QUESTION 6Given an electric potential of1 qV=4 πεο Γfind its corresponding electric field vector.Sol.Using the concept of potential gradient, we haveÈ = - VSince we only have, radial direction (r). Then, the del-operator will beBy substitution, we getÈ = - ?arEvaluating the differential, we, get the following1È =*(q/4πεο

SOlution: given the electric potential find the E by using the del operator

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

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

Chapter20: Electric Potential And Capacitance

Section: Chapter Questions

Problem 22P

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