A long wire $AB$ is placed on a table. Another wire $PQ$ of mass $1.0\, g$ and length $50\, cm$ is set to slide on two rails $PS$ and $QR$. A current of $50\,A$ is passed through the wires. At what distance above $AB$, will the wire $PQ$ be in equilibrium.....$mm$
$25$
$50$
$75$
$100$
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 proton moving with a constant velocity passes through a region of space without any change in its velocity. If $\vec{E}$ and $\vec{B}$ represent the electric and magnetic fields respectively, then the region of space may have :
($A$) $\mathrm{E}=0, \mathrm{~B}=0$
($B$) $\mathrm{E}=0, \mathrm{~B} \neq 0$
($C$) $\mathrm{E} \neq 0, \mathrm{~B}=0$
($D$) $\mathrm{E} \neq 0, \mathrm{~B} \neq 0$
Choose the most appropriate answer from the options given below :
Two long wires carrying current ${{\rm{I}}_1}$ and ${{\rm{I}}_2}$ are arranged as shown in figure. The one carrying current ${{\rm{I}}_1}$ is along is the $\mathrm{y}$ - axis. The other carrying current ${{\rm{I}}_2}$ is along a line parallel to the yaxis given by ${\rm{x = 0}}$ and ${\rm{z = d}}$. Find the force exerted at ${{\rm{O}}_2}$ because of the wire along the ${\rm{x}}$ - axis.
As shown in the figure, a metallic rod of linear density $0.45\,kg\,m ^{-1}$ is lying horizontally on a smooth incline plane which makes an angle of $45^{\circ}$ with the horizontal. The minimum current flowing in the rod required to keep it stationary, when $0.15\,T$ magnetic field is acting on it in the vertical upward direction, will be $....A$ $\left\{\right.$ Use $\left.g=10 m / s ^{2}\right\}$
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.