A charge having $q/m$ equal to $10^8\, C/kg$ and with velocity $3 \times 10^5\, m/s$ enters into a uniform magnetic field $0.3\, tesla$ at an angle $30^o$ with direction of field. The radius of curvature will be ......$cm$
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A proton moving with a constant velocity passes through a region of space without any change in its velocity. If $\overrightarrow E $ and $\overrightarrow B $ represent the electric and magnetic fields respectively, then this region of space may have
Two long parallel wires carrying currents $8\,A$ and $15\,A$ in opposite directions are placed at a distance of $7\,cm$ from each other. A point $P$ is at equidistant from both the wires such that the lines joining the point $P$ to the wires are perpendicular to each other. The magnitude of magnetic field at $P$ is $............\times 10^{-6}\,T$. (Given : $\left.\sqrt{2}=1.4\right)$
A current of $3$ $amp$ is flowing in a plane circular coil of radius $4\, cm$ and number of turns $20$. The coil is placed in a uniform magnetic field of magnetic induction $0.5\, tesla$. Then, the dipole moment of the coil is.....$A-m^2$
An electron with energy $880 \,eV$ enters a uniform magnetic field of induction $2.5 \times 10^{-3}\,T$. The radius of path of the circle will approximately be :
A proton of mass $m$ and charge $+e$ is moving in a circular orbit in a magnetic field with energy $1\, MeV$. What should be the energy of $\alpha - $particle (mass = $4m$ and charge = $+ 2e),$ so that it can revolve in the path of same radius.......$MeV$
A metallic block carrying current $I$ is subjected to a uniform magnetic induction $\overrightarrow B $ as shown in the figure. The moving charges experience a force $\overrightarrow F $ given by ........... which results in the lowering of the potential of the face ........ Assume the speed of the carriers to be $v$
A circular loop of radius $R$ carries a current $I$. Another circular loop of radius $r(< < R) $ carries a current $i$ and is placed at the centre of the larger loop. The planes of the two circles are at right angle to each other. Find the torque acting on the smaller loop.
A thin non conducting disc of radius $R$ is rotating clockwise (see figure) with an angular velocity $w$ about its central axis, which is perpendicular to its plane. Both its surfaces carry $+ve$ charges of uniform surface density. Half the disc is in a region of a uniform, unidirectional magnetic field $B$ parallel to the plane of the disc, as shown. Then,
Suppose an isolated north pole is kept at the centre of a circular loop carrying a electric current $i$. The magnetic field due to the north pole at a point on the periphery of the wire is $B$. The radius of the loop is $a$. The force on the wire is