A circular coil having N turns and radius r c | vedclass

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

Question

(D) The magnetic moment $\vec{M}$ of a coil with $N$ turns,area $A = \pi r^2$,and current $I$ is given by $\vec{M} = NIA \hat{n}$,where $\hat{n}$ is t

Vedclass · Accepted Answer

$B \pi r^2 I N$

Vedclass · Answer

(D) The magnetic moment $\vec{M}$ of a coil with $N$ turns,area $A = \pi r^2$,and current $I$ is given by $\vec{M} = NIA \hat{n}$,where $\hat{n}$ is the unit vector normal to the plane of the coil.Since the coil is in the $XZ$ plane,its normal vector is along the $Y$-axis,so $\vec{M} = NI(\pi r^2) \hat{j}$.The magnetic field is $\vec{B} = B \hat{i}$.The torque $\vec{	au}$ on the coil is given by $\vec{	au} = \vec{M} 	imes \vec{B}$.Substituting the values: $\vec{	au} = (NI \pi r^2 \hat{j}) 	imes (B \hat{i})$.Using the cross product rule $\hat{j} 	imes \hat{i} = -\hat{k}$,we get $\vec{	au} = -NI \pi r^2 B \hat{k}$.The magnitude of the torque is $|\vec{	au}| = NI \pi r^2 B$.

$A$ circular coil having $N$ turns and radius $r$ carries a current $I$. It is held in the $XZ$ plane in a magnetic field $\vec{B} = B\hat{i}$. The torque on the coil due to the magnetic field is

Similar Questions

$A$ current-carrying loop is placed in a uniform magnetic field. The torque acting on it does not depend upon

Current $I$ is carried in a wire of length $L$. If the wire is bent into a circular coil of single turn,the maximum torque in a given magnetic field $B$ is:

$A$ circular loop of area $0.01\,m^2$ carrying a current of $10\,A$ is held perpendicular to a magnetic field of intensity $0.1\,T$. The torque acting on the loop is......$N-m$.

The expression for the torque acting on a coil having area of cross-section $A$,number of turns $n$,placed in a magnetic field of strength $B$,making an angle $\theta$ with the normal to the plane of the coil,when a current $i$ is flowing in it,will be

$A$ circular coil carrying a current of $2.5 \ A$ is free to rotate about an axis in its plane perpendicular to an external magnetic field. When the coil is made to oscillate, the time period of oscillation is $T$. If the current through the coil is $10 \ A$, the time period of oscillation is

Vedclass Test Series

Exam Paper Generator

Online Exam Module