A current of $200\ \mu \mathrm{A}$ deflects the coil of a moving coil galvanometer through $60^{\circ}$. The current to cause deflection through $\frac{\pi}{10}$ radian is:
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Two straight infinitely long current carrying wires are kept along $z-$ axis at the coordinates $(0, a, 0)$ and $(0, -a, 0)$ respectively as shown in the figure. The current in each of the wire is equal and along negative $z-$ axis (into the plane of the paper). The variation of magnetic field on the $x-$ axis will be approximately
A current $i$ flows in a circular coil of radius $r$. If the coil is placed in a uniform magnetic field $B$ with its plane parallel to the field, magnitude of the torque that acts on the coil is
Five very long, straight wires are bound together to form a small cable. Currents carried by the wires are ${I_1} = 20\,A,$ ${I_2} = - \,6\,A,$ ${I_3} = 12\,A,\,{I_4} = - 7\,A,\,{I_5} = 18\,A.$ The magnetic induction at a distance of $10\, cm$ from the cable is
A charged particle carrying charge $1\,\mu C$ is moving with velocity $(2 \hat{ i }+3 \hat{ j }+4 \hat{ k })\, ms ^{-1} .$ If an external magnetic field of $(5 \hat{ i }+3 \hat{ j }-6 \hat{ k }) \times 10^{-3}\, T$ exists in the region where the particle is moving then the force on the particle is $\overline{ F } \times 10^{-9} N$. The vector $\overrightarrow{ F }$ is :
The magnetic field existing in a region is given by $\overrightarrow{\mathrm{B}}=0.2(1+2 \mathrm{x}) \hat{\mathrm{k} T}$. A square loop of edge $50 \mathrm{~cm}$ carrying $0.5 \mathrm{~A}$ current is placed in $x-y$ plane with its edges parallel to the $x-y$ axes, as shown in figure. The magnitude of the net magnetic force experienced by the loop is___________. $\mathrm{mN}$.
A particle of charge $q$ and velocity $v$ passes undeflected through a space with non-zero electric field $E$ and magnetic field $B$. The undeflecting conditions will hold if.
A uniform, constant magnetic field $\vec B$ is directed at an angle of $45^o$ to the $x-$ axis in the $xy-$ plane, $PQRS$ is a rigid square wire frame carrying a steady current $I_0,$ with its centre at the origin $O.$ At time $t = 0,$ the frame is at rest in the position shown in the figure, with its sides parallel to the $x$ and $y$ axis. Each side of the frame is of mass $M$ and Length $L$