List-I shows four configurations, each consisting of a pair of ideal electric dipoles of moment p . The dipoles are fixed a distance 2 r apart along the x-direction. The midpoint is X. Match the resul

Question

List-I shows four configurations, each consisting of a pair of ideal electric dipoles of moment $p$ . The dipoles are fixed a distance $2 r$ apart along the x-direction. The midpoint is X. Match the resultant electric field at X with List-II.

List - I	List - II
(I)	(P) $E = 0$
(II)	(Q) $E = - \frac{p}{2 π ϵ _{0} r ^{3}} \hat{j}$
(III)	(R) $E = - \frac{p}{4 π ϵ _{0} r ^{3}} (\hat{i} - \hat{j})$
(IV)	(S) $E = \frac{p}{4 π ϵ _{0} r ^{3}} (2 \hat{i} - \hat{j})$
	(T) $E = \frac{p}{π ϵ _{0} r ^{3}} \hat{i}$

TestHub · Accepted Answer

Evaluate the vector sum of the two dipole fields at X for each orientation. Configuration I → Q and configuration II → P. Configuration III → S and configuration IV → T. Hence option C.

Physics - Electrostatics Question with Solution | TestHub

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