Derive an expression for the torque acting on a magnetic dipole in uniform magnetic field.


Question: Derive an expression for the torque acting on a magnetic dipole in uniform magnetic field.

The torque acting on a magnetic dipole in a uniform magnetic field can be expressed as:


T = m × B


where:


T is the torque acting on the dipole

m is the magnetic dipole moment of the dipole

B is the uniform magnetic field


The direction of the torque is given by the right-hand rule, which states that if the thumb of your right hand points in the direction of the magnetic dipole moment, and your fingers curl in the direction of the uniform magnetic field, then your palm will point in the direction of the torque.


Note that the above expression is only valid for a magnetic dipole in a uniform magnetic field. If the magnetic field is not uniform, the torque will depend on the spatial distribution of the magnetic field and the orientation of the dipole.

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