Using Dirac delta functions in the appropriate coordinates, express the following charge distributions as three-dimensional charge densities

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Using Dirac delta functions in the appropriate coordinates, express the following charge distributions as three-dimensional charge densities p(x).

(a) In spherical coordinates, a charge Q uniformly distributed over a spherical shell of radius R.

(b) In cylindrical coordinates, a charge Л per unit length uniformly distributed over a cylindrical surface of radius b.

(c) In cylindrical coordinates, a charge Q spread uniformly over a flat circular disc of negligible thickness and radius R.

(d) The same as part (c), but using spherical coordinates.

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Classical Electrodynamics

ISBN: 978-0471309321

3rd Edition

Authors: John David Jackson

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Question Posted: Sep 08, 2011 08:37 AM

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Using Dirac delta functions in the appropriate coordinates, express the following charge distributions as three-dimensional charge densities

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a The charge density will be of the form r R The delta function ins...View the full answer

Classical Electrodynamics

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