L21_a - CONDUCTORS IN ELECTROSTATIC EQUILIBRIUM (19.11)...

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CONDUCTORS IN ELECTROSTATIC EQUILIBRIUM (19.11) Properties are a result of the following: In a “good” conductor, electrons are free to move. At electrostatic equilibrium , charges MUST feel no force OR ELSE they will move until there is no force One result: charge distribution is generally NON-UNIFORM for: A charged conductor A conductor in an electric field
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PROPERTIES: ISOLATED CONDUCTOR IN ELECTROSTATIC EQUILIBRIUM 1 st : 0 = E r everywhere inside a conductor Must be true or else charges would move until 0 = E r o for conductor in external electric field, charges locate so that superposition of external E r plus E r from charges gives 0 = E r inside
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2 nd : Any NET CHARGE on conductor must be on surface can prove with Gauss’s Law o Choose Gaussian surface JUST INSIDE conductor surface because 0 = E r inside, normal component of field at Gaussian surface must be zero Because 0 n = E , must have = = Φ 0 n E dA E But Gauss’s law says 0 inside E ε q = Φ
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L21_a - CONDUCTORS IN ELECTROSTATIC EQUILIBRIUM (19.11)...

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