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Q.

A ring of radius R has charge -Q distributed uniformly over it. Calculate the charge (q) that should be placed at the center of the ring such that the electric field becomes zero at a point on the axis of the ring distant R from the center of the ring. The value of q is (Q4)N. Find the value of N?

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answer is 2.

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Detailed Solution

Electric field at point P due to charge of ring isE=kQxR2+x23/2At x=R, E=kQ22R2 directed toward the center.Electric field at P due to center charge is kq/R2.For net field to be zero at PkqR2=kQ22R2  or q=Q22=Q42
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