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

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Given an electric potential of
1 9
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
%3D
ar
By substitution, we get
È = -î-
ar
1/4piepsilonOq/r
Evaluating the differential, we, get the following
1
È =
*(q/)
4πεο
r2
Transcribed Image Text:Given an electric potential of 1 9 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 %3D ar By substitution, we get È = -î- ar 1/4piepsilonOq/r Evaluating the differential, we, get the following 1 È = *(q/) 4πεο r2
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