List of top Physics Questions on The Magnetic Dipole Moment

A circular coil of 100 turns and radius \( \left(\frac{10}{\sqrt{\pi}}\right) \, \text{cm}\) carrying current of \( 5.0 \, \text{A} \) is suspended vertically in a uniform horizontal magnetic field of \( 2.0 \, \text{T} \). The field makes an angle \( 30^\circ \) with the normal to the coil. Calculate:
the magnetic dipole moment of the coil, and
the magnitude of the counter torque that must be applied to prevent the coil from turning.

A rectangular loop of sides \( a \) and \( b \) carrying current \( I \) is placed in a magnetic field \( \vec{B} \) such that its area vector \( \vec{A} \) makes an angle \( \theta \) with \( \vec{B} \). With the help of a suitable diagram, show that the torque \( \vec{\tau} \) acting on the loop is given by \( \vec{\tau} = \vec{m} \times \vec{B} \), where \( \vec{m} (= I \vec{A}) \) is the magnetic dipole moment of the loop.

Match List I with List II

	LIST I		LIST II
A.	Magnetic dipole moment	I.	Weber/$m^2$
B.	Magnetic permeability	II.	Am (Ampere m)
C.	Pole strength	III.	Henry/m
D.	Magnetic flux density	IV.	$Am^2$ (Ampere $m^2$)

Choose the correct answer from the options given below:

Following figures show the arrangement of bar magnets in different configurations. Each magnet has magnetic dipole moment \(\overrightarrow{m}\). Which configuration has highest net magnètic dipole moment?

A bar magnet of length I and magnetic dipole moment M is bent in the form of an arc as shown in figure. The new magnetic dipole moment will be