Lecture6 - G a usss La w(I I E xampl es char ged spher i cal shel l i nfi ni te pl ane l ong str ai ght wi r e Revi ew For a cl osed sur face S net

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Gauss’s Law (I I ) 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 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 |
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Example: Uniformly-Charged Thin Sheet uniform is area unit charge = σ + + + + + + + + + + + E Gaussia n surface Find E due to an infinite charged sheet
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Solution
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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
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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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This note was uploaded on 01/23/2011 for the course ENG 1D04 taught by Professor Done during the Spring '08 term at McMaster University.

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Lecture6 - G a usss La w(I I E xampl es char ged spher i cal shel l i nfi ni te pl ane l ong str ai ght wi r e Revi ew For a cl osed sur face S net

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