First slide

Magnetic dipole in a uniform magnetic field

Question

In Fig. the magnetic needle has magnetic moment 6.7×10^–2Am² and moment of inertia I = 7.5×10^–6 kg m². It performs 10 complete oscillations in 6.70 s. What is the magnitude of the magnetic field ?

Moderate

Solution

$n = \frac{1}{2 π} \sqrt{\frac{MB}{I}} \frac{10}{6.7} = \frac{1}{2 π} \sqrt{\frac{6.7 x 10^{- 2} B}{7.5 x 10^{- 6}}}, B = 0.01 T$

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