a hollow charged conductor has a tiny hole cut into its surface . show that electric field in the hole = sigma/2(epsilon zero) . sigma = surface charge density near holes .
MIT 8.02 Electricity and Magnetism, Spring 2002
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what shape is the conductor?
E field is sigma by epsilon zero outside and zero inside.so in between it is half of it.
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I may visualise the problem as|dw:1336051541241:dw|
this problem now may be seen as an infinite charged conducting plane and we know that the electric field in the vicinity of such a system does not depend on the distance from the syatem and so we can use the formula electric field in the hole = sigma/2(epsilon zero)