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Equal charges q are placed at the four corners A, B, C, D of a square of length a. The magnitude of the force on the charge at B will be

(1) $\frac{3{q}^{2}}{4\pi {\epsilon }_{0}{a}^{2}}$

(2) $\frac{4{q}^{2}}{4\pi {\epsilon }_{0}{a}^{2}}$

(3) $\left(\frac{1+2\sqrt{2}}{2}\right)\frac{{q}^{2}}{4\pi {\epsilon }_{0}{a}^{2}}$

(4) $\left(2+\frac{1}{\sqrt{2}}\right)\frac{{q}^{2}}{4\pi {\epsilon }_{0}{a}^{2}}$

PMT