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There is one short electric dipole place...

There is one short electric dipole placed on a horizontal plane. A circle is drawn assuming centre of dipole as centre of circle and plane of the circle is perpendicular to the axis of electric dipole. Thế number of points on this circle where electric field intensity due to electric dipole is perpendicular to the axis of dipole.

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The circle described in this question lies on the perpendicular bisector plane of electric dipole, where electric field intensity is anti-parallel to dipole moment vector. Hence, it cannot be perpendicular to the axis so, no point exists.
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