Torque on Current Loop — Prelims Questions

A rectangular coil of 100 turns, area $200\,\text{cm}^2$, carries a current of $1\,\text{A}$. It is placed in a uniform magnetic field of $0.5\,\text{T}$. If the plane of the coil makes an angle of $60^\circ$ with the magnetic field, what is the magnitude of the torque experienced by the coil?

A circular coil of radius $R$ and $N$ turns carries a current $I$. It is placed in a uniform magnetic field $B$. If the magnetic moment of the coil is $\vec{M}$, the torque acting on the coil is given by:

A current loop is placed in a uniform magnetic field. In which orientation will the loop be in stable equilibrium?

A square loop of side $10\,\text{cm}$ carries a current of $10\,\text{A}$. It is placed in a uniform magnetic field of magnitude $0.1\,\text{T}$. The magnetic field is parallel to the plane of the loop. What is the torque acting on the loop?

A current loop is placed in a non-uniform magnetic field. Which of the following statements is true?

A galvanometer coil has 50 turns and an effective area of $2\,\text{cm}^2$. It is suspended in a radial magnetic field of $0.01\,\text{T}$. If a current of $100,\mu\text{A}$ produces a deflection of $30^\circ$, what is the torsional constant of the suspension wire?