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lecture6 - Gausss 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 surfaceS: 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 chargeenclosed by S from geometry 3) Relate3) and 4) by Gauss’s Law, solve for | E |
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Example: Uniformly-Charged Thin Sheet 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
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Example: InfiniteLineCharge (Long thin Wire) Example: InfiniteLineCharge (Long thin Wire) constant length unit charge = = λ + + + + + + + + + r L Find E at distance r from the wire
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Solution
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Conductors (in Electrostatic Equilibrium) Conductors (in Electrostatic Equilibrium) 1) inside a conductor.
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