{"id":1438,"date":"2019-01-14T03:06:23","date_gmt":"2019-01-14T03:06:23","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/ivytech-sci111\/chapter\/overview-2\/"},"modified":"2019-01-28T16:45:27","modified_gmt":"2019-01-28T16:45:27","slug":"overview-2","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/ivytech-sci111\/chapter\/overview-2\/","title":{"raw":"Module 4 Relation Between Electric Potential and Field","rendered":"Module 4 Relation Between Electric Potential and Field"},"content":{"raw":"<div class=\"boundless-concept\">\r\n\r\n&nbsp;\r\n\r\n<\/div>\r\n<div class=\"boundless-concept\">\r\n\r\n&nbsp;\r\n<h3>Potential Difference<\/h3>\r\nPotential difference, or voltage, is the difference in electric potential energy between two points. It is denoted by \u2206V and has units of volts, or joules per Coulomb.\r\n<div class=\"embed-wrap\">\r\n<div class=\"figure-cont\">\r\n<div>http:\/\/www.youtube.com\/watch?v=jjwwb2yfytk<\/div>\r\n<strong>Electric Potential Difference<\/strong>: A brief overview of electric potential difference and electric potential energy for beginning physics students.\r\n\r\n<\/div>\r\n<\/div>\r\nVoltage denotes the work per unit charge that must be done against a static electric field to move a charge from one point to another. It may represent a source of energy, or lost, stored or used energy. Voltage also is defined such that negative charges are pulled towards higher voltages, while positive charges move towards lower voltages. Thus, current in wires flows from higher to lower voltages.\r\n\r\nPotential difference is independent of path taken from one point to another, and may be measured by any of a number of instruments. These include the voltmeter, the potentiometer, and the oscilloscope. It is most typically measured in circuits, and in such situations can be calculated using Ohm 's Law, which will be covered in a later atom.\r\n<div class=\"wp-caption aligncenter\" style=\"width: 453px\">\r\n<div class=\"figure-cont\">\r\n\r\n<img class=\"\" src=\"https:\/\/textimgs.s3.amazonaws.com\/boundless-physics\/atic-definition-of-voltage.svg#fixme#fixme\" alt=\"image\" width=\"453\" height=\"453\" \/>\r\n<p class=\"wp-caption-text\"><strong>Potential difference in a static field<\/strong>: When a charge q moves from point A to point B, the potential difference is independent of path taken.<\/p>\r\n\r\n<\/div>\r\n<\/div>\r\n<\/div>\r\n<div class=\"boundless-concept\"><\/div>\r\n<div class=\"boundless-concept\">\r\n<div class=\"wp-caption aligncenter\" style=\"width: 362px\">\r\n<div class=\"figure-cont\">\r\n<p class=\"wp-caption-text\"><\/p>\r\n\r\n<\/div>\r\n<\/div>\r\n<\/div>\r\n<div class=\"boundless-concept\">\r\n<h2>Energy Conservation<\/h2>\r\nEnergy is conserved in the movement of a charged particle through an electric field, as it is in every other physical situation.\r\n<div class=\"textbox learning-objectives\">\r\n<h3>Learning Objectives<\/h3>\r\nFormulate energy conservation principle for a charged particle in an electric field\r\n\r\n<\/div>\r\n<div class=\"textbox key-takeaways\">\r\n<h3>Key Takeaways<\/h3>\r\n<h4>Key Points<\/h4>\r\n<ul>\r\n \t<li>Given a stationary test charge in a certain location, an applied electric field will cause the charge to move to one end or the other, depending on the charge.<\/li>\r\n \t<li>Positive test charges will move in the direction of the field; negative charges will move in the opposite direction.<\/li>\r\n \t<li>At the instant at which the field is applied, the motionless test charge has 0 kinetic energy, and its electric potential energy is at a maximum. Then, the charge accelerates, and its kinetic energy (from motion) increases as its potential energy decreases.The sum of energies is always constant.<\/li>\r\n \t<li>The formula illustrating conservation of energy can be written in many ways, but all expressions are based on the simple premise of equating the initial and final sums of kinetic and potential energy.<\/li>\r\n<\/ul>\r\n<h4>Key Terms<\/h4>\r\n<ul>\r\n \t<li><strong>kinetic energy<\/strong>: The energy possessed by an object because of its motion, equal to one half the mass of the body times the square of its velocity.<\/li>\r\n \t<li><strong>potential difference<\/strong>: The difference in potential energy between two points in an electric field; the difference in charge between two points in an electrical circuit; voltage.<\/li>\r\n \t<li><strong>potential energy<\/strong>: The energy an object has because of its position (in a gravitational or electric field) or its condition (as a stretched or compressed spring, as a chemical reactant, or by having rest mass)<\/li>\r\n<\/ul>\r\n<\/div>\r\nEnergy is conserved in the movement of a charged particle through an electric field, as it is in every other physical situation. This phenomenon can be expressed as the equality of summed kinetic (<em>E<sub>kin<\/sub><\/em>) and electric potential (<em>E<sub>el<\/sub><\/em>) energies:\r\n\r\n[latex](\\text{E}_{\\text{kin}}+\\text{E}_{\\text{el}})_{\\text{initial}}=(\\text{E}_{\\text{kin}}+\\text{E}_{\\text{el}})_{\\text{final}}[\/latex]\r\n\r\nGiven a stationary test charge in a certain location, an applied electric field will cause the charge to move to one end or the other, depending on the charge (positive test charges will move in the direction of the field; negative charges will move in the opposite direction). In all cases, a charge will naturally move from an area of higher potential energy to an area of lower potential energy.\r\n\r\nAt the instant at which the field is applied, the motionless test charge has 0 kinetic energy, and its electric potential energy is at a maximum. After that moment, the charge accelerates, and its kinetic energy (from motion) increases as its potential energy decreases. Throughout this time, the sum of potential and kinetic energies remains constant.\r\n\r\nAnother way to express the previous equation is:\r\n\r\n[latex](\\frac {1}{2}\\text{mv}^2+\\text{U})_{\\text{initial}}=(\\frac {1}{2}\\text{mv}^2+\\text{U})_{\\text{final}}[\/latex]\r\n\r\nwhere <em>m<\/em> and <em>v<\/em> are the mass and velocity of the electron, respectively, and <em>U<\/em> is the electric potential energy. <em>U<\/em> can be calculated as follows:\r\n\r\n[latex]\\text{U}=\\text{q}_0\\text{V}=\\text{k} \\frac{\\text{q}_0\\text{q}}{\\text{r}}[\/latex]\r\n\r\nwhere <em>V <\/em>is the potential difference, <em>k<\/em> is a constant, <em>q<\/em><sub>0<\/sub> is a test charge, <em>q<\/em> is another charge, and <em>r<\/em> is the distance between the charges.\r\n\r\nThe terms involved in the formula for conservation of energy can be rewritten in many ways, but all expressions are based on the simple premise of equating the initial and final sums of kinetic and potential energy.\r\n<div class=\"wp-caption aligncenter\" style=\"width: 372px\">\r\n<div class=\"figure-cont\">\r\n\r\n<img class=\"\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/2548\/2019\/01\/14030616\/figure-20-01-01a.jpeg\" alt=\"image\" width=\"372\" height=\"407\" \/>\r\n<p class=\"wp-caption-text\"><strong>Similarities Between Activity of Gravitational and Electric Fields on an Object<\/strong>: The charge, +q, is moved down the electric field in the same way that the object, m, is moved down the hill. In both instances, the particle in motion goes from a higher to a lower potential energy state.<\/p>\r\n\r\n<\/div>\r\n<\/div>\r\n<\/div>\r\n<div class=\"boundless-concept\">\r\n<h2>The Electron-Volt<\/h2>\r\nThe electron volt is a unit of energy useful in the physics of elementary charges and electricity.\r\n<div class=\"textbox learning-objectives\">\r\n<h3>Learning Objectives<\/h3>\r\nConvert between electron volts and SI units of energy\r\n\r\n<\/div>\r\n<div class=\"textbox key-takeaways\">\r\n<h3>Key Takeaways<\/h3>\r\n<h4>Key Points<\/h4>\r\n<ul>\r\n \t<li>The electron volt is defined as the amount of energy gained or lost by the charge of an electron moved across a one-volt electric potential difference. Its value is approximately equal to 1.602\u00d710<sup>-19<\/sup> J.<\/li>\r\n \t<li>The electron volt became useful through experimentation. Scientists working with electrostatic particle accelerators commonly used the relationship between energy (E), charge (q), and potential difference (V) in their work. This relationship is: E=qV.<\/li>\r\n \t<li>As an energy, the electron volt can be used in many calculations, including momentum, mass, wavelength, and temperature.<\/li>\r\n<\/ul>\r\n<h4>Key Terms<\/h4>\r\n<ul>\r\n \t<li><strong>potential difference<\/strong>: The difference in potential energy between two points in an electric field; the difference in charge between two points in an electrical circuit; voltage.<\/li>\r\n \t<li><strong>particle accelerator<\/strong>: A device that accelerates electrically charged particles to extremely high speeds, for the purpose of inducing high-energy reactions or producing high-energy radiation.<\/li>\r\n \t<li><strong>electron volt<\/strong>: A unit for measuring the energy of subatomic particles; the energy equal to that attained by an electron moving through a potential difference of one volt. Equivalent to 1.6022 x 10-19 joules.<\/li>\r\n<\/ul>\r\n<\/div>\r\n<h3>Overview<\/h3>\r\nThe electron volt, symbolized as eV and sometimes written as electronvolt, is a unit of energy useful in the physics of elementary charges and electricity.\r\n\r\nThe electron volt is defined as the amount of energy gained or lost by the charge of an electron moved across a one-volt electric potential difference. As such, it is equal to the product of one volt (1 J\/C) and one elementary charge, giving it a value in joules approximately equal to 1.602\u00d710<sup>-19<\/sup> J.\r\n\r\nNot an SI unit in itself, the electron volt became useful through experimentation. Scientists working with electrostatic particle accelerators commonly used the relationship between energy (E), charge (q), and potential difference (V) in their work:\r\n\r\n[latex]\\text{E}=\\text{qV}[\/latex]\r\n\r\nAll calculations of energy from the above equation were quantized as multiples of the elementary charge, q, for a given voltage, and thus arose the common usage of the electron volt as a unit of measurement.\r\n<h3>Momentum<\/h3>\r\nBoth electron volts and momentum are measures of energy, and the two are related in high-energy physics. Applying a potential difference to an electron gives it energy, which manifests itself in motion of the electron through it. Given that the electron has both mass and velocity, it has momentum. Dividing electron volts by a constant with units of velocity results in a momentum.\r\n<h3>Mass<\/h3>\r\nGiven that mass is equivalent to energy, the electron volt can measure mass. In particle physics, the equation E=mc<sup>2<\/sup> can be rearranged to solve for mass:\r\n\r\n[latex]\\text{m}=\\frac {\\text{E}}{\\text{c}^2}[\/latex]\r\n<h3>Wavelength<\/h3>\r\nThe energy <em>E<\/em>, frequency <em>v<\/em>, and wavelength \u03bb of a photon are related by\r\n\r\n[latex]\\text{E} (\\text{eV}) = \\text{hv} = \\frac{\\text{hc}}{\\lambda }[\/latex]\r\n\r\nwhere h is the Planck constant and c is the speed of light. Thus, a photon with a wavelength of 532 nm (green light) would have an energy of approximately 2.33 eV. Similarly, 1 eV would correspond to an infrared photon of wavelength 1240 nm, and so on.\r\n<div class=\"wp-caption aligncenter\" style=\"width: 610px\">\r\n<div class=\"figure-cont\">\r\n\r\n<img class=\"\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/2548\/2019\/01\/14030618\/605px-colors-in-ev.svg_.png\" alt=\"image\" width=\"610\" height=\"116\" \/>\r\n<p class=\"wp-caption-text\"><strong>Energy of Photons in the Visible Spectrum<\/strong>: Relationship between wavelength and energy expressed in electron volts.<\/p>\r\n\r\n<\/div>\r\n<\/div>\r\n<h3>Temperature<\/h3>\r\nIn plasma physics, the electron volt can be used as a unit of temperature. To convert to Kelvins, simply divide the value of 1 eV (in Joules) by the Boltzmann constant (1.3806505(24)\u00d710<sup>-23<\/sup> J\/K).\r\n\r\n<\/div>\r\n<div class=\"boundless-concept\">\r\n\r\n&nbsp;\r\n\r\n<\/div>","rendered":"<div class=\"boundless-concept\">\n<p>&nbsp;<\/p>\n<\/div>\n<div class=\"boundless-concept\">\n<p>&nbsp;<\/p>\n<h3>Potential Difference<\/h3>\n<p>Potential difference, or voltage, is the difference in electric potential energy between two points. It is denoted by \u2206V and has units of volts, or joules per Coulomb.<\/p>\n<div class=\"embed-wrap\">\n<div class=\"figure-cont\">\n<div>http:\/\/www.youtube.com\/watch?v=jjwwb2yfytk<\/div>\n<p><strong>Electric Potential Difference<\/strong>: A brief overview of electric potential difference and electric potential energy for beginning physics students.<\/p>\n<\/div>\n<\/div>\n<p>Voltage denotes the work per unit charge that must be done against a static electric field to move a charge from one point to another. It may represent a source of energy, or lost, stored or used energy. Voltage also is defined such that negative charges are pulled towards higher voltages, while positive charges move towards lower voltages. Thus, current in wires flows from higher to lower voltages.<\/p>\n<p>Potential difference is independent of path taken from one point to another, and may be measured by any of a number of instruments. These include the voltmeter, the potentiometer, and the oscilloscope. It is most typically measured in circuits, and in such situations can be calculated using Ohm &#8216;s Law, which will be covered in a later atom.<\/p>\n<div class=\"wp-caption aligncenter\" style=\"width: 453px\">\n<div class=\"figure-cont\">\n<p><img loading=\"lazy\" decoding=\"async\" class=\"\" src=\"https:\/\/textimgs.s3.amazonaws.com\/boundless-physics\/atic-definition-of-voltage.svg#fixme#fixme\" alt=\"image\" width=\"453\" height=\"453\" \/><\/p>\n<p class=\"wp-caption-text\"><strong>Potential difference in a static field<\/strong>: When a charge q moves from point A to point B, the potential difference is independent of path taken.<\/p>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"boundless-concept\"><\/div>\n<div class=\"boundless-concept\">\n<div class=\"wp-caption aligncenter\" style=\"width: 362px\">\n<div class=\"figure-cont\">\n<p class=\"wp-caption-text\">\n<\/div>\n<\/div>\n<\/div>\n<div class=\"boundless-concept\">\n<h2>Energy Conservation<\/h2>\n<p>Energy is conserved in the movement of a charged particle through an electric field, as it is in every other physical situation.<\/p>\n<div class=\"textbox learning-objectives\">\n<h3>Learning Objectives<\/h3>\n<p>Formulate energy conservation principle for a charged particle in an electric field<\/p>\n<\/div>\n<div class=\"textbox key-takeaways\">\n<h3>Key Takeaways<\/h3>\n<h4>Key Points<\/h4>\n<ul>\n<li>Given a stationary test charge in a certain location, an applied electric field will cause the charge to move to one end or the other, depending on the charge.<\/li>\n<li>Positive test charges will move in the direction of the field; negative charges will move in the opposite direction.<\/li>\n<li>At the instant at which the field is applied, the motionless test charge has 0 kinetic energy, and its electric potential energy is at a maximum. Then, the charge accelerates, and its kinetic energy (from motion) increases as its potential energy decreases.The sum of energies is always constant.<\/li>\n<li>The formula illustrating conservation of energy can be written in many ways, but all expressions are based on the simple premise of equating the initial and final sums of kinetic and potential energy.<\/li>\n<\/ul>\n<h4>Key Terms<\/h4>\n<ul>\n<li><strong>kinetic energy<\/strong>: The energy possessed by an object because of its motion, equal to one half the mass of the body times the square of its velocity.<\/li>\n<li><strong>potential difference<\/strong>: The difference in potential energy between two points in an electric field; the difference in charge between two points in an electrical circuit; voltage.<\/li>\n<li><strong>potential energy<\/strong>: The energy an object has because of its position (in a gravitational or electric field) or its condition (as a stretched or compressed spring, as a chemical reactant, or by having rest mass)<\/li>\n<\/ul>\n<\/div>\n<p>Energy is conserved in the movement of a charged particle through an electric field, as it is in every other physical situation. This phenomenon can be expressed as the equality of summed kinetic (<em>E<sub>kin<\/sub><\/em>) and electric potential (<em>E<sub>el<\/sub><\/em>) energies:<\/p>\n<p>[latex](\\text{E}_{\\text{kin}}+\\text{E}_{\\text{el}})_{\\text{initial}}=(\\text{E}_{\\text{kin}}+\\text{E}_{\\text{el}})_{\\text{final}}[\/latex]<\/p>\n<p>Given a stationary test charge in a certain location, an applied electric field will cause the charge to move to one end or the other, depending on the charge (positive test charges will move in the direction of the field; negative charges will move in the opposite direction). In all cases, a charge will naturally move from an area of higher potential energy to an area of lower potential energy.<\/p>\n<p>At the instant at which the field is applied, the motionless test charge has 0 kinetic energy, and its electric potential energy is at a maximum. After that moment, the charge accelerates, and its kinetic energy (from motion) increases as its potential energy decreases. Throughout this time, the sum of potential and kinetic energies remains constant.<\/p>\n<p>Another way to express the previous equation is:<\/p>\n<p>[latex](\\frac {1}{2}\\text{mv}^2+\\text{U})_{\\text{initial}}=(\\frac {1}{2}\\text{mv}^2+\\text{U})_{\\text{final}}[\/latex]<\/p>\n<p>where <em>m<\/em> and <em>v<\/em> are the mass and velocity of the electron, respectively, and <em>U<\/em> is the electric potential energy. <em>U<\/em> can be calculated as follows:<\/p>\n<p>[latex]\\text{U}=\\text{q}_0\\text{V}=\\text{k} \\frac{\\text{q}_0\\text{q}}{\\text{r}}[\/latex]<\/p>\n<p>where <em>V <\/em>is the potential difference, <em>k<\/em> is a constant, <em>q<\/em><sub>0<\/sub> is a test charge, <em>q<\/em> is another charge, and <em>r<\/em> is the distance between the charges.<\/p>\n<p>The terms involved in the formula for conservation of energy can be rewritten in many ways, but all expressions are based on the simple premise of equating the initial and final sums of kinetic and potential energy.<\/p>\n<div class=\"wp-caption aligncenter\" style=\"width: 372px\">\n<div class=\"figure-cont\">\n<p><img loading=\"lazy\" decoding=\"async\" class=\"\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/2548\/2019\/01\/14030616\/figure-20-01-01a.jpeg\" alt=\"image\" width=\"372\" height=\"407\" \/><\/p>\n<p class=\"wp-caption-text\"><strong>Similarities Between Activity of Gravitational and Electric Fields on an Object<\/strong>: The charge, +q, is moved down the electric field in the same way that the object, m, is moved down the hill. In both instances, the particle in motion goes from a higher to a lower potential energy state.<\/p>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"boundless-concept\">\n<h2>The Electron-Volt<\/h2>\n<p>The electron volt is a unit of energy useful in the physics of elementary charges and electricity.<\/p>\n<div class=\"textbox learning-objectives\">\n<h3>Learning Objectives<\/h3>\n<p>Convert between electron volts and SI units of energy<\/p>\n<\/div>\n<div class=\"textbox key-takeaways\">\n<h3>Key Takeaways<\/h3>\n<h4>Key Points<\/h4>\n<ul>\n<li>The electron volt is defined as the amount of energy gained or lost by the charge of an electron moved across a one-volt electric potential difference. Its value is approximately equal to 1.602\u00d710<sup>-19<\/sup> J.<\/li>\n<li>The electron volt became useful through experimentation. Scientists working with electrostatic particle accelerators commonly used the relationship between energy (E), charge (q), and potential difference (V) in their work. This relationship is: E=qV.<\/li>\n<li>As an energy, the electron volt can be used in many calculations, including momentum, mass, wavelength, and temperature.<\/li>\n<\/ul>\n<h4>Key Terms<\/h4>\n<ul>\n<li><strong>potential difference<\/strong>: The difference in potential energy between two points in an electric field; the difference in charge between two points in an electrical circuit; voltage.<\/li>\n<li><strong>particle accelerator<\/strong>: A device that accelerates electrically charged particles to extremely high speeds, for the purpose of inducing high-energy reactions or producing high-energy radiation.<\/li>\n<li><strong>electron volt<\/strong>: A unit for measuring the energy of subatomic particles; the energy equal to that attained by an electron moving through a potential difference of one volt. Equivalent to 1.6022 x 10-19 joules.<\/li>\n<\/ul>\n<\/div>\n<h3>Overview<\/h3>\n<p>The electron volt, symbolized as eV and sometimes written as electronvolt, is a unit of energy useful in the physics of elementary charges and electricity.<\/p>\n<p>The electron volt is defined as the amount of energy gained or lost by the charge of an electron moved across a one-volt electric potential difference. As such, it is equal to the product of one volt (1 J\/C) and one elementary charge, giving it a value in joules approximately equal to 1.602\u00d710<sup>-19<\/sup> J.<\/p>\n<p>Not an SI unit in itself, the electron volt became useful through experimentation. Scientists working with electrostatic particle accelerators commonly used the relationship between energy (E), charge (q), and potential difference (V) in their work:<\/p>\n<p>[latex]\\text{E}=\\text{qV}[\/latex]<\/p>\n<p>All calculations of energy from the above equation were quantized as multiples of the elementary charge, q, for a given voltage, and thus arose the common usage of the electron volt as a unit of measurement.<\/p>\n<h3>Momentum<\/h3>\n<p>Both electron volts and momentum are measures of energy, and the two are related in high-energy physics. Applying a potential difference to an electron gives it energy, which manifests itself in motion of the electron through it. Given that the electron has both mass and velocity, it has momentum. Dividing electron volts by a constant with units of velocity results in a momentum.<\/p>\n<h3>Mass<\/h3>\n<p>Given that mass is equivalent to energy, the electron volt can measure mass. In particle physics, the equation E=mc<sup>2<\/sup> can be rearranged to solve for mass:<\/p>\n<p>[latex]\\text{m}=\\frac {\\text{E}}{\\text{c}^2}[\/latex]<\/p>\n<h3>Wavelength<\/h3>\n<p>The energy <em>E<\/em>, frequency <em>v<\/em>, and wavelength \u03bb of a photon are related by<\/p>\n<p>[latex]\\text{E} (\\text{eV}) = \\text{hv} = \\frac{\\text{hc}}{\\lambda }[\/latex]<\/p>\n<p>where h is the Planck constant and c is the speed of light. Thus, a photon with a wavelength of 532 nm (green light) would have an energy of approximately 2.33 eV. Similarly, 1 eV would correspond to an infrared photon of wavelength 1240 nm, and so on.<\/p>\n<div class=\"wp-caption aligncenter\" style=\"width: 610px\">\n<div class=\"figure-cont\">\n<p><img loading=\"lazy\" decoding=\"async\" class=\"\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/2548\/2019\/01\/14030618\/605px-colors-in-ev.svg_.png\" alt=\"image\" width=\"610\" height=\"116\" \/><\/p>\n<p class=\"wp-caption-text\"><strong>Energy of Photons in the Visible Spectrum<\/strong>: Relationship between wavelength and energy expressed in electron volts.<\/p>\n<\/div>\n<\/div>\n<h3>Temperature<\/h3>\n<p>In plasma physics, the electron volt can be used as a unit of temperature. To convert to Kelvins, simply divide the value of 1 eV (in Joules) by the Boltzmann constant (1.3806505(24)\u00d710<sup>-23<\/sup> J\/K).<\/p>\n<\/div>\n<div class=\"boundless-concept\">\n<p>&nbsp;<\/p>\n<\/div>\n\n\t\t\t <section class=\"citations-section\" role=\"contentinfo\">\n\t\t\t <h3>Candela Citations<\/h3>\n\t\t\t\t\t <div>\n\t\t\t\t\t\t <div id=\"citation-list-1438\">\n\t\t\t\t\t\t\t <div class=\"licensing\"><div class=\"license-attribution-dropdown-subheading\">CC licensed content, Shared previously<\/div><ul class=\"citation-list\"><li>Curation and Revision. <strong>Provided by<\/strong>: Boundless.com. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by-sa\/4.0\/\">CC BY-SA: Attribution-ShareAlike<\/a><\/em><\/li><\/ul><div class=\"license-attribution-dropdown-subheading\">CC licensed content, Specific attribution<\/div><ul class=\"citation-list\"><li>electric field. <strong>Provided by<\/strong>: Wiktionary. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"http:\/\/en.wiktionary.org\/wiki\/electric_field\">http:\/\/en.wiktionary.org\/wiki\/electric_field<\/a>. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by-sa\/4.0\/\">CC BY-SA: Attribution-ShareAlike<\/a><\/em><\/li><li>Electric potential. <strong>Provided by<\/strong>: Wikipedia. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"http:\/\/en.wikipedia.org\/wiki\/Electric_potential\">http:\/\/en.wikipedia.org\/wiki\/Electric_potential<\/a>. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by-sa\/4.0\/\">CC BY-SA: Attribution-ShareAlike<\/a><\/em><\/li><li>Electric field. <strong>Provided by<\/strong>: Wikipedia. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"http:\/\/en.wikipedia.org\/wiki\/Electric_field\">http:\/\/en.wikipedia.org\/wiki\/Electric_field<\/a>. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by-sa\/4.0\/\">CC BY-SA: Attribution-ShareAlike<\/a><\/em><\/li><li>electric potential. <strong>Provided by<\/strong>: Wiktionary. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"http:\/\/en.wiktionary.org\/wiki\/electric_potential\">http:\/\/en.wiktionary.org\/wiki\/electric_potential<\/a>. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by-sa\/4.0\/\">CC BY-SA: Attribution-ShareAlike<\/a><\/em><\/li><li>Electric field. <strong>Provided by<\/strong>: Wikipedia. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"http:\/\/en.wikipedia.org\/wiki\/File:Electric_field.gif\">http:\/\/en.wikipedia.org\/wiki\/File:Electric_field.gif<\/a>. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by-sa\/4.0\/\">CC BY-SA: Attribution-ShareAlike<\/a><\/em><\/li><li>Voltage. <strong>Provided by<\/strong>: Wikipedia. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"http:\/\/en.wikipedia.org\/wiki\/Voltage\">http:\/\/en.wikipedia.org\/wiki\/Voltage<\/a>. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by-sa\/4.0\/\">CC BY-SA: Attribution-ShareAlike<\/a><\/em><\/li><li>Electric potential energy. <strong>Provided by<\/strong>: Wikipedia. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"http:\/\/en.wikipedia.org\/wiki\/Electric_potential_energy\">http:\/\/en.wikipedia.org\/wiki\/Electric_potential_energy<\/a>. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by-sa\/4.0\/\">CC BY-SA: Attribution-ShareAlike<\/a><\/em><\/li><li>potential energy. <strong>Provided by<\/strong>: Wikipedia. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"http:\/\/en.wikipedia.org\/wiki\/potential%20energy\">http:\/\/en.wikipedia.org\/wiki\/potential%20energy<\/a>. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by-sa\/4.0\/\">CC BY-SA: Attribution-ShareAlike<\/a><\/em><\/li><li>coulomb. <strong>Provided by<\/strong>: Wiktionary. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"http:\/\/en.wiktionary.org\/wiki\/coulomb\">http:\/\/en.wiktionary.org\/wiki\/coulomb<\/a>. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by-sa\/4.0\/\">CC BY-SA: Attribution-ShareAlike<\/a><\/em><\/li><li>Electric field. <strong>Provided by<\/strong>: Wikipedia. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"http:\/\/en.wikipedia.org\/wiki\/File:Electric_field.gif\">http:\/\/en.wikipedia.org\/wiki\/File:Electric_field.gif<\/a>. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by-sa\/4.0\/\">CC BY-SA: Attribution-ShareAlike<\/a><\/em><\/li><li>Electrostatic definition of voltage. <strong>Provided by<\/strong>: Wikipedia. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"http:\/\/en.wikipedia.org\/wiki\/File:Electrostatic_definition_of_voltage.svg\">http:\/\/en.wikipedia.org\/wiki\/File:Electrostatic_definition_of_voltage.svg<\/a>. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by-sa\/4.0\/\">CC BY-SA: Attribution-ShareAlike<\/a><\/em><\/li><li>Electric Potential Difference. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"http:\/\/www.youtube.com\/watch?v=jjwwb2yfytk\">http:\/\/www.youtube.com\/watch?v=jjwwb2yfytk<\/a>. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/about\/pdm\">Public Domain: No Known Copyright<\/a><\/em>. <strong>License Terms<\/strong>: Standard YouTube license<\/li><li>OpenStax College, Equipotential Lines. September 17, 2013. <strong>Provided by<\/strong>: OpenStax CNX. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"http:\/\/cnx.org\/content\/m42331\/latest\/\">http:\/\/cnx.org\/content\/m42331\/latest\/<\/a>. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">CC BY: Attribution<\/a><\/em><\/li><li>radial. <strong>Provided by<\/strong>: Wiktionary. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"http:\/\/en.wiktionary.org\/wiki\/radial\">http:\/\/en.wiktionary.org\/wiki\/radial<\/a>. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by-sa\/4.0\/\">CC BY-SA: Attribution-ShareAlike<\/a><\/em><\/li><li>equipotential. <strong>Provided by<\/strong>: Wiktionary. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"http:\/\/en.wiktionary.org\/wiki\/equipotential\">http:\/\/en.wiktionary.org\/wiki\/equipotential<\/a>. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by-sa\/4.0\/\">CC BY-SA: Attribution-ShareAlike<\/a><\/em><\/li><li>Electric field. <strong>Provided by<\/strong>: Wikipedia. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"http:\/\/en.wikipedia.org\/wiki\/File:Electric_field.gif\">http:\/\/en.wikipedia.org\/wiki\/File:Electric_field.gif<\/a>. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by-sa\/4.0\/\">CC BY-SA: Attribution-ShareAlike<\/a><\/em><\/li><li>Electrostatic definition of voltage. <strong>Provided by<\/strong>: Wikipedia. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"http:\/\/en.wikipedia.org\/wiki\/File:Electrostatic_definition_of_voltage.svg\">http:\/\/en.wikipedia.org\/wiki\/File:Electrostatic_definition_of_voltage.svg<\/a>. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by-sa\/4.0\/\">CC BY-SA: Attribution-ShareAlike<\/a><\/em><\/li><li>Electric Potential Difference. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"http:\/\/www.youtube.com\/watch?v=jjwwb2yfytk\">http:\/\/www.youtube.com\/watch?v=jjwwb2yfytk<\/a>. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/about\/pdm\">Public Domain: No Known Copyright<\/a><\/em>. <strong>License Terms<\/strong>: Standard YouTube license<\/li><li>OpenStax College, Equipotential Lines. January 4, 2013. <strong>Provided by<\/strong>: OpenStax CNX. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"http:\/\/cnx.org\/content\/m42331\/latest\/\">http:\/\/cnx.org\/content\/m42331\/latest\/<\/a>. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">CC BY: Attribution<\/a><\/em><\/li><li>electric potential. <strong>Provided by<\/strong>: Wiktionary. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"http:\/\/en.wiktionary.org\/wiki\/electric_potential\">http:\/\/en.wiktionary.org\/wiki\/electric_potential<\/a>. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by-sa\/4.0\/\">CC BY-SA: Attribution-ShareAlike<\/a><\/em><\/li><li>electric field. <strong>Provided by<\/strong>: Wiktionary. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"http:\/\/en.wiktionary.org\/wiki\/electric_field\">http:\/\/en.wiktionary.org\/wiki\/electric_field<\/a>. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by-sa\/4.0\/\">CC BY-SA: Attribution-ShareAlike<\/a><\/em><\/li><li>Electric potential. <strong>Provided by<\/strong>: Wikipedia. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"http:\/\/en.wikipedia.org\/wiki\/Electric_potential\">http:\/\/en.wikipedia.org\/wiki\/Electric_potential<\/a>. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by-sa\/4.0\/\">CC BY-SA: Attribution-ShareAlike<\/a><\/em><\/li><li>work. <strong>Provided by<\/strong>: Wiktionary. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"http:\/\/en.wiktionary.org\/wiki\/work\">http:\/\/en.wiktionary.org\/wiki\/work<\/a>. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by-sa\/4.0\/\">CC BY-SA: Attribution-ShareAlike<\/a><\/em><\/li><li>Electric field. <strong>Provided by<\/strong>: Wikipedia. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"http:\/\/en.wikipedia.org\/wiki\/File:Electric_field.gif\">http:\/\/en.wikipedia.org\/wiki\/File:Electric_field.gif<\/a>. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by-sa\/4.0\/\">CC BY-SA: Attribution-ShareAlike<\/a><\/em><\/li><li>Electrostatic definition of voltage. <strong>Provided by<\/strong>: Wikipedia. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"http:\/\/en.wikipedia.org\/wiki\/File:Electrostatic_definition_of_voltage.svg\">http:\/\/en.wikipedia.org\/wiki\/File:Electrostatic_definition_of_voltage.svg<\/a>. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by-sa\/4.0\/\">CC BY-SA: Attribution-ShareAlike<\/a><\/em><\/li><li>Electric Potential Difference. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"http:\/\/www.youtube.com\/watch?v=jjwwb2yfytk\">http:\/\/www.youtube.com\/watch?v=jjwwb2yfytk<\/a>. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/about\/pdm\">Public Domain: No Known Copyright<\/a><\/em>. <strong>License Terms<\/strong>: Standard YouTube license<\/li><li>OpenStax College, Equipotential Lines. January 4, 2013. <strong>Provided by<\/strong>: OpenStax CNX. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"http:\/\/cnx.org\/content\/m42331\/latest\/\">http:\/\/cnx.org\/content\/m42331\/latest\/<\/a>. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">CC BY: Attribution<\/a><\/em><\/li><li>OpenStax College, College Physics. December 28, 2012. <strong>Provided by<\/strong>: OpenStax CNX. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"http:\/\/cnx.org\/content\/m42317\/latest\/?collection=col11406\/latest\">http:\/\/cnx.org\/content\/m42317\/latest\/?collection=col11406\/latest<\/a>. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">CC BY: Attribution<\/a><\/em><\/li><li>potential difference. <strong>Provided by<\/strong>: Wiktionary. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"http:\/\/en.wiktionary.org\/wiki\/potential_difference\">http:\/\/en.wiktionary.org\/wiki\/potential_difference<\/a>. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by-sa\/4.0\/\">CC BY-SA: Attribution-ShareAlike<\/a><\/em><\/li><li>electric field. <strong>Provided by<\/strong>: Wiktionary. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"http:\/\/en.wiktionary.org\/wiki\/electric_field\">http:\/\/en.wiktionary.org\/wiki\/electric_field<\/a>. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by-sa\/4.0\/\">CC BY-SA: Attribution-ShareAlike<\/a><\/em><\/li><li>Electric field. <strong>Provided by<\/strong>: Wikipedia. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"http:\/\/en.wikipedia.org\/wiki\/Electric_field\">http:\/\/en.wikipedia.org\/wiki\/Electric_field<\/a>. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by-sa\/4.0\/\">CC BY-SA: Attribution-ShareAlike<\/a><\/em><\/li><li>OpenStax College, Electric Potential in a Uniform Electric Field. September 17, 2013. <strong>Provided by<\/strong>: OpenStax CNX. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"http:\/\/cnx.org\/content\/m42326\/latest\/\">http:\/\/cnx.org\/content\/m42326\/latest\/<\/a>. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">CC BY: Attribution<\/a><\/em><\/li><li>Electric field. <strong>Provided by<\/strong>: Wikipedia. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"http:\/\/en.wikipedia.org\/wiki\/File:Electric_field.gif\">http:\/\/en.wikipedia.org\/wiki\/File:Electric_field.gif<\/a>. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by-sa\/4.0\/\">CC BY-SA: Attribution-ShareAlike<\/a><\/em><\/li><li>Electrostatic definition of voltage. <strong>Provided by<\/strong>: Wikipedia. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"http:\/\/en.wikipedia.org\/wiki\/File:Electrostatic_definition_of_voltage.svg\">http:\/\/en.wikipedia.org\/wiki\/File:Electrostatic_definition_of_voltage.svg<\/a>. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by-sa\/4.0\/\">CC BY-SA: Attribution-ShareAlike<\/a><\/em><\/li><li>Electric Potential Difference. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"http:\/\/www.youtube.com\/watch?v=jjwwb2yfytk\">http:\/\/www.youtube.com\/watch?v=jjwwb2yfytk<\/a>. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/about\/pdm\">Public Domain: No Known Copyright<\/a><\/em>. <strong>License Terms<\/strong>: Standard YouTube license<\/li><li>OpenStax College, Equipotential Lines. January 4, 2013. <strong>Provided by<\/strong>: OpenStax CNX. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"http:\/\/cnx.org\/content\/m42331\/latest\/\">http:\/\/cnx.org\/content\/m42331\/latest\/<\/a>. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">CC BY: Attribution<\/a><\/em><\/li><li>OpenStax College, College Physics. December 28, 2012. <strong>Provided by<\/strong>: OpenStax CNX. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"http:\/\/cnx.org\/content\/m42317\/latest\/?collection=col11406\/latest\">http:\/\/cnx.org\/content\/m42317\/latest\/?collection=col11406\/latest<\/a>. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">CC BY: Attribution<\/a><\/em><\/li><li>OpenStax College, Electric Potential in a Uniform Electric Field. January 4, 2013. <strong>Provided by<\/strong>: OpenStax CNX. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"http:\/\/cnx.org\/content\/m42326\/latest\/\">http:\/\/cnx.org\/content\/m42326\/latest\/<\/a>. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">CC BY: Attribution<\/a><\/em><\/li><li>Electric potential energy. <strong>Provided by<\/strong>: Wikipedia. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"http:\/\/en.wikipedia.org\/wiki\/Electric_potential_energy\">http:\/\/en.wikipedia.org\/wiki\/Electric_potential_energy<\/a>. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by-sa\/4.0\/\">CC BY-SA: Attribution-ShareAlike<\/a><\/em><\/li><li>potential difference. <strong>Provided by<\/strong>: Wiktionary. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"http:\/\/en.wiktionary.org\/wiki\/potential_difference\">http:\/\/en.wiktionary.org\/wiki\/potential_difference<\/a>. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by-sa\/4.0\/\">CC BY-SA: Attribution-ShareAlike<\/a><\/em><\/li><li>kinetic energy. <strong>Provided by<\/strong>: Wikipedia. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"http:\/\/en.wikipedia.org\/wiki\/kinetic%20energy\">http:\/\/en.wikipedia.org\/wiki\/kinetic%20energy<\/a>. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by-sa\/4.0\/\">CC BY-SA: Attribution-ShareAlike<\/a><\/em><\/li><li>potential energy. <strong>Provided by<\/strong>: Wikipedia. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"http:\/\/en.wikipedia.org\/wiki\/potential%20energy\">http:\/\/en.wikipedia.org\/wiki\/potential%20energy<\/a>. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by-sa\/4.0\/\">CC BY-SA: Attribution-ShareAlike<\/a><\/em><\/li><li>Electric field. <strong>Provided by<\/strong>: Wikipedia. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"http:\/\/en.wikipedia.org\/wiki\/File:Electric_field.gif\">http:\/\/en.wikipedia.org\/wiki\/File:Electric_field.gif<\/a>. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by-sa\/4.0\/\">CC BY-SA: Attribution-ShareAlike<\/a><\/em><\/li><li>Electrostatic definition of voltage. <strong>Provided by<\/strong>: Wikipedia. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"http:\/\/en.wikipedia.org\/wiki\/File:Electrostatic_definition_of_voltage.svg\">http:\/\/en.wikipedia.org\/wiki\/File:Electrostatic_definition_of_voltage.svg<\/a>. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by-sa\/4.0\/\">CC BY-SA: Attribution-ShareAlike<\/a><\/em><\/li><li>Electric Potential Difference. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"http:\/\/www.youtube.com\/watch?v=jjwwb2yfytk\">http:\/\/www.youtube.com\/watch?v=jjwwb2yfytk<\/a>. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/about\/pdm\">Public Domain: No Known Copyright<\/a><\/em>. <strong>License Terms<\/strong>: Standard YouTube license<\/li><li>OpenStax College, Equipotential Lines. January 4, 2013. <strong>Provided by<\/strong>: OpenStax CNX. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"http:\/\/cnx.org\/content\/m42331\/latest\/\">http:\/\/cnx.org\/content\/m42331\/latest\/<\/a>. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">CC BY: Attribution<\/a><\/em><\/li><li>OpenStax College, College Physics. December 28, 2012. <strong>Provided by<\/strong>: OpenStax CNX. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"http:\/\/cnx.org\/content\/m42317\/latest\/?collection=col11406\/latest\">http:\/\/cnx.org\/content\/m42317\/latest\/?collection=col11406\/latest<\/a>. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">CC BY: Attribution<\/a><\/em><\/li><li>OpenStax College, Electric Potential in a Uniform Electric Field. January 4, 2013. <strong>Provided by<\/strong>: OpenStax CNX. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"http:\/\/cnx.org\/content\/m42326\/latest\/\">http:\/\/cnx.org\/content\/m42326\/latest\/<\/a>. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">CC BY: Attribution<\/a><\/em><\/li><li>OpenStax College, Electric Potential Energy: Potential Difference. January 3, 2013. <strong>Provided by<\/strong>: OpenStax CNX. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"http:\/\/cnx.org\/content\/m42324\/latest\/\">http:\/\/cnx.org\/content\/m42324\/latest\/<\/a>. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">CC BY: Attribution<\/a><\/em><\/li><li>potential difference. <strong>Provided by<\/strong>: Wiktionary. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"http:\/\/en.wiktionary.org\/wiki\/potential_difference\">http:\/\/en.wiktionary.org\/wiki\/potential_difference<\/a>. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by-sa\/4.0\/\">CC BY-SA: Attribution-ShareAlike<\/a><\/em><\/li><li>Electronvolt. <strong>Provided by<\/strong>: Wikipedia. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"http:\/\/en.wikipedia.org\/wiki\/Electronvolt\">http:\/\/en.wikipedia.org\/wiki\/Electronvolt<\/a>. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by-sa\/4.0\/\">CC BY-SA: Attribution-ShareAlike<\/a><\/em><\/li><li>electron volt. <strong>Provided by<\/strong>: Wiktionary. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"http:\/\/en.wiktionary.org\/wiki\/electron_volt\">http:\/\/en.wiktionary.org\/wiki\/electron_volt<\/a>. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by-sa\/4.0\/\">CC BY-SA: Attribution-ShareAlike<\/a><\/em><\/li><li>particle accelerator. <strong>Provided by<\/strong>: Wiktionary. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"http:\/\/en.wiktionary.org\/wiki\/particle_accelerator\">http:\/\/en.wiktionary.org\/wiki\/particle_accelerator<\/a>. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by-sa\/4.0\/\">CC BY-SA: Attribution-ShareAlike<\/a><\/em><\/li><li>Electric field. <strong>Provided by<\/strong>: Wikipedia. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"http:\/\/en.wikipedia.org\/wiki\/File:Electric_field.gif\">http:\/\/en.wikipedia.org\/wiki\/File:Electric_field.gif<\/a>. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by-sa\/4.0\/\">CC BY-SA: Attribution-ShareAlike<\/a><\/em><\/li><li>Electrostatic definition of voltage. <strong>Provided by<\/strong>: Wikipedia. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"http:\/\/en.wikipedia.org\/wiki\/File:Electrostatic_definition_of_voltage.svg\">http:\/\/en.wikipedia.org\/wiki\/File:Electrostatic_definition_of_voltage.svg<\/a>. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by-sa\/4.0\/\">CC BY-SA: Attribution-ShareAlike<\/a><\/em><\/li><li>Electric Potential Difference. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"http:\/\/www.youtube.com\/watch?v=jjwwb2yfytk\">http:\/\/www.youtube.com\/watch?v=jjwwb2yfytk<\/a>. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/about\/pdm\">Public Domain: No Known Copyright<\/a><\/em>. <strong>License Terms<\/strong>: Standard YouTube license<\/li><li>OpenStax College, Equipotential Lines. January 4, 2013. <strong>Provided by<\/strong>: OpenStax CNX. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"http:\/\/cnx.org\/content\/m42331\/latest\/\">http:\/\/cnx.org\/content\/m42331\/latest\/<\/a>. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">CC BY: Attribution<\/a><\/em><\/li><li>OpenStax College, College Physics. December 28, 2012. <strong>Provided by<\/strong>: OpenStax CNX. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"http:\/\/cnx.org\/content\/m42317\/latest\/?collection=col11406\/latest\">http:\/\/cnx.org\/content\/m42317\/latest\/?collection=col11406\/latest<\/a>. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">CC BY: Attribution<\/a><\/em><\/li><li>OpenStax College, Electric Potential in a Uniform Electric Field. January 4, 2013. <strong>Provided by<\/strong>: OpenStax CNX. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"http:\/\/cnx.org\/content\/m42326\/latest\/\">http:\/\/cnx.org\/content\/m42326\/latest\/<\/a>. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">CC BY: Attribution<\/a><\/em><\/li><li>OpenStax College, Electric Potential Energy: Potential Difference. January 3, 2013. <strong>Provided by<\/strong>: OpenStax CNX. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"http:\/\/cnx.org\/content\/m42324\/latest\/\">http:\/\/cnx.org\/content\/m42324\/latest\/<\/a>. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">CC BY: Attribution<\/a><\/em><\/li><li><strong>Provided by<\/strong>: Wikimedia. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"http:\/\/upload.wikimedia.org\/wikipedia\/commons\/thumb\/7\/7f\/Colors_in_eV.svg\/605px-Colors_in_eV.svg.png\">http:\/\/upload.wikimedia.org\/wikipedia\/commons\/thumb\/7\/7f\/Colors_in_eV.svg\/605px-Colors_in_eV.svg.png<\/a>. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by-sa\/4.0\/\">CC BY-SA: Attribution-ShareAlike<\/a><\/em><\/li><li>Electric dipole moment. <strong>Provided by<\/strong>: Wikipedia. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"http:\/\/en.wikipedia.org\/wiki\/Electric_dipole_moment\">http:\/\/en.wikipedia.org\/wiki\/Electric_dipole_moment<\/a>. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by-sa\/4.0\/\">CC BY-SA: Attribution-ShareAlike<\/a><\/em><\/li><li>torque. <strong>Provided by<\/strong>: Wiktionary. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"http:\/\/en.wiktionary.org\/wiki\/torque\">http:\/\/en.wiktionary.org\/wiki\/torque<\/a>. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by-sa\/4.0\/\">CC BY-SA: Attribution-ShareAlike<\/a><\/em><\/li><li>vector. <strong>Provided by<\/strong>: Wiktionary. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"http:\/\/en.wiktionary.org\/wiki\/vector\">http:\/\/en.wiktionary.org\/wiki\/vector<\/a>. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by-sa\/4.0\/\">CC BY-SA: Attribution-ShareAlike<\/a><\/em><\/li><li>dipole moment. <strong>Provided by<\/strong>: Wiktionary. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"http:\/\/en.wiktionary.org\/wiki\/dipole_moment\">http:\/\/en.wiktionary.org\/wiki\/dipole_moment<\/a>. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by-sa\/4.0\/\">CC BY-SA: Attribution-ShareAlike<\/a><\/em><\/li><li>Electric field. <strong>Provided by<\/strong>: Wikipedia. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"http:\/\/en.wikipedia.org\/wiki\/File:Electric_field.gif\">http:\/\/en.wikipedia.org\/wiki\/File:Electric_field.gif<\/a>. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by-sa\/4.0\/\">CC BY-SA: Attribution-ShareAlike<\/a><\/em><\/li><li>Electrostatic definition of voltage. <strong>Provided by<\/strong>: Wikipedia. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"http:\/\/en.wikipedia.org\/wiki\/File:Electrostatic_definition_of_voltage.svg\">http:\/\/en.wikipedia.org\/wiki\/File:Electrostatic_definition_of_voltage.svg<\/a>. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by-sa\/4.0\/\">CC BY-SA: Attribution-ShareAlike<\/a><\/em><\/li><li>Electric Potential Difference. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"http:\/\/www.youtube.com\/watch?v=jjwwb2yfytk\">http:\/\/www.youtube.com\/watch?v=jjwwb2yfytk<\/a>. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/about\/pdm\">Public Domain: No Known Copyright<\/a><\/em>. <strong>License Terms<\/strong>: Standard YouTube license<\/li><li>OpenStax College, Equipotential Lines. January 4, 2013. <strong>Provided by<\/strong>: OpenStax CNX. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"http:\/\/cnx.org\/content\/m42331\/latest\/\">http:\/\/cnx.org\/content\/m42331\/latest\/<\/a>. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">CC BY: Attribution<\/a><\/em><\/li><li>OpenStax College, College Physics. December 28, 2012. <strong>Provided by<\/strong>: OpenStax CNX. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"http:\/\/cnx.org\/content\/m42317\/latest\/?collection=col11406\/latest\">http:\/\/cnx.org\/content\/m42317\/latest\/?collection=col11406\/latest<\/a>. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">CC BY: Attribution<\/a><\/em><\/li><li>OpenStax College, Electric Potential in a Uniform Electric Field. January 4, 2013. <strong>Provided by<\/strong>: OpenStax CNX. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"http:\/\/cnx.org\/content\/m42326\/latest\/\">http:\/\/cnx.org\/content\/m42326\/latest\/<\/a>. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">CC BY: Attribution<\/a><\/em><\/li><li>OpenStax College, Electric Potential Energy: Potential Difference. January 3, 2013. <strong>Provided by<\/strong>: OpenStax CNX. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"http:\/\/cnx.org\/content\/m42324\/latest\/\">http:\/\/cnx.org\/content\/m42324\/latest\/<\/a>. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">CC BY: Attribution<\/a><\/em><\/li><li><strong>Provided by<\/strong>: Wikimedia. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"http:\/\/upload.wikimedia.org\/wikipedia\/commons\/thumb\/7\/7f\/Colors_in_eV.svg\/605px-Colors_in_eV.svg.png\">http:\/\/upload.wikimedia.org\/wikipedia\/commons\/thumb\/7\/7f\/Colors_in_eV.svg\/605px-Colors_in_eV.svg.png<\/a>. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by-sa\/4.0\/\">CC BY-SA: Attribution-ShareAlike<\/a><\/em><\/li><li>Water-elpot-transparent-3D-balls. <strong>Provided by<\/strong>: Wikipedia. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"http:\/\/en.wikipedia.org\/wiki\/File:Water-elpot-transparent-3D-balls.png\">http:\/\/en.wikipedia.org\/wiki\/File:Water-elpot-transparent-3D-balls.png<\/a>. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by-sa\/4.0\/\">CC BY-SA: Attribution-ShareAlike<\/a><\/em><\/li><\/ul><\/div>\n\t\t\t\t\t\t <\/div>\n\t\t\t\t\t <\/div>\n\t\t\t <\/section>","protected":false},"author":18,"menu_order":12,"template":"","meta":{"_candela_citation":"[{\"type\":\"cc-attribution\",\"description\":\"electric field\",\"author\":\"\",\"organization\":\"Wiktionary\",\"url\":\"http:\/\/en.wiktionary.org\/wiki\/electric_field\",\"project\":\"\",\"license\":\"cc-by-sa\",\"license_terms\":\"\"},{\"type\":\"cc-attribution\",\"description\":\"Electric potential\",\"author\":\"\",\"organization\":\"Wikipedia\",\"url\":\"http:\/\/en.wikipedia.org\/wiki\/Electric_potential\",\"project\":\"\",\"license\":\"cc-by-sa\",\"license_terms\":\"\"},{\"type\":\"cc-attribution\",\"description\":\"Electric field\",\"author\":\"\",\"organization\":\"Wikipedia\",\"url\":\"http:\/\/en.wikipedia.org\/wiki\/Electric_field\",\"project\":\"\",\"license\":\"cc-by-sa\",\"license_terms\":\"\"},{\"type\":\"cc-attribution\",\"description\":\"electric potential\",\"author\":\"\",\"organization\":\"Wiktionary\",\"url\":\"http:\/\/en.wiktionary.org\/wiki\/electric_potential\",\"project\":\"\",\"license\":\"cc-by-sa\",\"license_terms\":\"\"},{\"type\":\"cc-attribution\",\"description\":\"Electric field\",\"author\":\"\",\"organization\":\"Wikipedia\",\"url\":\"http:\/\/en.wikipedia.org\/wiki\/File:Electric_field.gif\",\"project\":\"\",\"license\":\"cc-by-sa\",\"license_terms\":\"\"},{\"type\":\"cc-attribution\",\"description\":\"Voltage\",\"author\":\"\",\"organization\":\"Wikipedia\",\"url\":\"http:\/\/en.wikipedia.org\/wiki\/Voltage\",\"project\":\"\",\"license\":\"cc-by-sa\",\"license_terms\":\"\"},{\"type\":\"cc-attribution\",\"description\":\"Electric potential energy\",\"author\":\"\",\"organization\":\"Wikipedia\",\"url\":\"http:\/\/en.wikipedia.org\/wiki\/Electric_potential_energy\",\"project\":\"\",\"license\":\"cc-by-sa\",\"license_terms\":\"\"},{\"type\":\"cc-attribution\",\"description\":\"potential energy\",\"author\":\"\",\"organization\":\"Wikipedia\",\"url\":\"http:\/\/en.wikipedia.org\/wiki\/potential%20energy\",\"project\":\"\",\"license\":\"cc-by-sa\",\"license_terms\":\"\"},{\"type\":\"cc-attribution\",\"description\":\"coulomb\",\"author\":\"\",\"organization\":\"Wiktionary\",\"url\":\"http:\/\/en.wiktionary.org\/wiki\/coulomb\",\"project\":\"\",\"license\":\"cc-by-sa\",\"license_terms\":\"\"},{\"type\":\"cc-attribution\",\"description\":\"Electric field\",\"author\":\"\",\"organization\":\"Wikipedia\",\"url\":\"http:\/\/en.wikipedia.org\/wiki\/File:Electric_field.gif\",\"project\":\"\",\"license\":\"cc-by-sa\",\"license_terms\":\"\"},{\"type\":\"cc-attribution\",\"description\":\"Electrostatic definition of voltage\",\"author\":\"\",\"organization\":\"Wikipedia\",\"url\":\"http:\/\/en.wikipedia.org\/wiki\/File:Electrostatic_definition_of_voltage.svg\",\"project\":\"\",\"license\":\"cc-by-sa\",\"license_terms\":\"\"},{\"type\":\"cc-attribution\",\"description\":\"Electric Potential Difference\",\"author\":\"\",\"organization\":\"\",\"url\":\"http:\/\/www.youtube.com\/watch?v=jjwwb2yfytk\",\"project\":\"\",\"license\":\"pd\",\"license_terms\":\"Standard YouTube license\"},{\"type\":\"cc-attribution\",\"description\":\"OpenStax College, Equipotential Lines. September 17, 2013\",\"author\":\"\",\"organization\":\"OpenStax CNX\",\"url\":\"http:\/\/cnx.org\/content\/m42331\/latest\/\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"\"},{\"type\":\"cc-attribution\",\"description\":\"radial\",\"author\":\"\",\"organization\":\"Wiktionary\",\"url\":\"http:\/\/en.wiktionary.org\/wiki\/radial\",\"project\":\"\",\"license\":\"cc-by-sa\",\"license_terms\":\"\"},{\"type\":\"cc-attribution\",\"description\":\"equipotential\",\"author\":\"\",\"organization\":\"Wiktionary\",\"url\":\"http:\/\/en.wiktionary.org\/wiki\/equipotential\",\"project\":\"\",\"license\":\"cc-by-sa\",\"license_terms\":\"\"},{\"type\":\"cc-attribution\",\"description\":\"Electric field\",\"author\":\"\",\"organization\":\"Wikipedia\",\"url\":\"http:\/\/en.wikipedia.org\/wiki\/File:Electric_field.gif\",\"project\":\"\",\"license\":\"cc-by-sa\",\"license_terms\":\"\"},{\"type\":\"cc-attribution\",\"description\":\"Electrostatic definition of voltage\",\"author\":\"\",\"organization\":\"Wikipedia\",\"url\":\"http:\/\/en.wikipedia.org\/wiki\/File:Electrostatic_definition_of_voltage.svg\",\"project\":\"\",\"license\":\"cc-by-sa\",\"license_terms\":\"\"},{\"type\":\"cc-attribution\",\"description\":\"Electric Potential Difference\",\"author\":\"\",\"organization\":\"\",\"url\":\"http:\/\/www.youtube.com\/watch?v=jjwwb2yfytk\",\"project\":\"\",\"license\":\"pd\",\"license_terms\":\"Standard YouTube license\"},{\"type\":\"cc-attribution\",\"description\":\"OpenStax College, Equipotential Lines. January 4, 2013\",\"author\":\"\",\"organization\":\"OpenStax CNX\",\"url\":\"http:\/\/cnx.org\/content\/m42331\/latest\/\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"\"},{\"type\":\"cc-attribution\",\"description\":\"electric potential\",\"author\":\"\",\"organization\":\"Wiktionary\",\"url\":\"http:\/\/en.wiktionary.org\/wiki\/electric_potential\",\"project\":\"\",\"license\":\"cc-by-sa\",\"license_terms\":\"\"},{\"type\":\"cc-attribution\",\"description\":\"electric field\",\"author\":\"\",\"organization\":\"Wiktionary\",\"url\":\"http:\/\/en.wiktionary.org\/wiki\/electric_field\",\"project\":\"\",\"license\":\"cc-by-sa\",\"license_terms\":\"\"},{\"type\":\"cc-attribution\",\"description\":\"Electric potential\",\"author\":\"\",\"organization\":\"Wikipedia\",\"url\":\"http:\/\/en.wikipedia.org\/wiki\/Electric_potential\",\"project\":\"\",\"license\":\"cc-by-sa\",\"license_terms\":\"\"},{\"type\":\"cc-attribution\",\"description\":\"work\",\"author\":\"\",\"organization\":\"Wiktionary\",\"url\":\"http:\/\/en.wiktionary.org\/wiki\/work\",\"project\":\"\",\"license\":\"cc-by-sa\",\"license_terms\":\"\"},{\"type\":\"cc-attribution\",\"description\":\"Electric field\",\"author\":\"\",\"organization\":\"Wikipedia\",\"url\":\"http:\/\/en.wikipedia.org\/wiki\/File:Electric_field.gif\",\"project\":\"\",\"license\":\"cc-by-sa\",\"license_terms\":\"\"},{\"type\":\"cc-attribution\",\"description\":\"Electrostatic definition of voltage\",\"author\":\"\",\"organization\":\"Wikipedia\",\"url\":\"http:\/\/en.wikipedia.org\/wiki\/File:Electrostatic_definition_of_voltage.svg\",\"project\":\"\",\"license\":\"cc-by-sa\",\"license_terms\":\"\"},{\"type\":\"cc-attribution\",\"description\":\"Electric Potential Difference\",\"author\":\"\",\"organization\":\"\",\"url\":\"http:\/\/www.youtube.com\/watch?v=jjwwb2yfytk\",\"project\":\"\",\"license\":\"pd\",\"license_terms\":\"Standard YouTube license\"},{\"type\":\"cc-attribution\",\"description\":\"OpenStax College, Equipotential Lines. January 4, 2013\",\"author\":\"\",\"organization\":\"OpenStax CNX\",\"url\":\"http:\/\/cnx.org\/content\/m42331\/latest\/\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"\"},{\"type\":\"cc-attribution\",\"description\":\"OpenStax College, College Physics. December 28, 2012\",\"author\":\"\",\"organization\":\"OpenStax CNX\",\"url\":\"http:\/\/cnx.org\/content\/m42317\/latest\/?collection=col11406\/latest\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"\"},{\"type\":\"cc-attribution\",\"description\":\"potential difference\",\"author\":\"\",\"organization\":\"Wiktionary\",\"url\":\"http:\/\/en.wiktionary.org\/wiki\/potential_difference\",\"project\":\"\",\"license\":\"cc-by-sa\",\"license_terms\":\"\"},{\"type\":\"cc-attribution\",\"description\":\"electric field\",\"author\":\"\",\"organization\":\"Wiktionary\",\"url\":\"http:\/\/en.wiktionary.org\/wiki\/electric_field\",\"project\":\"\",\"license\":\"cc-by-sa\",\"license_terms\":\"\"},{\"type\":\"cc-attribution\",\"description\":\"Electric field\",\"author\":\"\",\"organization\":\"Wikipedia\",\"url\":\"http:\/\/en.wikipedia.org\/wiki\/Electric_field\",\"project\":\"\",\"license\":\"cc-by-sa\",\"license_terms\":\"\"},{\"type\":\"cc-attribution\",\"description\":\"OpenStax College, Electric Potential in a Uniform Electric Field. September 17, 2013\",\"author\":\"\",\"organization\":\"OpenStax CNX\",\"url\":\"http:\/\/cnx.org\/content\/m42326\/latest\/\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"\"},{\"type\":\"cc-attribution\",\"description\":\"Electric field\",\"author\":\"\",\"organization\":\"Wikipedia\",\"url\":\"http:\/\/en.wikipedia.org\/wiki\/File:Electric_field.gif\",\"project\":\"\",\"license\":\"cc-by-sa\",\"license_terms\":\"\"},{\"type\":\"cc-attribution\",\"description\":\"Electrostatic definition of voltage\",\"author\":\"\",\"organization\":\"Wikipedia\",\"url\":\"http:\/\/en.wikipedia.org\/wiki\/File:Electrostatic_definition_of_voltage.svg\",\"project\":\"\",\"license\":\"cc-by-sa\",\"license_terms\":\"\"},{\"type\":\"cc-attribution\",\"description\":\"Electric Potential Difference\",\"author\":\"\",\"organization\":\"\",\"url\":\"http:\/\/www.youtube.com\/watch?v=jjwwb2yfytk\",\"project\":\"\",\"license\":\"pd\",\"license_terms\":\"Standard YouTube license\"},{\"type\":\"cc-attribution\",\"description\":\"OpenStax College, Equipotential Lines. January 4, 2013\",\"author\":\"\",\"organization\":\"OpenStax CNX\",\"url\":\"http:\/\/cnx.org\/content\/m42331\/latest\/\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"\"},{\"type\":\"cc-attribution\",\"description\":\"OpenStax College, College Physics. December 28, 2012\",\"author\":\"\",\"organization\":\"OpenStax CNX\",\"url\":\"http:\/\/cnx.org\/content\/m42317\/latest\/?collection=col11406\/latest\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"\"},{\"type\":\"cc-attribution\",\"description\":\"OpenStax College, Electric Potential in a Uniform Electric Field. January 4, 2013\",\"author\":\"\",\"organization\":\"OpenStax CNX\",\"url\":\"http:\/\/cnx.org\/content\/m42326\/latest\/\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"\"},{\"type\":\"cc-attribution\",\"description\":\"Electric potential energy\",\"author\":\"\",\"organization\":\"Wikipedia\",\"url\":\"http:\/\/en.wikipedia.org\/wiki\/Electric_potential_energy\",\"project\":\"\",\"license\":\"cc-by-sa\",\"license_terms\":\"\"},{\"type\":\"cc-attribution\",\"description\":\"potential difference\",\"author\":\"\",\"organization\":\"Wiktionary\",\"url\":\"http:\/\/en.wiktionary.org\/wiki\/potential_difference\",\"project\":\"\",\"license\":\"cc-by-sa\",\"license_terms\":\"\"},{\"type\":\"cc-attribution\",\"description\":\"kinetic energy\",\"author\":\"\",\"organization\":\"Wikipedia\",\"url\":\"http:\/\/en.wikipedia.org\/wiki\/kinetic%20energy\",\"project\":\"\",\"license\":\"cc-by-sa\",\"license_terms\":\"\"},{\"type\":\"cc-attribution\",\"description\":\"potential energy\",\"author\":\"\",\"organization\":\"Wikipedia\",\"url\":\"http:\/\/en.wikipedia.org\/wiki\/potential%20energy\",\"project\":\"\",\"license\":\"cc-by-sa\",\"license_terms\":\"\"},{\"type\":\"cc-attribution\",\"description\":\"Electric field\",\"author\":\"\",\"organization\":\"Wikipedia\",\"url\":\"http:\/\/en.wikipedia.org\/wiki\/File:Electric_field.gif\",\"project\":\"\",\"license\":\"cc-by-sa\",\"license_terms\":\"\"},{\"type\":\"cc-attribution\",\"description\":\"Electrostatic definition of voltage\",\"author\":\"\",\"organization\":\"Wikipedia\",\"url\":\"http:\/\/en.wikipedia.org\/wiki\/File:Electrostatic_definition_of_voltage.svg\",\"project\":\"\",\"license\":\"cc-by-sa\",\"license_terms\":\"\"},{\"type\":\"cc-attribution\",\"description\":\"Electric Potential Difference\",\"author\":\"\",\"organization\":\"\",\"url\":\"http:\/\/www.youtube.com\/watch?v=jjwwb2yfytk\",\"project\":\"\",\"license\":\"pd\",\"license_terms\":\"Standard YouTube license\"},{\"type\":\"cc-attribution\",\"description\":\"OpenStax College, Equipotential Lines. January 4, 2013\",\"author\":\"\",\"organization\":\"OpenStax CNX\",\"url\":\"http:\/\/cnx.org\/content\/m42331\/latest\/\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"\"},{\"type\":\"cc-attribution\",\"description\":\"OpenStax College, College Physics. December 28, 2012\",\"author\":\"\",\"organization\":\"OpenStax CNX\",\"url\":\"http:\/\/cnx.org\/content\/m42317\/latest\/?collection=col11406\/latest\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"\"},{\"type\":\"cc-attribution\",\"description\":\"OpenStax College, Electric Potential in a Uniform Electric Field. January 4, 2013\",\"author\":\"\",\"organization\":\"OpenStax CNX\",\"url\":\"http:\/\/cnx.org\/content\/m42326\/latest\/\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"\"},{\"type\":\"cc-attribution\",\"description\":\"OpenStax College, Electric Potential Energy: Potential Difference. January 3, 2013\",\"author\":\"\",\"organization\":\"OpenStax CNX\",\"url\":\"http:\/\/cnx.org\/content\/m42324\/latest\/\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"\"},{\"type\":\"cc-attribution\",\"description\":\"potential difference\",\"author\":\"\",\"organization\":\"Wiktionary\",\"url\":\"http:\/\/en.wiktionary.org\/wiki\/potential_difference\",\"project\":\"\",\"license\":\"cc-by-sa\",\"license_terms\":\"\"},{\"type\":\"cc-attribution\",\"description\":\"Electronvolt\",\"author\":\"\",\"organization\":\"Wikipedia\",\"url\":\"http:\/\/en.wikipedia.org\/wiki\/Electronvolt\",\"project\":\"\",\"license\":\"cc-by-sa\",\"license_terms\":\"\"},{\"type\":\"cc-attribution\",\"description\":\"electron volt\",\"author\":\"\",\"organization\":\"Wiktionary\",\"url\":\"http:\/\/en.wiktionary.org\/wiki\/electron_volt\",\"project\":\"\",\"license\":\"cc-by-sa\",\"license_terms\":\"\"},{\"type\":\"cc-attribution\",\"description\":\"particle accelerator\",\"author\":\"\",\"organization\":\"Wiktionary\",\"url\":\"http:\/\/en.wiktionary.org\/wiki\/particle_accelerator\",\"project\":\"\",\"license\":\"cc-by-sa\",\"license_terms\":\"\"},{\"type\":\"cc-attribution\",\"description\":\"Electric field\",\"author\":\"\",\"organization\":\"Wikipedia\",\"url\":\"http:\/\/en.wikipedia.org\/wiki\/File:Electric_field.gif\",\"project\":\"\",\"license\":\"cc-by-sa\",\"license_terms\":\"\"},{\"type\":\"cc-attribution\",\"description\":\"Electrostatic definition of voltage\",\"author\":\"\",\"organization\":\"Wikipedia\",\"url\":\"http:\/\/en.wikipedia.org\/wiki\/File:Electrostatic_definition_of_voltage.svg\",\"project\":\"\",\"license\":\"cc-by-sa\",\"license_terms\":\"\"},{\"type\":\"cc-attribution\",\"description\":\"Electric Potential Difference\",\"author\":\"\",\"organization\":\"\",\"url\":\"http:\/\/www.youtube.com\/watch?v=jjwwb2yfytk\",\"project\":\"\",\"license\":\"pd\",\"license_terms\":\"Standard YouTube license\"},{\"type\":\"cc-attribution\",\"description\":\"OpenStax College, Equipotential Lines. January 4, 2013\",\"author\":\"\",\"organization\":\"OpenStax CNX\",\"url\":\"http:\/\/cnx.org\/content\/m42331\/latest\/\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"\"},{\"type\":\"cc-attribution\",\"description\":\"OpenStax College, College Physics. December 28, 2012\",\"author\":\"\",\"organization\":\"OpenStax CNX\",\"url\":\"http:\/\/cnx.org\/content\/m42317\/latest\/?collection=col11406\/latest\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"\"},{\"type\":\"cc-attribution\",\"description\":\"OpenStax College, Electric Potential in a Uniform Electric Field. January 4, 2013\",\"author\":\"\",\"organization\":\"OpenStax CNX\",\"url\":\"http:\/\/cnx.org\/content\/m42326\/latest\/\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"\"},{\"type\":\"cc-attribution\",\"description\":\"OpenStax College, Electric Potential Energy: Potential Difference. January 3, 2013\",\"author\":\"\",\"organization\":\"OpenStax CNX\",\"url\":\"http:\/\/cnx.org\/content\/m42324\/latest\/\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"\"},{\"type\":\"cc-attribution\",\"description\":\"\",\"author\":\"\",\"organization\":\"Wikimedia\",\"url\":\"http:\/\/upload.wikimedia.org\/wikipedia\/commons\/thumb\/7\/7f\/Colors_in_eV.svg\/605px-Colors_in_eV.svg.png\",\"project\":\"\",\"license\":\"cc-by-sa\",\"license_terms\":\"\"},{\"type\":\"cc-attribution\",\"description\":\"Electric dipole moment\",\"author\":\"\",\"organization\":\"Wikipedia\",\"url\":\"http:\/\/en.wikipedia.org\/wiki\/Electric_dipole_moment\",\"project\":\"\",\"license\":\"cc-by-sa\",\"license_terms\":\"\"},{\"type\":\"cc-attribution\",\"description\":\"torque\",\"author\":\"\",\"organization\":\"Wiktionary\",\"url\":\"http:\/\/en.wiktionary.org\/wiki\/torque\",\"project\":\"\",\"license\":\"cc-by-sa\",\"license_terms\":\"\"},{\"type\":\"cc-attribution\",\"description\":\"vector\",\"author\":\"\",\"organization\":\"Wiktionary\",\"url\":\"http:\/\/en.wiktionary.org\/wiki\/vector\",\"project\":\"\",\"license\":\"cc-by-sa\",\"license_terms\":\"\"},{\"type\":\"cc-attribution\",\"description\":\"dipole moment\",\"author\":\"\",\"organization\":\"Wiktionary\",\"url\":\"http:\/\/en.wiktionary.org\/wiki\/dipole_moment\",\"project\":\"\",\"license\":\"cc-by-sa\",\"license_terms\":\"\"},{\"type\":\"cc-attribution\",\"description\":\"Electric field\",\"author\":\"\",\"organization\":\"Wikipedia\",\"url\":\"http:\/\/en.wikipedia.org\/wiki\/File:Electric_field.gif\",\"project\":\"\",\"license\":\"cc-by-sa\",\"license_terms\":\"\"},{\"type\":\"cc-attribution\",\"description\":\"Electrostatic definition of voltage\",\"author\":\"\",\"organization\":\"Wikipedia\",\"url\":\"http:\/\/en.wikipedia.org\/wiki\/File:Electrostatic_definition_of_voltage.svg\",\"project\":\"\",\"license\":\"cc-by-sa\",\"license_terms\":\"\"},{\"type\":\"cc-attribution\",\"description\":\"Electric Potential Difference\",\"author\":\"\",\"organization\":\"\",\"url\":\"http:\/\/www.youtube.com\/watch?v=jjwwb2yfytk\",\"project\":\"\",\"license\":\"pd\",\"license_terms\":\"Standard YouTube license\"},{\"type\":\"cc-attribution\",\"description\":\"OpenStax College, Equipotential Lines. January 4, 2013\",\"author\":\"\",\"organization\":\"OpenStax CNX\",\"url\":\"http:\/\/cnx.org\/content\/m42331\/latest\/\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"\"},{\"type\":\"cc-attribution\",\"description\":\"OpenStax College, College Physics. December 28, 2012\",\"author\":\"\",\"organization\":\"OpenStax CNX\",\"url\":\"http:\/\/cnx.org\/content\/m42317\/latest\/?collection=col11406\/latest\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"\"},{\"type\":\"cc-attribution\",\"description\":\"OpenStax College, Electric Potential in a Uniform Electric Field. January 4, 2013\",\"author\":\"\",\"organization\":\"OpenStax CNX\",\"url\":\"http:\/\/cnx.org\/content\/m42326\/latest\/\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"\"},{\"type\":\"cc-attribution\",\"description\":\"OpenStax College, Electric Potential Energy: Potential Difference. January 3, 2013\",\"author\":\"\",\"organization\":\"OpenStax CNX\",\"url\":\"http:\/\/cnx.org\/content\/m42324\/latest\/\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"\"},{\"type\":\"cc-attribution\",\"description\":\"\",\"author\":\"\",\"organization\":\"Wikimedia\",\"url\":\"http:\/\/upload.wikimedia.org\/wikipedia\/commons\/thumb\/7\/7f\/Colors_in_eV.svg\/605px-Colors_in_eV.svg.png\",\"project\":\"\",\"license\":\"cc-by-sa\",\"license_terms\":\"\"},{\"type\":\"cc-attribution\",\"description\":\"Water-elpot-transparent-3D-balls\",\"author\":\"\",\"organization\":\"Wikipedia\",\"url\":\"http:\/\/en.wikipedia.org\/wiki\/File:Water-elpot-transparent-3D-balls.png\",\"project\":\"\",\"license\":\"cc-by-sa\",\"license_terms\":\"\"},{\"type\":\"cc\",\"description\":\"Curation and Revision\",\"author\":\"\",\"organization\":\"Boundless.com\",\"url\":\"\",\"project\":\"\",\"license\":\"cc-by-sa\",\"license_terms\":\"\"}]","CANDELA_OUTCOMES_GUID":"","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-1438","chapter","type-chapter","status-publish","hentry"],"part":1072,"_links":{"self":[{"href":"https:\/\/courses.lumenlearning.com\/ivytech-sci111\/wp-json\/pressbooks\/v2\/chapters\/1438","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/courses.lumenlearning.com\/ivytech-sci111\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/courses.lumenlearning.com\/ivytech-sci111\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/ivytech-sci111\/wp-json\/wp\/v2\/users\/18"}],"version-history":[{"count":3,"href":"https:\/\/courses.lumenlearning.com\/ivytech-sci111\/wp-json\/pressbooks\/v2\/chapters\/1438\/revisions"}],"predecessor-version":[{"id":1757,"href":"https:\/\/courses.lumenlearning.com\/ivytech-sci111\/wp-json\/pressbooks\/v2\/chapters\/1438\/revisions\/1757"}],"part":[{"href":"https:\/\/courses.lumenlearning.com\/ivytech-sci111\/wp-json\/pressbooks\/v2\/parts\/1072"}],"metadata":[{"href":"https:\/\/courses.lumenlearning.com\/ivytech-sci111\/wp-json\/pressbooks\/v2\/chapters\/1438\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/courses.lumenlearning.com\/ivytech-sci111\/wp-json\/wp\/v2\/media?parent=1438"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/ivytech-sci111\/wp-json\/pressbooks\/v2\/chapter-type?post=1438"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/ivytech-sci111\/wp-json\/wp\/v2\/contributor?post=1438"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/ivytech-sci111\/wp-json\/wp\/v2\/license?post=1438"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}