Three charge $\mathrm{Q}_{0},-\mathrm{q}$ and -q are placed at the vertices of an isosceles right an

Question

Three charge $\mathrm{Q}_{0},-\mathrm{q}$ and -q are placed at the vertices of an isosceles right angled triangle as in the figure. The net electrostatic potential energy is zero if $Q_{0}$ is equal to\

Professor PC Thomas Classes · Answer

The net potential energy $=0$ given\  $\mathrm{U}_{	ext {total }}=\frac{1}{4 \pi \varepsilon_{0}} \frac{\mathrm{q}^{2}}{\sqrt{2} \ell}-\left(\frac{1}{4 \pi \varepsilon_{0}}ight) \frac{2 \mathrm{qQ}_{0}}{\ell}=0$\