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

The magnetic field existing in a region is given by $\vec B\, = {B_0}\,\left[ {1 + \frac{x}{l}} \right]\,\hat k\,A$ square loop of edge $l$  and carrying current $I_0$ , is placed with its edges parallel to the $x-y$ axis . Find the magnitude of the net magnetic force experienced by the loop 

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 $\overrightarrow F$ the net force on the remaining three arms of  the loop is

A metal ring of radius $r = 0.5 \,\,m $ with its plane normal to a uniform magnetic field $B$ of induction $0.2 T$ carries a current $I = 100\,\, A$. The tension in newtons developed in the ring is:

A semicircular ring of radius $R$ carrying current $i$ is placed in a magnetic field of intensity $B$ so that plane of wire is perpendicular to magnetic field as shown. Net force acting on the ring is

The magnetic field existing in a region is given by $\overrightarrow{\mathrm{B}}=0.2(1+2 \mathrm{x}) \hat{\mathrm{k} T}$. A square loop of edge $50 \mathrm{~cm}$ carrying $0.5 \mathrm{~A}$ current is placed in $x-y$ plane with its edges parallel to the $x-y$ axes, as shown in figure. The magnitude of the net magnetic force experienced by the loop is___________. $\mathrm{mN}$.