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A bar magnet of magnetic moment 1.5 J T-1 lies aligned with the direction of a uniform magnetic field of 0.22 T. What is the torque on the magnet in cases (i) and (ii)? -

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Question

A bar magnet of magnetic moment 1.5 J T-1 lies aligned with the direction of a uniform magnetic field of 0.22 T.

What is the torque on the magnet in cases (i) and (ii)?

Sum

Solution

For case (i): `theta = theta_2 = 90°`

`therefore "Torque"  tau = "MB sin"  theta`

`= 1.5 xx 0.22  "sin"  90°`

`= 0.33  "J"`

For case (ii): `theta = theta_2 = 180°`

`therefore "Torque", tau = "MB  sin"  theta`

`= "MB sin"  180° = 0  "J"`

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