A circular coil having $N$ $turns$ is made from a wire of length $L$ $meter$. If a current $I$ $ampere$ is passed through it and is placed in a magnetic field of $B$ $Tesla$, the maximum torque on it is
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Two infinitely long parallel wires carry currents of magnitude $I_1$ and $I_2$ are at a distance $4 cm$ apart. The magnitude of the net magnetic field is found to reach a non-zero minimum value between the two wires and $1 \,cm$ away from the first wire. The ratio of the two currents and their mutual direction is
A coil in the shape of an equilateral triangle of side $l$ is suspended between the pole pieces of a permanent magnet such that $\vec {B}$ is in plane of the coil. If due to a current $i$ in the triangle a torque $\tau$ acts on it, the side $l$ of the triangle is
An electron enters a region where electrostatic field is $20\,N/C$ and magnetic field is $5\,T$. If electron passes undeflected through the region, then velocity of electron will be.....$m{s^{ - 1}}$
An infinitely long straight conductor is bent into the shape as shown in the figure. It carries a current of $i$ $ampere$ and the radius of the circular loop is $r$ $metre$. Then the magnetic induction at its centre will be
A magnet of magnetic moment $ 20 $ $C.G.S.$ units is freely suspended in a uniform magnetic field of intensity $0.3 $ $ C.G.S.$ units. The amount of work done in deflecting it by an angle of $30°$ in $ C.G.S.$ units is