Four point charges are fixed at the corners of a square of side length

PHYSICS · Single correct · CBSE · Physics · Electrostatic Potential and Capacitance · Electrostatic Potential and Capacitance

Problem

Four point charges are fixed at the corners of a square of side length aa. Charges of magnitude +q+q occupy opposite corners, while charges of magnitude −q-q occupy the remaining two corners. What is the total electric potential energy of the configuration? (a) (4+2) kq2a(4+\sqrt2)\,\dfrac{kq^{2}}{a} (b) −4 kq2a-4\,\dfrac{kq^{2}}{a} (c) (2−4) kq2a(\sqrt{2}-4)\,\dfrac{kq^{2}}{a} (d) (22−8) kq2a(2\sqrt{2}-8)\,\dfrac{kq^{2}}{a}

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