First slide

Magnetic dipole in a uniform magnetic field

Question

The workdone in deflecting a small magnet of magnetic moment 10 Am² through 180^o from uniform magnetic field of strength 0.4 x 10^-4 T is

Easy

A

8 x 10^-4 J
B

Zero
C

4 x 10^-4 J
D

none of these

Solution

$W = MB (1 - \cos θ) \begin{array}{l} = 10 \times (0 \cdot 4 \times 10^{- 4}) \times (1 - \cos 180^{\circ}) \\ = 10 \times (0 \cdot 4 \times 10^{- 4}) \times 2 \\ = 20 \times 0 \cdot 4 \times 10^{- 4} = 8 \times 10^{- 4} J \end{array}$

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