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point charge on axis of disk charge.. Charge is uniformly distributed over the surface of a...

point charge on axis of disk charge.. Charge is uniformly distributed over the surface of a circle of radius a with a uniform surface density sigma c = sigma 0 .

a) what is the total charge on the circle ?

b) Find the force produced by the disk charge on a point charge located on the z axis. ( the integral should be carried out without help of a computer or integral table )

c) Take the limit of your result assuming Z << a .

d) If Z >>a the result reduces to the same expression as the force between two point charge. Explain why this physically makes sens.

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