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  • A spherical conducting shell of inner radius r_ 1 and outer radius r _2 has a charge Q. A charge q is placed at the centre of the shell. What is the surface charge density on the inner and outer surfaces of the shell?

2.15  A spherical conducting shell of inner radius r1 and outer radius r2 has a charge Q.

(a) A charge q is placed at the centre of the shell. What is the surface charge density on the inner and outer surfaces of the shell?

Answers (1)

best_answer

The charge placed on the centre is q, so -q will be the charge induced in the inner shell and + q will be induced in the outer shell 

So,

Charge density on the inner shell

\sigma_{inner}=\frac{-q}{4\pi r_1^2}

Charge Density on the outer shell

\sigma_{outer}=\frac{Q+q}{4\pi r_2^2}

Posted by

Pankaj Sanodiya

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