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# lecture6 - Gauss's Law(II ple d rical she infiniteplane ll...

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Gauss’s Law (II) Examples: charged spherical shell, infinite plane, long straight wire Review: For a closed surface S: Net outward flux through S net charge enclosed by S ο ε =

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Calculating E for symmetric charge distributions Calculating E for symmetric charge distributions 1) Use symmetry to sketch the behaviour of E (possible only for very symmetric distributions) 1) Pick an imaginary “Gaussian surface” S 1) Calculate the flux through S, in terms of an unknown | E | 2) Calculate the charge enclosed by S from geometry 3) Relate 3) and 4) by Gauss’s Law, solve for | E |
Example: Uniformly-Charged Thin Sheet uniform is area unit charge = σ + + + + + + + + + + + E Gaussian surface Find E due to an infinite charged sheet

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Solution
Example: Infinite Line Charge (Long thin Wire) constant length unit charge = = λ + + + + + + + + + r L Find E at distance r from the wire

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Solution
Conductors (in Electrostatic Equilibrium) Conductors (in Electrostatic Equilibrium) 1) inside a conductor. just outside 1) Any net charge on a conductor resides on the surfac e only. 0

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lecture6 - Gauss's Law(II ple d rical she infiniteplane ll...

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