lecture6 - Gausss Law (II) Examples: charged spherical...

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Gauss’s Law (II) •Examples: charged spherical shell, infinite plane, long straight wire Text sections 24.3 Practice problems: chapter 24, problems 23, 25, 29, 31, 63 Read section 24.3 carefully, including field of a line or cylinder. Gauss’s Law Gauss’s Law For a closed surface S: Net outward flux through S ο ε enclosed charge net =
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Calculating E for symmetric charge distributions Calculating E 1) Use symmetry to sketch the behaviour of E ( possible only for very symmetic distributions ) 2) Pick an imaginary “gaussian surface” S 3) Calculate the flux through S, in terms of an unknown | E | 4) Calculate the charge enclosed by S from geometry 5) Relate 3) and 4) by Gauss’s Law, solve for | E | Example: Uniformly Charged Sphere Example: ) ( constant volume unit charge a r < = = ρ Total charge Q a r + + + + + + + + + + + + + + + Find E for: i) r > a and ii) r < a E
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P a r + + + + + + + + + + + + + + + E(r) E(r) E(r) E(r) A d r r i) r > a P a r + + + + + + + + + + + + + a) (r < = r a Q E total 3 4 ο π ii) r < a
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For any spherically – symmetric charge: 2 4 ) ( ) ( r r Q r E ο πε = Where Q(r ) = charge enclosed within an
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This note was uploaded on 12/03/2009 for the course CHEMISTRY 1E03 taught by Professor Britz during the Spring '09 term at McMaster University.

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lecture6 - Gausss Law (II) Examples: charged spherical...

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