First slide

Torque on a current carrying loop placed in uniform magnetic field

Question

A current loop in a magnetic field

Easy

A

can be in equilibrium in two orientations, both the equilibrium states are unstable
B

can be in equilibrium in two orientations, one stable while the other is unstable
C

experiences a torque whether the field is uniform or non uniform in non orientations
D

can be in equilibrium in one orientation

Solution

When a current loop is placed in a magnetic field it experiences a torque. It is given by $\vec{τ} = \vec{M} \times \vec{B}$
Where $\vec{M}$ is the magnetic moment of the loop and $\vec{B}$ is the magnetic field.
or $τ = M B \sin θ$ where $θ$ is angle between M and B
When $\vec{M}$ and $\vec{B}$ are parallel (i.e. $θ$ = 0°) the equilibrium is stable and when they are antiparallel (i .e. $θ = π$ ) the equilibrium is unstable.

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