Explain the force acting on an electric dipole when it is placed parallel or anti-parallel to a non-uniform electric field.

Vedclass pdf generator app on play store
Vedclass iOS app on app store
(N/A) When an electric dipole with dipole moment $\vec{p}$ is placed in a non-uniform electric field $\vec{E}$,it experiences a net force.
$1$. When $\vec{p}$ is parallel to $\vec{E}$: The positive charge $q$ experiences a force $q\vec{E}$ in the direction of the field,and the negative charge $-q$ experiences a force $-q\vec{E}$ in the opposite direction. Since the field is non-uniform and stronger at the position of the positive charge,the net force on the dipole is in the direction of the increasing electric field.
$2$. When $\vec{p}$ is anti-parallel to $\vec{E}$: The positive charge $q$ experiences a force $q\vec{E}$ in the direction of the field,and the negative charge $-q$ experiences a force $-q\vec{E}$ in the opposite direction. Since the field is stronger at the position of the negative charge,the net force on the dipole is in the direction of the decreasing electric field.
In both cases,the net torque on the dipole is zero because the forces are collinear with the dipole axis,but a net translational force exists due to the non-uniformity of the field.

Explore More

Similar Questions

$A$ small electric dipole $\vec{p}_0$,having a moment of inertia $I$ about its center,is kept at a distance $r$ from the center of a spherical shell of radius $R$. The surface charge density $\sigma$ is uniformly distributed on the spherical shell. The dipole is initially oriented at a small angle $\theta$ as shown in the figure. While staying at a distance $r$,the dipole is free to rotate about its center. If released from rest,then which of the following statement$(s)$ is (are) correct? [$\varepsilon_0$ is the permittivity of free space.]
$(A)$ The dipole will undergo small oscillations at any finite value of $r$.
$(B)$ The dipole will undergo small oscillations at any finite value of $r > R$.
$(C)$ The dipole will undergo small oscillations with an angular frequency of $\sqrt{\frac{\sigma p_0}{4 \varepsilon_0 I}}$ at $r = 2R$.
$(D)$ The dipole will undergo small oscillations with an angular frequency of $\sqrt{\frac{\sigma p_0}{100 \varepsilon_0 I}}$ at $r = 10R$.

An electric dipole with dipole moment $\vec{p} = \frac{p_0}{\sqrt{2}}(\hat{i}+\hat{j})$ is held fixed at the origin $O$ in the presence of a uniform electric field $\vec{E} = E_0 \hat{i}$. If the potential is constant on a circle of radius $R$ centered at the origin as shown in the figure,then the correct statement$(s)$ is/are:
($\varepsilon_0$ is the permittivity of free space,$R \gg$ dipole size)
$(1)$ $R = \left(\frac{p_0}{4 \pi \varepsilon_0 E_0}\right)^{1/3}$
$(2)$ The magnitude of the total electric field on any two points of the circle will be the same.
$(3)$ The total electric field at point $A$ is $\vec{E}_A = \sqrt{2} E_0(\hat{i}+\hat{j})$
$(4)$ The total electric field at point $B$ is $\vec{E}_B = 0$

Two charges $+q$ and $-q$ are placed at a distance $b$ apart as shown in the figure. The electric field at a point $P$ on the perpendicular bisector as shown is

Intensity of an electric field $E$ due to a dipole,depends on distance $r$ as

Point $P$ lies on the axis of a dipole. If the dipole is rotated by $90^o$ anticlockwise,the electric field vector $\vec{E}$ at $P$ will rotate by

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial
For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free
For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo