Magnetic Fields due to Electric Current Physics - Magnetic Fields due to Electric Current

If a charge of \(50 \mu C\) is moving with speed of \(50 m / s\) parallel to the direction of magnetic field, find the mechanical force acting on charged particle.

What is the value of force on a closed circuit in a magnetic field?

With help of suitable diagram state the expression for Biot-Savart's law in vector from.

A circular loop of radius \(9.2 cm\) carries a current of \(2.3 A\). Obtain the magnitude of magnetic field at the centre of loop.

Calculate the value of magnetic field at a distance of \(3 cm\) from a very long straight wire carrying a current of \(6 A\).

State the advantages and disadvantages of a moving coil galvanometer.

A moving coil galvanometer (M.C.G. has 10 turns each of length \(12 cm\) and breadth \(8 cm\). The coil of M.C.G. carries a current of \(125 \mu A\). and is kept perpendicular to the uniform magnetic field of induction \(10^{-2} T\). The twist constant of phosphor bronze fiber is \(12 \times 10^{-9} Nm /\) degree. Calculate the deflection produced.

A rectangular coil of a moving coil galvanometer contains 50 turns each having area \(12 cm ^2\). It is suspended in radial magnetic field \(0.025 Wb / m ^2\) by a fibre of twist constant \(15 \times 10^{-10} N - m /\) degree. Calculate the sensitivity of the moving coil galvanometer.

Show that the current flowing through a moving coil galvanometer is directly proportional to the angle of deflection of coil.

galvanometer has a resistance of \(16 \Omega\). It shows full scale deflection, when a current of \(20 mA\) is passed through it. The only shunt resistance available is \(0.06 \Omega\) which is not appropriate to convert a galvanometer into an ammeter. How much resistance should be connected in series with the coil of the galvanometer, so that the range of ammeter is \(8 A\) ?

Draw a neat, labelled diagram of a suspended coil type moving coil galvanometer.

A cyclotron is used to accelerate protons to a kinetic energy of \(5 MeV\). If the strength of magnetic field in the cyclotron is \(2 T\), find the radius and the frequency needed for the applied alternating voltage of the cyclotron. (Given: Velocity of proton \(=3 \times 10^7 m / s\) )