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Calculate potential on the axis of a rin...

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

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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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