Given an electric potential of V= 4 TEO r find its corresponding electric field vector. Sol, Using the concept of potential gradient, we have È = - Since we only have, radial direction (r). Then, the del-operator will be

Given an electric potential of V= 4 TEO r find its corresponding electric field vector. Sol, Using the concept of potential gradient, we have È = - Since we only have, radial direction (r). Then, the del-operator will be

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

Chapter1: Introduction And Vectors

Section1.9: Components Of A Vector And Unit Vectors

Problem 1.8QQ: If A + B = 0, the corresponding components of the two vectors Aand Bmust be (a) equal, (b) positive,...

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Question

Given an electric potential of
1
V =
4 πεο Γ
find its corresponding electric field vector.
Sol.
Using the concept of potential gradient, we have
È = -
Since we only have, radial direction (r). Then, the del-operator will be
dr
By substitution, we get

By substitution, we get
È = -1
É =
Evaluating the differential, we, get the following
*(a/
4 πεο

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