Given an electric potential of 1 q V= 4 πεο r find its corresponding electric field vector. Sol. Using the concept of potential gradient, we have È = - V Since we only have, radial direction (r). Then, the del-operator will be ar By substitution, we get = -7 dr Evaluating the differential, we, get the following 1 =- *(q/ 4πεο

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter20: Electric Potential And Capacitance
Section: Chapter Questions
Problem 22P
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Given an electric potential of
V=
4 πεο Γ
find its corresponding electric field vector.
Sol.
Using the concept of potential gradient, we have
È = - V
Since we only have, radial direction (r). Then, the del-operator will be
=
ar
By substitution, we get
È = -
dr
Evaluating the differential, we, get the following
1
*(q/
4πεο
Transcribed Image Text:Given an electric potential of V= 4 πεο Γ find its corresponding electric field vector. Sol. Using the concept of potential gradient, we have È = - V Since we only have, radial direction (r). Then, the del-operator will be = ar By substitution, we get È = - dr Evaluating the differential, we, get the following 1 *(q/ 4πεο
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