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  4. The electric field intensity vecE, due to an electric dipole of moment vecp, at a point on the equatorial line is

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Q. The electric field intensity $\vec{E}$, due to an electric dipole of moment $\vec{p}$, at a point on the equatorial line is

VITEEEVITEEE 2007

Solution:

Consider an electric dipole consisting of two point charges $-q$ and $+q$ separated by a small distance $A B=2 \,a$ with centre at $O$,
As shown in figure, on equatorial line, the resultant electric field $\vec{ E }$ of $\vec{ E }_{1}$ and $\vec{ E }_{2}$ is parallel to the axis of the dipole but opposite
image
to the direction of the dipole moment $\vec{ p }$ as it is directed from negative charge to positive charge.