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A rectangular coil $20\,cm \times 20\,cm$ has $100$ $turns$ and carries a current of $1\, A$. It is placed in a uniform magnetic field $B =0.5\, T$ with the direction of magnetic field parallel to the plane of the coil. The magnitude of the torque required to hold this coil in this position is........$N-m$
The region between $y = 0$ and $y = d$ contains a magnetic field $\vec B = B\hat z$ A particle of mass $m$ and charge $q$ enters the region with a velocity $\vec v = v\hat i$. If $d = \frac{{mv}}{{2qB}}$ , the acceleration of the charged particle at the point of its emergence at the other side is
Two particles $A$ and $B$ of masses ${m_A}$ and ${m_B}$ respectively and having the same charge are moving in a plane. A uniform magnetic field exists perpendicular to this plane. The speeds of the particles are ${v_A}$ and ${v_B}$ respectively, and the trajectories are as shown in the figure. Then
What is the magnitude of magnetic force per unit length (in $N \;m ^{-1}$) on a wire carrying a current of $8\; A$ and making an angle of $30^o$ with the direction of a uniform magnetic field of $0.15\;T$?
If the strength of the magnetic field produced $10\,cm$ away from a infinitely long straight conductor is ${10^{ - 5}}\,Weber/{m^2}$, the value of the current flowing in the conductor will be........$ampere$
A thin uniform rod with negligible mass and length $l$ is attached to the floor by a frictionless hinge at point $P$ . A horizontal spring with force constant $k$ connects the other end to wall. The rod is in a uniform magnetic field $B$ directed into the plane of paper. What is extension in spring in equilibrium when a current $i$ is passed through the rod in direction shown. Assuming spring to be in natural length initially.
An $\alpha$ particle is moving along a circle of radius $R$ with a constant angular velocity $\omega $. Point $A$ lies in the same plane at a distance $2R$ from the centre. Point $A$ records magnetic field produced by $\alpha$ particle. If the minimum time interval between two successive times at which $A$ records zero magnetic field is $‘t’,$ find the angular speed $\omega $, in terms of $t.$