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 .

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter5: Electric Charges And Fields

Section: Chapter Questions

Problem 98P: From a distance of 10 cm, a proton is projected with a speed of v=4.0106 m/s directly at a large,...

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