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zorro
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Homework Statement
A point charge q is located at the centre O of a spherical uncharged conducting layer provided witha small orifice as shown in figure. The inside and outside radii of the layer are equal to a and b resp. What amount of work has to be performed to slowly transfer a charge q from the point O to infinity throught the orifice?
The Attempt at a Solution
The point charge induces a negative charge (-q) on inner surface and an equal positive charge (q) on outer surface.
We can calculate the potential at point O.
V1 = -kq/a + kq/b
taking potential at infinity as 0,
V2=0
Now work done = ( V2 - V1 )q
W = kq2(1/a - 1/b)
The answer given is slightly different. There is an additional 2 in the denominator.
Any help appreciated.