The couple acting on a magnet of length 10 cm and pole strength 15 Am, kept in u field of B=2 ×

Name: Problem 21, Chapter 28: Arihant AIEEE Physics
Uploaded: 2021-09-09T07:00:23-08:00
Duration: 1 min 7 s
Channel: Ajay Singhal
Description: The couple acting on a magnet of length 10 cm and pole strength 15 Am, kept in u field of B=2 ×10^-5 T at an angle of 30^∘ is: (a) 1.5 ×10^-5 Nm (b) 1.5 ×10^-3 Nm (c) 1.5 ×10^-2 Nm (d) 1.5 ×10^-6 Nm

step 1 students in this question we have to calculate the couple acting that is a torque on the magnet

Question

The couple acting on a magnet of length $10 \mathrm{~cm}$ and pole strength $15 \mathrm{Am}$, kept in $u$ field of $B=2 \times 10^{-5} \mathrm{~T}$ at an angle of $30^{\circ}$ is: (a) $1.5 \times 10^{-5} \mathrm{Nm}$ (b) $1.5 \times 10^{-3} \mathrm{Nm}$ (c) $1.5 \times 10^{-2} \mathrm{Nm}$ (d) $1.5 \times 10^{-6} \mathrm{Nm}$

   The couple acting on a magnet of length $10 \mathrm{~cm}$ and pole strength $15 \mathrm{Am}$, kept in $u$ field of $B=2 \times 10^{-5} \mathrm{~T}$ at an angle of $30^{\circ}$ is:
(a) $1.5 \times 10^{-5} \mathrm{Nm}$
(b) $1.5 \times 10^{-3} \mathrm{Nm}$
(c) $1.5 \times 10^{-2} \mathrm{Nm}$
(d) $1.5 \times 10^{-6} \mathrm{Nm}$

Arihant AIEEE Physics

D.B. Singh 2006 Edition

Chapter 28, Problem 21

Instant Answer

Solved by Expert Ajay Singhal

09/09/2021

Step 1

Step 1: The torque acting on a magnet in a magnetic field is given by the formula: \[ \tau = m B \sin \theta \] where $ m $ is the magnetic moment of the magnet, $ B $ is the magnetic field strength, and $ \theta $ is the angle between the magnetic moment and Show more…

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The couple acting on a magnet of length $10 \mathrm{~cm}$ and pole strength $15 \mathrm{Am}$, kept in $u$ field of $B=2 \times 10^{-5} \mathrm{~T}$ at an angle of $30^{\circ}$ is: (a) $1.5 \times 10^{-5} \mathrm{Nm}$ (b) $1.5 \times 10^{-3} \mathrm{Nm}$ (c) $1.5 \times 10^{-2} \mathrm{Nm}$ (d) $1.5 \times 10^{-6} \mathrm{Nm}$

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Key Concepts

Magnetic Dipole Moment

The magnetic dipole moment quantifies the overall strength and orientation of a magnet. It is commonly defined as the product of the magnetic pole strength and the separation distance between the poles. This concept is fundamental in understanding how magnets interact with external magnetic fields, including the generation of torque.

Torque on a Magnetic Dipole

When a magnetic dipole is placed in a uniform magnetic field, it experiences a torque that acts to align the dipole with the field. The magnitude of this torque is determined by the product of the magnetic dipole moment, the magnetic field strength, and the sine of the angle between the dipole moment and the field direction. This relationship is key to analyzing the rotational effects and stability of magnetic systems.

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