A long solenoid of radius $1\,mm$ has $100 $turns per $mm$. If $1\,A$ current flows in the solenoid, the magnetic field strength at the centre of the solenoid is:
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When a current of $5\ mA$ is passed through a galvanometer having a coil of resistance $15\ \Omega$, it shows full scale deflection. The value of the resistance to be put in series with the galvanometer to convert it into to voltmeter of range $0 - 10\ V$ is
A solenoid is $1.0$ $ metre$ long and it has $4250$ $turns$. If a current of $5.0$ $ampere$ is flowing through it, what is the magnetic field at its centre $[{\mu _0} = 4\pi \times {10^{ - 7}}\,weber/amp - m]$
In the given figure an ammeter $A$ consists of a $240 \Omega$ coil connected in parallel to a $10 \Omega$ shunt. The reading of the ammeter is . . . . . . $\mathrm{mA}$.
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 $L$
A cylindrical conductor of radius $R$ is carrying a constant current. The plot of the magnitude of the magnetic field, $B$ with the distance $d$, from the centre of the conductor, is correctly represented by the figure
Two similar coils are kept mutually perpendicular such that their centres coincide. At the centre, find the ratio of the magnetic field due to one coil and the resultant magnetic field by both coils, if the same current is flown
An electron (mass = $9.0 × $${10^{ - 31}}$ $kg$ and charge =$1.6 \times {10^{ - 19}}$ $coulomb$) is moving in a circular orbit in a magnetic field of $1.0 \times {10^{ - 4}}\,weber/{m^2}.$ Its period of revolution is
A galvanometer has a resistance of $25\, ohm$ and a maximum of $0.01\, A$ current can be passed through it. In order to change it into an ammeter of range $10\, A$, the shunt resistance required is