A small bar magnet of moment M is placed in a uniform field of H. If magnet makes an angle of 30

Name: Problem 1965, Chapter 13: JEE Physics
Uploaded: 2022-01-14T15:21:07-08:00
Duration: 1 min 1 s
Channel: Narayan Hari
Description: A small bar magnet of moment M is placed in a uniform field of H. If magnet makes an angle of 30^∘ with field, the torque acting on the magnet is (a) MH (b) (MH / 2) (c) (MH / 3) (d) (MH / 4)

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A small bar magnet of moment M is placed in a uniform field...

A small bar magnet of moment $\mathrm{M}$ is placed in a uniform field of $\mathrm{H}$. If magnet makes an angle of $30^{\circ}$ with field, the torque acting on the magnet is
(a) $\mathrm{MH}$
(b) $(\mathrm{MH} / 2)$
(c) $(\mathrm{MH} / 3)$
(d) $(\mathrm{MH} / 4)$

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Key Concepts

Torque on a Magnetic Dipole

The torque experienced by a magnetic dipole in a magnetic field is given by the cross product of the magnetic moment and the magnetic field, with magnitude equal to the product of their magnitudes and the sine of the angle between them. This relationship explains how the magnetic dipole tends to align itself with the magnetic field, with the torque being maximal when the dipole is perpendicular to the field and zero when parallel.

Magnetic Dipole Moment

The magnetic dipole moment is a measure of the strength and orientation of a magnet, representing the inherent magnetic characteristics of the magnet. It is a vector quantity, and its interaction with a magnetic field determines the behavior of the magnet in that field.

Magnetic Field

A magnetic field is a region of space characterized by magnetic forces. In a uniform magnetic field, the field strength is constant in magnitude and direction, which simplifies the analysis of interactions with magnetic dipoles.

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