In order to pass $10\,\%$ of main current through a moving coil galvanometer of $99\, ohm$, the resistance of the required shunt is ............ $\Omega $
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A electron experiences a force $\left( {4.0\,\hat i + 3.0\,\hat j} \right)\times 10^{-13} N$ in a uniform magnetic field when its velocity is $2.5\,\hat k \times \,{10^7} ms^{-1}$. When the velocity is redirected and becomes $\left( {1.5\,\hat i - 2.0\,\hat j} \right) \times {10^7}$, the magnetic force of the electron is zero. The magnetic field $\vec B$ is :
A wire of length $L$ is bent in the form of a circular coil and current $i$ is passed through it. If this coil is placed in a magnetic field then the torque acting on the coil will be maximum when the number of turns is
The expression for the torque acting on a coil having area of cross-section $A$, number of turns $n$, placed in a magnetic field of strength $B$, making an angle $\theta $ with the normal to the plane of the coil, when a current $i$ is flowing in it, will be
Two insulated circular loop $A$ and $B$ radius ' $a$ ' carrying a current of ' $\mathrm{I}$ ' in the anti clockwise direction as shown in figure. The magnitude of the magnetic induction at the centre will be :
Find the magnetic field at point $P$ due to a straight line segment $AB$ of length $6\, cm$ carrying a current of $5\, A$. (See figure) $(\mu _0 = 4p\times10^{-7}\, N-A^{-2})$
A particle of mass $m,$ charge $Q$ and kinetic energy $K$ enters a transverse uniform magnetic field of induction $B.$ After $3$ $seconds$ the kinetic energy of the particle will be .......$K$
A uniform magnetic field of $0.3\; T$ is established along the positive $Z$ -direction. A rectangular loop in $XY$ plane of sides $10 \;cm$ and $5 \;cm$ carries a current of $I =12\; A$ as shown. The torque on the loop is