A galvanometer coil has $500$ turns and each turn has an average area of $3 \times 10^{-4}\, m ^{2}$. If a torque of $1.5\,Nm$ is required to keep this coil parallel to magnetic field when a current of $0.5\, A$ is flowing through it, the strength of the field (in $T )$ is
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An infinitely long current carrying wire and a small current carrying loop are in the plane of the paper as shown. the radius of the loop is $a$ and distance of its centre from the wire is $d (d >> a)$. If the loop applies a force $F$ on the wire then
A moving coil galvanometer allows a full scale current of $10^{-4}\, A$. A series resistance of $2\, M\,\Omega $ is required to convert the above galvanometer into a voltmeter of range $0 -5\, V$. Therefore the value of shunt resistance required to convert the above galvanometer into a ammeter of range $0-10\, mA$ is....$\Omega $
A steady current is set up in a cubic network composed of wires of equal resistance and length $d$ as shown in figure. What is the magnetic field at the centre P due to the cubic network
An electron having charge $1.6 \times {10^{ - 19}}\,C$ and mass $9 \times {10^{ - 31}}\,kg$ is moving with $4 \times {10^6}\,m{s^{ - 1}}$ speed in a magnetic field $2 \times {10^{ - 1}}\,tesla$ in a circular orbit. The force acting on electron and the radius of the circular orbit will be
The magnetic induction at a point $P$ which is distant $4\, cm$ from a long current carrying wire is ${10^{ - 8}}\,Tesla$. The field of induction at a distance $12\, cm $ from the same current would be
When a $12\,\Omega $ resistor is connected with a moving coil galvanometer then its deflection reduces from $50$ divisions to $10$ divisions. The resistance of the galvanometer is ............. $\Omega $