ElectrostaticsHard

Question

A positive point charge Q is kept (as shown in the figure) inside a neutral conducting shell whose centre is at C. An external uniform electric field E is applied. Then :

Options

A.Force on Q due to E is zero
B.Net force on Q is zero
C.Net force acting on Q and conducting shell considered as a system is zero
D.Net force acting on the shell due to E is zero.

Solution

Force on Q due to E is QE. and not zero. Force on Q is zero due to E & electric field of induced outer charges on sphere.
Charge density on inner surface is not uniform therefore net force on charge Q is not zero.
Due to E, net force on shell is zero because net charge on shell is zero.

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