Given an electric potential of 1 V= 4 περ Γ find its corresponding electric field vector.

University Physics Volume 2
18th Edition
ISBN:9781938168161
Author:OpenStax
Publisher:OpenStax
Chapter7: Electric Potential
Section: Chapter Questions
Problem 72P: The practical limit to all electric field in air is about 3.00106 N/C. Above this strength, sparking...
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Given an electric potential of
1
V=
4 περ Γ
find its corresponding electric field vector.
Sol.
Using the concept of potential gradient, we have
Ê = - V
Since we only have, radial direction (r). Then, the del-
operator will be
V=7-
ar
By substitution, we get
ar
Evaluating the differential, we, get the following
1
È =
*(q/)
4πεο
Transcribed Image Text:Given an electric potential of 1 V= 4 περ Γ find its corresponding electric field vector. Sol. Using the concept of potential gradient, we have Ê = - V Since we only have, radial direction (r). Then, the del- operator will be V=7- ar By substitution, we get ar Evaluating the differential, we, get the following 1 È = *(q/) 4πεο
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