1.

Two conducting, concentric, hollow spheres A and B have radii a and b respectively, with A inside B. Their common potential is V. A is now given some charge such that its potential becomes zero. The potential of B will now be(a) 0 (b) V(1 - a/b) (c) Va/b (d) V(b - a)/(b + a)

Answer»

Correct Answer is: (b) V (1 - a/b)

Let initial charge on B be Q. Then, V = kQ/b. There is no initial charge on A, as A and B are at the same potential. Let q charge be now given to A. Potential of A now is

k q/a + k Q/b = 0 or q = - Qa/b.

Potential of B now is

k(Q + q/b) = k/b [Q - Qa/b] = k Q/b (1 - a/b) = V (1 - a/b)



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