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Class 12
Physics
Magnetism and Matter
a magnetic dipole is under the influence of two ma...

Question:
A magnetic dipole is under the influence of two magnetic fields. The angle between the field directions is 60º, and one of the fields has a magnitude of 1.2 x 10^-2T. If the dipole comes to stable equilibrium at an angle of 15º with this field, what is the magnitude of the other field?

Answer:

Magnitude of one of the magnetic fields, B₁= 1.2 × 10 ^{- 2}T

Magnitude of the other magnetic field = B₂

Angle between the two fields, θ= 60°

At stable equilibrium, the angle between the dipole and field B₁, θ₁= 15°

Angle between the dipole and field B₂, θ₂= θ - θ₁ = 60° - 15° = 45°

At rotational equilibrium, the torques between both the fields must balance each other.

∴Torque due to field B₁= Torque due to field B₂

MB₁sinθ₁= MB₂sinθ₂

Where, M= Magnetic moment of the dipole

Hence, the magnitude of the other magnetic field is 4.39 × 10 ^{- 3}T.

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Question:
A magnetic dipole is under the influence of two magnetic fields. The angle between the field directions is 60º, and one of the fields has a magnitude of 1.2 x 10^-2T. If the dipole comes to stable equilibrium at an angle of 15º with this field, what is the magnitude of the other field?

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Question: A magnetic dipole is under the influence of two magnetic fields. The angle between the field directions is 60º, and one of the fields has a magnitude of 1.2 x 10-2T. If the dipole comes to stable equilibrium at an angle of 15º with this field, what is the magnitude of the other field?

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Question:
A magnetic dipole is under the influence of two magnetic fields. The angle between the field directions is 60º, and one of the fields has a magnitude of 1.2 x 10^-2T. If the dipole comes to stable equilibrium at an angle of 15º with this field, what is the magnitude of the other field?