First slide

Magnetic dipole in a uniform magnetic field

Question

A magnet of magnetic moment 50 $\hat{i}$ Am² 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

Solution

$τ = \bar{M} x \bar{B} = |\begin{matrix} \hat{i} & \hat{j} & \hat{k} \\ 50 & 0 & 0 \\ 0.5 & 3 & 0 \end{matrix}| = 150 \hat{K} Nm$

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