Potential energy

Question

A charge particle, having mass m and charge –q is thrown from the center of charged ring, having linear charge density $\lambda $ and radius r fixed in a stationary space, along its axis. The minimum speed v for which it will escape this isolated ring is

Moderate

Solution

Use energy conservation , $\frac{1}{2}m{v}^{2}+(-\frac{1}{4{\mathrm{\pi \epsilon}}_{0}}\frac{2\mathrm{\pi r\lambda}}{r}q)=0$

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