Introduction to Electrodynamics
Introduction to Electrodynamics
4th Edition
ISBN: 9781108420419
Author: David J. Griffiths
Publisher: Cambridge University Press
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Chapter 1.6, Problem 1.50P

(a) Let F 1 = x 2 z ^ and F 2 = x x ^ + y y ^ + z z ^ . Calculate the divergence and curl of F1 and F2. Which one can be written as the gradient of a scalar? Find a scalar potential that does the job. Which one can be written as the curl of a vector? Find a suitable vector potential.
(b) Show that F 3 = y z x ^ + z x y ^ + x y z ^ can be written both as the gradient of a scalar and as the curl of a vector. Find scalar and vector potentials for this function.

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Introduction to Electrodynamics

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