Question

A circular ring carries a uniformly distributed positive charge and lies in X-Y plane with centre at origin of coordinate system. If at a point (0,0, z), the potential is V, then which of the following graphs Fig is correct ?

Moderate

Solution

potential $V = \frac{1}{4 {πε}_{0}} \times \frac{q}{\sqrt{(R^{2} + z^{2})}}$
For z = 0,V = V_max. As ring is positively charged, hence the potential can never be negative. As z increases on both sides, the potential decreases.

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