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Q.

A magnetic dipole is under the influence of two magnetic fields B1 and B2. The angle between the fields direction is 60° and one of the fields has a magnitude of 1.2×10–2 T. If the dipole comes to stable equilibrium at an angle of 15° with this field, what is the magnitude of the other field (sin15° = 0.2588)

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a

2.6×10–2 T

b

1.5×10–3 T

c

4.39×10–3 T

d

3.49×10–3 T

answer is C.

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Detailed Solution

τ1=τ2 MB1Sinθ1=MB2Sinθ2 M×1.2 ×10-2×Sin15°=MB2Sin45° B2 = 1.2 ×10-2×0.2588Sin45° B2 = 4.39 × 10-3 T

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