Q23 of 33 Page 14

Calculate potential on the axis of a ring due to charge Q uniformly distributed along the ring of radius R.

suppose we take a circular ring of width de and radius r, the charge enclosed with in that area

is the charge density per unit area



the potential due to this dQ at point P at a distance d from the centre of the disc on the axis of the disc is






now substitute the value of



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Prove that, if an insulated, uncharged conductor is placed near a charged conductor and no other conductors are present, the uncharged body must be intermediate in potential between that of the charged body and that of infinity.

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Calculate potential energy of a point charge –q placed along the axis due to a charge +Q uniformly distributed along a ring of radius R. Sketch P.E. as a function of axial distance z from the centre of the ring. Looking at graph, can you see what would happen if -q is displaced slightly from the centre of the ring (along the axis)?

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Find the equation of the equipotential for an infinite cylinder of radius r0, carrying charge of linear density λ.

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