The magnetic moment of the arrangement shown | vedclass

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

Question

(C) The magnetic moment is a vector quantity. The direction of the magnetic moment is from the South pole $(S)$ to the North pole $(N)$.$1$. The horiz

Vedclass · Accepted Answer

$2$

Vedclass · Answer

(C) The magnetic moment is a vector quantity. The direction of the magnetic moment is from the South pole $(S)$ to the North pole $(N)$.$1$. The horizontal magnet has a magnetic moment $M$ directed towards the left.$2$. The vertical magnet has a magnetic moment $M$ directed upwards.$3$. The hypotenuse magnet has a magnetic moment $M\sqrt{2}$ directed along the hypotenuse (from $S$ to $N$).Let the horizontal direction be the $x$-axis and the vertical direction be the $y$-axis.- $\vec{M}_1 = -M \hat{i}$- $\vec{M}_2 = M \hat{j}$- $\vec{M}_3 = M\sqrt{2} (\cos 45^\circ \hat{i} + \sin 45^\circ \hat{j}) = M\sqrt{2} (\frac{1}{\sqrt{2}} \hat{i} + \frac{1}{\sqrt{2}} \hat{j}) = M \hat{i} + M \hat{j}$Now,the resultant magnetic moment $\vec{M}_{	ext{net}}$ is:$\vec{M}_{	ext{net}} = \vec{M}_1 + \vec{M}_2 + \vec{M}_3 = (-M \hat{i} + M \hat{j}) + (M \hat{i} + M \hat{j}) = 2M \hat{j}$The magnitude of the resultant magnetic moment is $2M$. Therefore,the value is $2$.

The magnetic moment of the arrangement shown in the figure is ............. $M$.

Similar Questions

$A$ magnetic needle is kept in a non-uniform magnetic field. It experiences

There is no couple acting when two bar magnets are placed coaxially separated by a distance because

$A$ straight magnetic strip has a magnetic moment of $44 \text{ Am}^2$. If the strip is bent in a semicircular shape,its magnetic moment will be . . . . . . . $\text{Am}^2$ (Given $\pi = \frac{22}{7}$)

Two identical thin bar magnets,each of length $l$ and pole strength $m$,are placed at a right angle to each other with the north pole of one touching the south pole of the other. The magnetic moment of the system is

The length of a steel wire is $L$ and its magnetic moment is $M$. On bending it into the shape of a semicircle,its magnetic moment will be

Vedclass Test Series

Exam Paper Generator

Online Exam Module