(D) Given: Torque $\tau = 0.016 \ Nm$, angle $\theta = 30^{\circ}$, and magnetic field $B = 0.04 \ T$.The torque on a magnetic dipole is given by $\ta

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

(D) Given: Torque $\tau = 0.016 \ Nm$, angle $\theta = 30^{\circ}$, and magnetic field $B = 0.04 \ T$.The torque on a magnetic dipole is given by $\tau = mB \sin \theta$.Substituting the values: $0.016 = m \times 0.04 \times \sin 30^{\circ}$.Since $\sin 30^{\circ} = 0.5$, we have $0.016 = m \times 0.04 \times 0.5 = m \times 0.02$.Thus, the magnetic moment $m = \frac{0.016}{0.02} = 0.8 \ Am^2$.For a solenoid, the magnetic moment is $m = NIA$.Given: Area $A = 1 \ cm^2 = 10^{-4} \ m^2$ and number of turns $N = 1000$.Equating the magnetic moments: $0.8 = 1000 \times I \times 10^{-4}$.$0.8 = 0.1 \times I$.Therefore, the current $I = \frac{0.8}{0.1} = 8 \ A$.

Class 12 Physics Moving Charges and Magnetism Magnetic Moment of Current Carrying Coil

Easy

$A$ small bar magnet experiences a torque of $0.016 \ Nm$ when placed with its axis at $30^{\circ}$ with an external magnetic field of $0.04 \ T$. If the bar magnet is replaced by a solenoid of cross-sectional area $1 \ cm^2$ and $1000$ turns, having the same magnetic moment as that of the bar magnet, then the current flowing through the solenoid is: (in $A$)

TS EAMCET 2019 All TS EAMCET

A
$2$
B
$4$
C
$6$
D
$8$

Explore More

Browse All

Question Bank

All Subjects

Class 12 Questions

Class 12

Physics Questions

Chapter

Moving Charges and Magnetism

Subtopic

Magnetic Moment of Current Carrying Coil

Previous Year

TS EAMCET 2019 Paper All TS EAMCET years →

In a hydrogen atom,an electron of mass $m$ and charge $e$ revolves in an orbit of radius $r$ making $n$ revolutions per second. If the mass of hydrogen nucleus is $M$,the magnetic moment associated with the orbital motion of the electron is

Easy

View Solution

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

MediumNEET 2020

View Solution

In an atom,an electron of charge $(-e)$ performs uniform circular motion ($U$.$C$.$M$.) around a stationary positively charged nucleus with a period of revolution $T$. If $r$ is the radius of the orbit of the electron and $v$ is the orbital velocity,then the circulating current $I$ is proportional to:

EasyMHT CET 2020

View Solution

$A$ circular coil of radius $4\, cm$ and of $20$ turns carries a current of $3$ amperes. It is placed in a magnetic field of intensity $0.5\, Wb/m^2$. The magnetic dipole moment of the coil is.......$A \cdot m^2$.

Easy

View Solution

An insulated wire is wound so that it forms a flat coil with $N = 200$ turns. The radius of the innermost turn is $r_1 = 3\text{ cm}$, and of the outermost turn $r_2 = 6\text{ cm}$. If $20\text{ mA}$ current flows in it, then the magnetic moment will be $\alpha \times 10^{-2}\text{ A.m}^2$. The value of $\alpha$ is . . . . . . .

DifficultJEE MAIN 2026

View Solution

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

Similar Questions

In a hydrogen atom,an electron of mass $m$ and charge $e$ revolves in an orbit of radius $r$ making $n$ revolutions per second. If the mass of hydrogen nucleus is $M$,the magnetic moment associated with the orbital motion of the electron is

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

$A$ circular coil of radius $4\, cm$ and of $20$ turns carries a current of $3$ amperes. It is placed in a magnetic field of intensity $0.5\, Wb/m^2$. The magnetic dipole moment of the coil is.......$A \cdot m^2$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module