Calculate the electric potential at point $P$ on the $y -$ axis.

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V = \frac{q}{4 π ϵ_{o} \sqrt{a^{2} + y^{2}}}

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V = \frac{2 q}{4 π ϵ_{o} \sqrt{a^{2} + y^{2}}}

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V = \frac{q}{4 π ϵ_{o} \sqrt{y^{2} - a^{2}}}

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Solution

The correct option is A $0$
Electric potential is a scalar quantity. It depends on the magnitude of source charge and the distance. Since the magnitude of charge is same in both the charges, the potential cancels out at each point on the y axis due to same distance from the charges.
Electric potential is zero at point P.

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Calculate the electric potential at point P on the y−axis.

Calculate the electric potential at point $P$ on the $y -$ axis.