Write the formula for the magnetic field due to a current-carrying loop acting as a magnetic dipole at a point on its axis,and compare it with the formula for the electric field of an electric dipole.

Vedclass pdf generator app on play store
Vedclass iOS app on app store
(N/A) The magnetic field $B$ on the axis of a circular current loop of radius $R$ at a distance $x$ from its center is given by $B = \frac{\mu_0 I R^2}{2(x^2 + R^2)^{3/2}}$.
For a point far away from the loop $(x \gg R)$,the formula simplifies to $B = \frac{\mu_0}{4\pi} \frac{2m}{x^3}$,where $m = IA$ is the magnetic dipole moment.
The electric field $E$ of an electric dipole at an axial point at distance $x$ (where $x \gg a$) is given by $E = \frac{1}{4\pi \epsilon_0} \frac{2p}{x^3}$,where $p$ is the electric dipole moment.
Comparing the two,we observe that the magnetic field of a magnetic dipole is analogous to the electric field of an electric dipole,with $\frac{\mu_0}{4\pi}$ replacing $\frac{1}{4\pi \epsilon_0}$ and the magnetic dipole moment $m$ replacing the electric dipole moment $p$.

Explore More

Similar Questions

An electron in a circular orbit of radius $0.05 \ nm$ performs $10^{16}$ revolutions per second. The magnetic moment due to this rotation of the electron is (in $A \ m^{2}$):

$A$ wire of length $L$ metre carrying a current of $I$ ampere is bent in the form of a circle. Its magnetic moment is:

An electron moves in a circular orbit with a uniform speed $v$. It produces a magnetic field $B$ at the centre of the circle. The radius of the circle is proportional to

$A$ circular loop has a radius of $5\, cm$ and it is carrying a current of $0.1\, A$. Its magnetic moment is

The magnetic dipole moment of a current loop is independent of

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