A point charge `q` is located at the centre `O` of a spherical uncharged coducting layer provided with small orifice. The inside and outside radii of the layer are equal to a and `b` respectively. The amount of work that has to be performed to slowly transfer the charge `q` from teh point `O` through the orifice and into infinity is

A point charge `q` is located at the centre `O` of a spherical uncharg

1.	A point charge `q` is located at the centre `O` of a spherical uncharged coducting layer provided with small orifice. The inside and outside radii of the layer are equal to a and `b` respectively. The amount of work that has to be performed to slowly transfer the charge `q` from teh point `O` through the orifice and into infinity is
Answer» Correct Answer - `(q^2)/(8 pi epsilon_0) ((1)/a - (1)/b)` Potential at center O due to induced charges is `V_1 = - q/(4 pi epsilon_0 a) + q/(4 pi epsilon_0 b)` `V_(oo)=0` small work done to transfer a small charge dq from center to infinity is `d W = d q (V_oo - V_1) = (1)/(4 pi epsilon_0) [(1)/a - (1)/b] q d q` or `W = int d W = (q^2)/(8 pi epsilon_0) [(1)/a - (1)/b]`.

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