Question

A rectangular loop of sides $10cm$ and $5cm$ carrying a current $I$ of $12A$ is placed in different orientations as shown in the figures below,

If there is a uniform magnetic field of $0.3T$ in the positive $z$-direction in which orientations the loop would be in (i) stable equilibrium and (ii) unstable equilibrium?

• A. (a) and (b) respectively
• B. (b) and (d) respectively
• C. (a) and (c) respectively
• D. (b) and (c) respectively

Answer 1

Answer: (B)

For equilibrium $\vec{\tau }=0$
$\vec{\tau }=MB\sin \theta \hat{n}$
If, $\sin \theta =0;\vec{\tau }=0$
If angle between $\vec{M}$ and $\vec{B}$ is zero, then stable equilibrium
If angle between $\vec{M}$ and $\vec{B}$ is $\pi$, then unstable equilibrium