First slide

Magnetism

Question

A magnet of magnetic moment $50 \hat{i}$ $A m^{2}$ is placed along the X-axis in a magnetic field $\vec{B} = (0.5 \hat{i} + 3.0 \hat{j}) T$ . The torque acting on the magnet is

Moderate

A

175 $\hat{k}$ Nm
B

150 $\hat{k}$ Nm
C

75 $\hat{k}$ Nm
D

$25 \sqrt{37} \hat{k}$ Nm

Solution

$\vec{τ} = \vec{M} \times \vec{B} = 50 \hat{i} \times (0.5 \hat{i} + 3 \hat{j}) = 0 + 150 \hat{k} N m$

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