Given an electric potential of 1 q V= 4πεο 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 dr By substitution, we get Ê = - - ar Evaluating the differential, we, get the following È = %3D *(a/ 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
1 q
V=
4πεο r
find its corresponding electric field vector.
Sl.
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
E = - î
dr
Evaluating the differential, we, get the following
1
È =
*(q/
4πεο
Transcribed Image Text:Given an electric potential of 1 q V= 4πεο r find its corresponding electric field vector. Sl. 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 E = - î dr Evaluating the differential, we, get the following 1 È = *(q/ 4πεο
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