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Question

Physics Question on Current Density

A spherical conducting shell of inner radius r₁ and outer radius r₂ has a charge Q. A charge q is placed at the centre of the shell. The surface charge density on outer surface of the shell is:

A

Q+q4πr22\frac{Q+q}{4πr_2^2}

B

Qq4πr22\frac{Q-q}{4πr_2^2}

C

Q+q4π(r22r12)\frac{Q+q}{4π(r_2^2-r_1^2)}

D

Qq4π(r22r12)\frac{Q-q}{4π(r_2^2-r_1^2)}

Answer

Q+q4πr22\frac{Q+q}{4πr_2^2}

Explanation

Solution

The correct option is (A):

Q+q4πr22\frac{Q+q}{4πr_2^2}