A square loop of edge length $2 \mathrm{~m}$ carrying current of $2 \mathrm{~A}$ is placed with its edges parallel to the $\mathrm{x}-\mathrm{y}$ axis. A magnetic field is passing through the $x-y$ plane and expressed as $\vec{B}=B_0(1+4 x) \hat{k}$, where $\mathrm{B}_0=5 \mathrm{~T}$. The net magnetic force experienced by the loop is. . . . . . .  $\mathrm{N}$.

A rectangular loop of wire shown below is coplanar with a long wire carrying current $I$. The loop is pulled to the right a s indicated. What are the directions of the induced current in the loop and the magnetic forces on the left and the right sides of the loop?

Two thin long parallel wires separated by a distance $b$ are carrying a current $i$ $amp$ each. The magnitude of the force per unit length exerted by one wire on the other is

A rectangular loop of wire, supporting a  mass $m$, hangs with one end in a uniform magnetic field $\vec B$  pointing into the plane of the paper. $A$ clockwise current is set up such that  $i> mg/Ba,$ where $a$ is the width of the loop. Then

A conducting wire bent in the form of a parabola $y^2 = 2x$ carries a current $i = 2 A$ as shown in figure. This wire is placed in a uniform magnetic field $\vec B =  - 4\,\hat k$ $Tesla$. The magnetic force on the wire is (in newton)

A wire carrying a current $I$ along the positive $x$-axis has length $L$ It is kept in a magnetic field $\overrightarrow{ B }=(2 \hat{ i }+3 \hat{ j }-4 \hat{ k }) T$. The magnitude of the magnetic force acting on the wire is $..........IL$