Question

find the charge densities on the inner and outer surfaces of the shell

Answer 1

hii dear

here ur answer!

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(a) Charge placed at the centre of a shell is +q. Hence, a charge of magnitude - q will be induced to the inner surface of the shell. Therefore, total charge on the inner surface of the shell is - q.

Surface charge density at the inner surface of the shell is given by the relation,

A charge of +q is induced on the outer surface of the shell.

A charge of magnitude Q is placed on the outer surface of the shell. Therefore, total charge on the outer surface of the shell is Q + q. Surface charge density at the outer surface of the shell,

(b) Yes
The electric field intensity inside a cavity is zero, even if the shell is not spherical and has any irregular shape.


Take a closed loop such that a part of it is inside the cavity along a field line while the rest is inside the conductor.

Net work done by the field in carrying a test charge over a closed loop is zero because the field inside the conductor is zero. Hence, electric field is zero, whatever is the shape.

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