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A coil is placed in $y-z$ plane making an angle of $30^{\circ}$ with $x$ -axis. The current through coil is $I,$ and number of turns are $N$. If a magnetic field of strength $'B'$ is applied in positive $x-$direction, then find the torque experienced by the coil (Radius of coil is $R$) (in $N \cdot m$)
$\left(N=100, I=1 A, R=2\, m, B=\frac{1}{\pi} T\right)$
Two long straight wires $P$ and $Q$ carrying equal current $10\,A$ each were kept parallel to each other at $5\,cm$ distance. Magnitude of magnetic force experienced by $10\,cm$ length of wire $P$ is $F_1$. If distance between wires is halved and currents on them are doubled, force $F_2$ on $10\,cm$ length of wire $P$ will be :
At $t$ = $0$, a positively charged particle of mass $m$ is projected from the origin with velocity $u_0$ at an angle $37^o $ from the $x-$axis as shown in the figure. A constant magnetic field ${\vec B_0} = {B_0}\hat j$ is present in space. After a time interval $t_0$ velocity of particle may be:-
A coil having $100$ turns, area of $5 \times 10^{-3} \mathrm{~m}^2$, carrying current of $1 \mathrm{~mA}$ is placed in uniform magnetic field of $0.20 \mathrm{~T}$ such a way that plane of coil is perpendicular to the magnetic field. The work done in turning the coil through $90^{\circ}$ is . . . . . . $\mu \mathrm{J}$.
A proton (or charged particle) moving with velocity $v$ is acted upon by electric field $E$ and magnetic field $B$. The proton will move undeflected if
The ratio of the magnetic field at the centre of a current carrying circular coil to its magnetic moment is $'\alpha '.$ If the current and radius both are doubled then new ratio will become