If E_{a} and E_{q} represent the electric fie | vedclass

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Question

(D) For a short electric dipole of dipole moment $p$,the electric field intensity at a point on the axial line at a distance $r$ from the centre is gi

Vedclass · Accepted Answer

$E_{a} = 2E_{q}$

Vedclass · Answer

(D) For a short electric dipole of dipole moment $p$,the electric field intensity at a point on the axial line at a distance $r$ from the centre is given by $E_{a} = \frac{1}{4\pi\epsilon_{0}} \frac{2p}{r^{3}}$.The electric field intensity at a point on the equatorial line at the same distance $r$ from the centre is given by $E_{q} = \frac{1}{4\pi\epsilon_{0}} \frac{p}{r^{3}}$.Comparing the two expressions,we get $E_{a} = 2 	imes (\frac{1}{4\pi\epsilon_{0}} \frac{p}{r^{3}}) = 2E_{q}$.Therefore,the correct relation is $E_{a} = 2E_{q}$.

Column-$I$ (Angle between $\vec{p}$ and $\vec{E}$)	Column-$II$ (Potential energy of the dipole)
$a. 180^{\circ}$	$i. -pE$
$b. 120^{\circ}$	$ii. pE$
$c. 90^{\circ}$	$iii. \frac{1}{2} pE$
	$iv. 0$

If $E_{a}$ and $E_{q}$ represent the electric field intensity due to a short dipole at a point on its axial line and on the equatorial line at the same distance $r$ from the centre of the dipole,then

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