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

Question

Aicharya · Accepted Answer

The given situations of two bar magnets is shown in the following figure.

Magnetic dipole moment of each bar magnet $M_1=M_2=M=m l$ $M_1$ and $M_2$ are perpendicular to each other as shown in the figure.

$\therefore$ Net magnetic moment of the system, $M=\sqrt{M_1^2+M_2^2+2 M_1 M_2 \cos 90^{\circ}}$ $\begin{aligned} & =\sqrt{M_1^2+M_2^2}=\sqrt{M^2+M^2} \\ & =M \sqrt{2}=m l \sqrt{2}=\sqrt{2} m l \end{aligned}$

Two identical thin bar magnets, each of length \(l\) and pole strength \(m\), are placed at right angle to…

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