All Problems

Electric Capacitance, Energy of an Electric Field

Problem 3.138

A spherical shell of radius R1R_{1} with a uniform charge qq has a point charge q0q_{0} at its centre. Find the work performed by the electric forces during the shell expansion from radius R1R_{1} to radius R2R_{2}

Reveal Answer
A=q(q0+q/2)4πε0(1R11R2)A=\frac{q\left(q_{0}+q / 2\right)}{4 \pi \varepsilon_{0}}\left(\frac{1}{R_{1}}-\frac{1}{R_{2}}\right)