Write the formulas for the electric field due to an electric dipole and the magnetic field due to a current-carrying loop at a point on their respective equatorial (bisector) lines at a distance $x$.

Vedclass pdf generator app on play store
Vedclass iOS app on app store
(N/A) The electric field $\overrightarrow{E}$ due to an electric dipole with dipole moment $\overrightarrow{p_{e}}$ at a point on its equatorial line at a distance $x$ (where $x >> a$) is given by:
$\overrightarrow{E} = -\frac{\overrightarrow{p_{e}}}{4 \pi \epsilon_{0} x^{3}}$
The magnetic field $\overrightarrow{B}$ due to a current-carrying loop with magnetic moment $\overrightarrow{m}$ at a point on its axis at a distance $x$ (where $x >> R$) is given by:
$\overrightarrow{B} = \frac{\mu_{0}}{4 \pi} \frac{2\overrightarrow{m}}{x^{3}}$
Note: The equatorial field for a dipole is antiparallel to the dipole moment,while the axial field for a magnetic loop is parallel to the magnetic moment.

Explore More

Similar Questions

$A$ point dipole $\vec{p} = -p_0\hat{x}$ is kept at the origin. The potential and electric field due to this dipole on the $y$-axis at a distance $d$ are,respectively: (Take $V = 0$ at infinity)

An electric dipole is placed at the origin in the direction of the $x$-axis. $A$ point $P$ is at a distance of $20 \, cm$ from the origin $O$ such that $OP$ makes an angle of $\pi/3$ with the $x$-axis. If the electric field at point $P$ makes an angle $\theta$ with the $x$-axis,then the value of $\theta$ is:

Difficult
View Solution

The distance between the two charges $+q$ and $-q$ of a dipole is $r$. On the axial line at a distance $d$ from the centre of the dipole,the electric field intensity is proportional to:

An electric dipole of dipole moment $\vec{P}$ is placed parallel to a uniform electric field of intensity $\vec{E}$. On rotating it through $180^{\circ}$,the amount of work done is . . . . . . .

An electric dipole is formed by two equal and opposite charges $q$ with separation $d$. The charges have the same mass $m$. It is kept in a uniform electric field $E$. If it is slightly rotated from its equilibrium orientation,then its angular frequency $\omega$ is

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