A current carrying wire $LN$ is bent in the form as shown below. If the wire carries a current of $10 \mathrm{A}$ and it is placed in a magnetic field of $5 \mathrm{T}$ which acts perpendicular to the paper outwards then it will experience a force of

A wire carrying a current $i$ is placed in a uniform magnetic field $\left(B\right)$ perpendicular to the plane of wire in the form of the curve $y=a \sin \left(\frac{\pi x}{L}\right); 0\le x\le 2L$. The force acting on the wire is

Two long wires are hanging freely. They are joined first in parallel and then in series and then are connected with a battery. Which type of force acts between the two wires in both cases?

A long wire$\mathit{ }AB$ is placed on a table. Another wire $PQ$ of mass $1.0 \mathrm{g}$ and length $50 \mathrm{cm}$ is set to slide on two rails $PS$ and $QR$. A current of $50 \mathrm{A}$ is passed through the wires. At what distance above $AB$, will the wire $PQ$ be in equilibrium?

What is the net force on the square coil?

Figure shows a wire ring of radius $a$ that is perpendicular to the general direction of a radially symmetric, diverging magnetic field. The magnetic field at the ring is everywhere of the same magnitude $B$, and its direction at the ring everywhere makes an angle $\theta$ with a normal to the plane of the ring. The twisted lead wires have no effect on the problem. Find the magnitude of the force, the field exerts on the ring, if the ring carries a current $i$.

A copper rod of mass $m$ rests on two horizontal rails, at a distance $L$ apart, and carries a current $i$ from one rail to the other. The coefficient of static friction between rod and rails is ${\mu }_s$. What is the magnitude of the smallest magnetic field that puts the rod on the verge of sliding?

A copper rod of mass $m$ rests on two horizontal rails distance$L$ apart and carries a current of $\mathrm{I}$ from one rail to another. The coefficient of static friction between the rod and the rail is ${\mu }_s$. What is the angle (relative to the vertical) of the smallest magnetic field that puts the rod on the verge of sliding?

A straight conductor of length $r_0$ carrying a current $i$ is placed perpendicular to a long straight conductor which carries a current $i_0$ as shown in the figure. Find the force of interaction between them.