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(D) For a third charge to be balanced at point $P$,the net electrostatic force on it must be zero,which implies that the net electric field at point $

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(D) For a third charge to be balanced at point $P$,the net electrostatic force on it must be zero,which implies that the net electric field at point $P$ must be zero.In the case of an electric dipole (two point charges of equal magnitude and opposite sign),the electric field due to the charges is given by the vector sum of the fields from each charge.For any point in space,the electric field produced by a dipole is never zero because the field vectors from the positive and negative charges do not cancel each other out at any finite distance.Therefore,there is no point $P$ in the vicinity of the dipole where the net electric field is zero,and thus a third charge cannot be balanced.

Two point charges of same magnitude and opposite sign are fixed at points $A$ and $B$. $A$ third small point charge is to be balanced at point $P$ by the electrostatic force due to these two charges. The point $P$

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