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Calculate potential on the axis of a ring due to charge Q uniformly distributed along the ring of radius R. |
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Answer» <P> Solution :Suppose, + Q charge uniformly distributed on the ring of radius R = a Let us take point P to be at a distance x from the centre of the ring. The charge DQ is at a distance r from the point P then, `r = sqrt(x^(2)+a^(2))` and potential at P due to dq `V=(KDQ)/(r)` Potential at P due to charge on the whole ring, `V=kint(dq)/(r)=k int(dq)/(sqrt(x^(2)+a^(2)))` `V=(k)/(sqrt(x^(2)+a^(2)))int dq=(kQ)/(sqrt(s^(2)+a^(2)))[because int dq=Q]` `:.` The net electric potential `V = (Q)/(4piin_(0)sqrt(x^(2)+a^(2)))` |
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