The magnitude of the magnetic moment of the c | vedclass

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

Question

(B) The loop shown in the figure can be considered as being made up of two square current loops: one in the $x-z$ plane and the other in the $x-y$ pla

Vedclass · Accepted Answer

$\sqrt{2} Il^2$

Vedclass · Answer

(B) The loop shown in the figure can be considered as being made up of two square current loops: one in the $x-z$ plane and the other in the $x-y$ plane.The magnitude of the magnetic moment of each loop is $M = I 	imes 	ext{Area} = Il^2$.The magnetic moment vector for the loop in the $x-z$ plane is directed along the $y$-axis, and the magnetic moment vector for the loop in the $x-y$ plane is directed along the $z$-axis.Since these two magnetic moment vectors are perpendicular to each other, their resultant magnitude is given by:$M_{	ext{net}} = \sqrt{M_1^2 + M_2^2} = \sqrt{(Il^2)^2 + (Il^2)^2} = \sqrt{2} Il^2$.

The magnitude of the magnetic moment of the current loop shown in the figure is

Similar Questions

What is the magnetic moment due to the given current distribution?

$A$ thin circular wire carrying a current $I$ has a magnetic moment $M$. The shape of the wire is changed to a square and it carries the same current. It will have a magnetic moment

An electron in a circular orbit of radius $0.05 \,nm$ performs $10^{16}$ revolutions per second. What is the magnetic moment due to the rotation of the electron? $(e = 1.6 \times 10^{-19} \,C)$

$A$ square loop is carrying a steady current $I$ and the magnitude of its magnetic dipole moment is $m$. If this square loop is changed to a circular loop and it carries the same current,the magnitude of the magnetic dipole moment of the circular loop will be

Current $i$ is flowing in the rectangular loop placed in the $xyz$ plane as shown in the figure. Find the magnetic moment of the loop.

Vedclass Test Series

Exam Paper Generator

Online Exam Module