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A conducting sphere of radius b has a spherical cavity with its centre displaced by ‘’a’’ from centre of sphere. A point charge q is placed at the centre of cavity, ‘Q’ charge is given to conducting sphere and charge $q_{0}$ is placed at a distance c from centre $(O_{1})$ of sphere such that $O_{1}, O_{2}$ and P are collinear

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charge distribution of outer surface of conducting sphere is non uniform

Potential of conductor is $(\frac{q_{0}}{4 π \in_{0} c} + \frac{Q + q}{4 π \in_{0} b})$

Intensity of electric field at $O_{1}$ is $\frac{1}{4 π \in_{0}} \frac{q_{0}}{c^{2}}$

Charge distribution on inner surface cavity is uniform

answer is A, B, C.

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Detailed Solution

Charge distribution is uniform in inner surface and non –uniform on outer surface

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$= \frac{K (Q + q)}{b} + \frac{K (q_{0})}{c}$

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