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 Ê = - V Since we only have, radial direction (r). Then, the del-operator will be = î- ar By substitution, we get È = -î- ar Evaluating the differential, we, get the following 1 =. *(q/ %D 4πεο 1D
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 Ê = - V Since we only have, radial direction (r). Then, the del-operator will be = î- ar By substitution, we get È = -î- ar Evaluating the differential, we, get the following 1 =. *(q/ %D 4πεο 1D
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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![QUESTION 6
Given an electric potential of
1 q
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
By substitution, we get
È = - ?
ar
Evaluating the differential, we, get the following
1
È =
*(q/
4πεο](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3fd9877c-055f-41e5-8b1e-d8387bbe2ed9%2F470bbe37-53c1-4cb1-88f0-3136869a4a60%2F8ugl2iss_processed.png&w=3840&q=75)
Transcribed Image Text:QUESTION 6
Given an electric potential of
1 q
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
By substitution, we get
È = - ?
ar
Evaluating the differential, we, get the following
1
È =
*(q/
4πεο
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