Shown in the figure is a shell made of a conductor. It has inner radius a and outer radius b, and carries charge Q. At its centre is a dipole $\overrightarrow P $ as shown. In this case :

Question

surface charge density on the inner surface is uniform and equal to ${{\left( {Q/2} \right)} \over {4\pi {a^2}}}$

surface charge density on the inner surface of the shell is zero everywhere

surface charge density on the outer surface depends on $\left| {\overrightarrow P } \right|$

electric field outside the shell is the same as that of a point charge at the centre of the shell

Solution

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