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Q. The electric field strength at a distance $r$ from the centre of a charged sphere of radius $r$ is $E$. If $r > R$, how much work will be done in bringing a test charge $q_{0}$ from infinity to that point?

Electrostatic Potential and Capacitance

Solution:

$E=\frac{V}{r}$
or $V=r E, U=q_{0} V=q_{0} r E$