A magnet of length 0.1 m and pole strength 10^-4 A m . is kept in a magnetic field of 30 tesl

step 1 So, let's solve this question. In SI unit, your pole length is ampere per meter. Here, the pole

A magnet of length 0.1 m and pole strength 10^-4 A m . is...

A magnet of length $0.1 \mathrm{~m}$ and pole strength $10^{-4} \mathrm{~A} \mathrm{~m} .$ is kept in a magnetic field of 30 tesla at an angle of 300 . The Torque acting on it is $\times 10^{-4}$ Joule.
(a) $7.5$
(b) 3
(c) $1.5$
(d) 6

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Key Concepts

Magnetic Dipole Moment

The magnetic dipole moment is a measure of the strength and orientation of a magnet's magnetic field. It is typically determined by the product of the pole strength and the distance between the poles, and it plays a key role in defining how the magnet interacts with external magnetic fields.

Torque on a Magnetic Dipole

When a magnetic dipole is placed in an external magnetic field, it experiences a torque that tends to align it with the field. This torque is given by the equation ? = mB sin?, where m is the magnetic dipole moment, B is the magnetic field strength, and ? is the angle between the dipole moment and the applied field. This concept is central to understanding the behavior of magnets in magnetic fields.

Angular Dependence and Sine Function

The sine function in the torque formula reflects the angular dependence of the torque on the orientation of the dipole relative to the magnetic field. The torque reaches its maximum value when the dipole is perpendicular (90°) to the field, and it becomes zero when the dipole is parallel (0° or 180°) to the field. This illustrates the importance of the relative angle in determining the effectiveness of the magnetic field in exerting torque.

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