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

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QUESTION 2
Given an electric potential of
1 q
V=
4πεο 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
V =î
ar
By substitution, we get
È = - î-
ar
Evaluating the differential, we, get the following
1
E =
*(q/
4πεο
Transcribed Image Text:QUESTION 2 Given an electric potential of 1 q V= 4πεο 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 V =î ar By substitution, we get È = - î- ar Evaluating the differential, we, get the following 1 E = *(q/ 4πεο
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