An electric dipole is placed in a non-uniform electric field. Then the electric force on the dipole depends upon

Moderate

A

orientation of the dipole moment of the dipole.
B

orientation of the dipole and the rate at which the field is changing in space.
C

dipole moment of the dipole and the rate at which the field is changing in space.
D

orientation of dipole, dipole moment and the rate at which the field is changing in space.

Solution

$If \vec{p_{x}}, \vec{p_{y}} and \vec{p_{z}}$ are the components of dipole moment and $\vec{E_{x}}, \vec{E_{y}} and \vec{E_{z}}$ are the components of electric field , then
$\vec{F_{net}} = \vec{\nabla} (\vec{p} . \vec{E}) = p_{x} \frac{\partial E_{x}}{\partial x} \hat{i} + p_{y} \frac{\partial E_{y}}{\partial y} \hat{j} + p_{z} \frac{\partial E_{z}}{\partial z} \hat{k}$

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