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A point charge q is isolated at the centreO of a spherical uncharged conducting layer provided with a small orifice. The inside and outside radii of the layer are equal to r_(1) and r_(2) respectively. Find the amount of work done to slowly transfer the charge q from the centre O, through the orifice and to infinity. |
Answer» Solution :Because of q, charges will INDUCE on the outer and inner surface of the layer. Thoseare +q and -q RESPECTIVELY.  POTENTIAL at the centre `=(q)/(4pi in_(0)) [(1)/(r_(1)) -(1)/(r_(2))]` Work done in transferring q from centre to infinity. `intVdq=int (q)/(4pi in_(0)) [(1)/(r_(1))-(1)/(r_(2))] dq=(q^(2))/(8pi in_(0)) ((1)/(r_(1))-(1)/(r_(2)))` We can do this even by finding the difference in electric potential ENERGY of the SYSTEM. |
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