Two very long, straight and parallel wires carry steady currents $I$ and $I$ respectively. The distance between the wires is $d$. At a certain instant of time, a point charge $q$ is at a point equidistant from the two wires in the plane of the wires. Its instantaneous velocity $v$ is perpendicular to this plane. The magnitude of the force due to the magnetic field acting on the charge at this instant is
$\frac{{{\mu _0}Iqv}}{{2\pi d}}$
$\frac{{{\mu _0}Iqv}}{{\pi d}}$
$\frac{{2{\mu _0}Iqv}}{{\pi d}}$
$0$
A circular current loop of radius a is placed in a radial field $B$ as shown. The net force acting on the loop is
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
Two very long, straight, parallel conductors $A$ and $B$ carry current of $5\,A$ and $10\,A$ respectively and are at a distance of $10\,cm$ from each other. The direction of current in two conductors is same. The force acting per unit length between two conductors is: $\left(\mu_0=4 \pi \times 10^{-7}\right.$ SI unit)
Wires $1$ and $2$ carrying currents ${i_1}$ and ${i_2}$respectively are inclined at an angle $\theta $ to each other. What is the force on a small element $dl$ of wire $2$ at a distance of $r$ from wire $1$ (as shown in figure) due to the magnetic field of wire $1$
The resultant force on the current loop $PQRS$ due to a long current carrying conductor will be