Magnetic Force Questions

A current carrying closed loop in the form of a right angle isosceles triangle $ABC$ is placed in a uniform magnetic field acting along $AB$. If the magnetic force on the arm $BC$ is $\vec{F}$, the force on the arm $AC$ is:

A closed loop $PQRS$ carrying a current is placed in a uniform magnetic field. If the magnetic forces on segments $PS$, $SR$, and $RQ$ are $F_1$, $F_2$, and $F_3$ respectively and are in the plane of the paper and along the directions shown, the force on the segment $QP$ is:

The magnetic force acting on a charged particle of charge $-2\mu \text{C}$ in a magnetic field of $2\text{T}$ acting in $y$ direction, when the particle velocity is $(2\hat{i}+3\hat{j})\times 10^6{\text{ms}}^{-1}$, is:

A square current carrying loop is suspended in a uniform magnetic field acting in the plane of the loop. If the force on one arm of the loop is $\vec{F}$, the net force on the remaining three arms of the loop is:

A rectangular coil of length $0.12\text{m}$ and width $0.1\text{m}$ having $50$ turns of wire is suspended vertically in a uniform magnetic field of strength $0.2{\text{Weber/m}}^2$. The coil carries a current of $2\text{A}$. If the plane of the coil is inclined at an angle of $30^{\circ }$ with the direction of the field, the torque required to keep the coil in stable equilibrium will be: