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(A) The electric potential $V$ due to a dipole at a point is given by the formula $V = \frac{1}{4\pi\varepsilon_0} \frac{P \cos 	heta}{r^2}$,where $\

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(A) The electric potential $V$ due to a dipole at a point is given by the formula $V = \frac{1}{4\pi\varepsilon_0} \frac{P \cos 	heta}{r^2}$,where $	heta$ is the angle between the position vector of the point and the dipole moment vector $P$.For an equatorial point,the position vector is perpendicular to the dipole moment vector,so $	heta = 90^\circ$.Since $\cos 90^\circ = 0$,the electric potential $V$ at any point on the equatorial plane of a dipole is $0$.

Electric potential at an equatorial point of a small dipole with dipole moment $P$ ($r$,distance from the dipole) is

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