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Four charges of 1 mC, 2 mC, 3 mC, and – 6mC are placed one at each corner of the square of side 1m. The square lies in the x-y plane with its centre at the origin.

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The electric potential is zero at the origin.

The electric potential is zero everywhere along the z-axis for any orientation of the square in the x-y plane.

The electric potential is not zero along the z-axis except at the origin

The electric potential is zero everywhere along the x-axis only of the sides of the square are parallel to x and y axis.

answer is A, C.

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Detailed Solution

Let distance from origin to vertices be ‘d’ .

Electric potential at origin: $V_{O} = \frac{2 mC}{4 {πε}_{0} d} + \frac{3 mC}{4 {πε}_{0} d} + \frac{1 mC}{4 {πε}_{0} d} - \frac{6 mC}{4 {πε}_{0} d} = 0$

Similarly, potential at every point on z-axis must be zero.

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