Two $10 \; cm$ long, straight wires, each carrying a current of $5 \; A$ are kept parallel to each other. If each wire experienced a force of $10^{-5} \; N$, then separation between the wires is $\dots \; cm$.

A wire $X$ of length $50\; cm$ carrying a current of $2\,A$ is placed parallel to a long wire $Y$ of length $5\,m$. The wire $Y$ carries a current of $3\,A$. The distance between two wires is $5\,cm$ and currents flow in the same direction. The force acting on the wire $Y$ is.

Three long, straight parallel wires carrying current, are arranged as shown in figure. The force experienced by a $25\, cm$ length of wire $C$ is

$AB$ and $CD$ are smooth parallel rails, separated by a distance $l$, and inclined to the horizontal at an angle $\theta$ . $A$ uniform magnetic field of magnitude $B$, directed vertically upwards, exists in the region. $EF$ is a conductor of mass $m$, carrying a current $i$, if $B$ is normal to the plane of the rails

What is the net force on the square coil

A semi circular current carrying wire having radius $R$ is placed in $x-y$ plane with its centre at origin $‘O’$. There is non-uniform magnetic $\vec B = \frac{{{B_o}x}}{{2R}}\hat k$ (here $B_o$ is + $ve$ constant) is existing in the region. The  magnetic force acting on semi circular wire will be along