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19.3 Electrical Potential Due to a Point Charge Point charges, such as electrons, are among the fundamental building blocks of matter. Furthermore, spherical charge distributions (like on a metal sphere) create external electric fields exactly like a point charge. The electric potential due to a point charge is, thus, a case we need to consider. Using calculus to find the work needed to move a test charge q from a large distance away to a distance of r from a point charge Q, and noting the connection between work and potential (W = - qAV), it can be shown that the electric potential V of a point charge is (19.37) V = (Point Charge), kQ where k is a constant equal to 9.0x10° N · m²/C² .

19.3 Electrical Potential Due to a Point Charge Point charges, such as electrons, are among the fundamental building blocks of matter. Furthermore, spherical charge distributions (like on a metal sphere) create external electric fields exactly like a point charge. The electric potential due to a point charge is, thus, a case we need to consider. Using calculus to find the work needed to move a test charge q from a large distance away to a distance of r from a point charge Q, and noting the connection between work and potential (W = - qAV), it can be shown that the electric potential V of a point charge is (19.37) V = (Point Charge), kQ where k is a constant equal to 9.0x10° N · m²/C² .

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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Electrical Potential Due to a Point Charge
• Explain point charges and express the equation for electric potential of a point charge.
• Distinguish between electric potential and electric field.
• Determine the electric potential of a point charge given charge and distance.

19.3 Electrical Potential Due to a Point Charge Point charges, such as electrons, are among the fundamental building blocks of matter. Furthermore, spherical charge distributions (like on a metal sphere) create external electric fields exactly like a point charge. The electric potential due to a point charge is, thus, a case we need to consider. Using calculus to find the work needed to move a test charge q from a large distance away to a distance of r from a point charge Q, and noting the connection between work and potential (W = - qAV), it can be shown that the electric potential V of a point charge is (19.37) V = (Point Charge), kQ where k is a constant equal to 9.0x10° N · m²/C² .
Transcribed Image Text:19.3 Electrical Potential Due to a Point Charge Point charges, such as electrons, are among the fundamental building blocks of matter. Furthermore, spherical charge distributions (like on a metal sphere) create external electric fields exactly like a point charge. The electric potential due to a point charge is, thus, a case we need to consider. Using calculus to find the work needed to move a test charge q from a large distance away to a distance of r from a point charge Q, and noting the connection between work and potential (W = - qAV), it can be shown that the electric potential V of a point charge is (19.37) V = (Point Charge), kQ where k is a constant equal to 9.0x10° N · m²/C² .
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