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Q. A charge +q is fixed to each of three corners of a square/ On the empty corner a charge Q is placed such that there is no net electrostatic force acting on the diagonally opposite charge.Then

Electrostatic Potential and Capacitance

Solution:

$\frac{1}{4 \pi \varepsilon_{0}} \sqrt{2} \frac{q^{2}}{a^{2}}+\frac{1}{4 \pi \varepsilon_{0}} \frac{Q q}{(\sqrt{2 q})^{2}}=0$