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A solid spherical shell has inner radius ‘a’ and outer radius ‘2a’. atthe center of the shell is located at a point charge +Q. What must the ecess charge of the shell be in order for the charge density on the inner an outer surfaces of the shell to be exactly equal ? Please explain the sol with the help of diagram.

A solid spherical shell has inner radius ‘a’ and outer radius ‘2a’. atthe center of the shell is located at a point charge +Q. What must the ecess charge of the shell be in order for the charge density on the inner an outer surfaces of the shell to be exactly equal ? 
Please explain the sol with the help of diagram.
 

Grade:12

1 Answers

Abhishek Singh
93 Points
4 years ago
Let say  the shell carries q charge on it
due to electrostatic induction the inner radii would have -Q charge on it and the outer one Q+q
to make the charge densities equal
\frac{Q}{4\pi a^{2}} = \frac{Q+q}{4\pi(2a)^2}
qhich implies
q = 3Q

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