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3. The charge q is now moved a distance d from point A to point B in a uniform electric field of magnitude E. The path lies at a 45° angle to the field lines. Electric Field E B Question-4: What is the work done by the field on the charge? Show your calculation. Electrostatic Potential Energy and Potential The change in electrostatic potential energy is defined as the negative of the work done by the electrostatic force in moving a charge from point A to point B using any path consisting of a series of small increments of length As. Thus, using U as the symbol for potential energy, = AUelec UB-UA-ΣqE cos 0 As The electrical potential difference AV = VB - VA is defined as the charge in electrical potential energy Aele per unit charge AV = AU q elec I. The electric potential difference has units of Joules/Coulomb (J/C). Since a J/C is defined as one volt, the potential difference is often referred to as voltage. Using the equation above for potential energy change, and the definition of potential difference, write the equation for the potential difference as a function of E and As. Single Point Charge The simplest charge configuration is a single point charge. As you saw in Lab 2, a positive point charge q produces an electric field that points radially outward in all directions. The potential difference between any two points in space A and B can be found using calculus. The result is

3. The charge q is now moved a distance d from point A to point B in a uniform electric field of magnitude E. The path lies at a 45° angle to the field lines. Electric Field E B Question-4: What is the work done by the field on the charge? Show your calculation. Electrostatic Potential Energy and Potential The change in electrostatic potential energy is defined as the negative of the work done by the electrostatic force in moving a charge from point A to point B using any path consisting of a series of small increments of length As. Thus, using U as the symbol for potential energy, = AUelec UB-UA-ΣqE cos 0 As The electrical potential difference AV = VB - VA is defined as the charge in electrical potential energy Aele per unit charge AV = AU q elec I. The electric potential difference has units of Joules/Coulomb (J/C). Since a J/C is defined as one volt, the potential difference is often referred to as voltage. Using the equation above for potential energy change, and the definition of potential difference, write the equation for the potential difference as a function of E and As. Single Point Charge The simplest charge configuration is a single point charge. As you saw in Lab 2, a positive point charge q produces an electric field that points radially outward in all directions. The potential difference between any two points in space A and B can be found using calculus. The result is

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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3. The charge q is now moved a distance d from point A to point B in a uniform electric field of magnitude E. The path lies at a 45° angle to the field lines. Electric Field E B Question-4: What is the work done by the field on the charge? Show your calculation. Electrostatic Potential Energy and Potential The change in electrostatic potential energy is defined as the negative of the work done by the electrostatic force in moving a charge from point A to point B using any path consisting of a series of small increments of length As. Thus, using U as the symbol for potential energy, = AUelec UB-UA-ΣqE cos 0 As The electrical potential difference AV = VB - VA is defined as the charge in electrical potential energy Aele per unit charge AV = AU q elec I. The electric potential difference has units of Joules/Coulomb (J/C). Since a J/C is defined as one volt, the potential difference is often referred to as voltage. Using the equation above for potential energy change, and the definition of potential difference, write the equation for the potential difference as a function of E and As. Single Point Charge The simplest charge configuration is a single point charge. As you saw in Lab 2, a positive point charge q produces an electric field that points radially outward in all directions. The potential difference between any two points in space A and B can be found using calculus. The result is
Transcribed Image Text:3. The charge q is now moved a distance d from point A to point B in a uniform electric field of magnitude E. The path lies at a 45° angle to the field lines. Electric Field E B Question-4: What is the work done by the field on the charge? Show your calculation. Electrostatic Potential Energy and Potential The change in electrostatic potential energy is defined as the negative of the work done by the electrostatic force in moving a charge from point A to point B using any path consisting of a series of small increments of length As. Thus, using U as the symbol for potential energy, = AUelec UB-UA-ΣqE cos 0 As The electrical potential difference AV = VB - VA is defined as the charge in electrical potential energy Aele per unit charge AV = AU q elec I. The electric potential difference has units of Joules/Coulomb (J/C). Since a J/C is defined as one volt, the potential difference is often referred to as voltage. Using the equation above for potential energy change, and the definition of potential difference, write the equation for the potential difference as a function of E and As. Single Point Charge The simplest charge configuration is a single point charge. As you saw in Lab 2, a positive point charge q produces an electric field that points radially outward in all directions. The potential difference between any two points in space A and B can be found using calculus. The result is
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