Question

Two concentric conducting spheres are of radii r1 and r2 .The outer sphere is given charge q.The charge q' on the inner sphere will be

Answer 1

Answer:

q' = r1/r2 q

Explanation:

According to the problem the radius of the inner sphere is r1 and of outer sphere is r2  

It is given that the charge on the outer sphere is q  

Let the inner sphere will be q'  

Now, if q' is earthed, then the charge will be induced to -q'  in inner surface of the outer sphere  

and also this charge will be induced to  +q' on outer surface.  

Net charge on outer sphere is q.  

Now as the potential charge of the inner sphere is zero as it is earthed,  

Therefore,  

q'/4πe0r1 + q/4πe0r2 = 0  

q' = r1/r2 q

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