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CHARGE DISTRIBUTION ON A CONDUCTOR SURFA...

CHARGE DISTRIBUTION ON A CONDUCTOR SURFACE (UNIQUENESS THEOREM)

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The surface of a conductor -

A spherical metallic conductor has a spherical cavity. A positive charge is placed inside the cavity at its centre. Another positive charge is placed outside it. The conductor is initially electrically neutral. {:(,"Column I (Cause)",,,"Column II (Effect)"),((A),"If outside is shifted to other position",,(p),"Distribution of charge on innner surface"),(,,,,"of cavity charges"),((B),"If inside charge is shifted to other position",,(q),"Distribution of charge on outer surface of"),(,,,,"conductor charges"),((C),"If magnitude of charge inside cavity is",,(r),"Electric potential at the centre of conductor"),(,"increased",,,"changes due to charges present"),(,,,,"on outer surface of conductor"),((D),"If conductor is earthed",,(s),"Force on the charge placed inside"),(,,,,"cavity changes"):}

Across the surface of a charged conductor

A : Gauss theorem is applicable on any closed surface. R : In order to find the value of electric field due to a charge distribution, Gauss' theorem should be applid on a symmetrical closed surface.

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Theorem 5 (distributive Laws)