A particle of mass m = 1.6 xx10^(-27) kg and charge q=1.6xx10^(-19)C enters a region of a uniform magnetic field of flux density 1 T. The speed of the particle is 10^(5) m/s. The particle leaves the field at B. Assuming that magnetic field is directed along the inward normal in the plane of the paper, find AB length and theta .

When a coil of area 5m^(2) and number of turns 100 is placed perpendicular to a magnetic field of 10T, the flux passing through it is 5xx10Wb . If the coil is removed from the field in 0.1s, calculate the induced emf.

A wire of length l is used to form a rectangle of sides 40 cm and 10 cm. The coil is placed in a uniform magnetic field of flux density 0.2 T in such a way that flux lines are perpendicular to the plane of the coil. The rectangle is changed to a square in 0.3s. Find induced emf developed in the coil.

A proton enters a magnetic field of flux density 1.5Wb/m^2 with a speed of 2×10^7 m/s at angle of 30^o with the field. Find the force on the proton .

The magnetic flux through a coil of 50 turns changes from 0.3wb per turn to zero in 1sec. Calculate the emf induced across the two ends of the coils.

A coil of 200 turns has a cross-sectional area 900 mm It carries a current of 2 ampere. The plane of the coil is perpendicular to the uniform magnetic field of 0.5T. Calculate : torque acting on the coil

A coil of 200 turns has a cross-sectional area 900 mm It carries a current of 2 ampere. The plane of the coil is perpendicular to the uniform magnetic field of 0.5T. Calculate : magnetic moment

A circular coil having 20 turns, each of radius 8 cm is rotating about its vertical diameter with an angular speed of 50 rad s^(-1) in a uniform horizontal magnetic field of magnitude 30 mT. Obtain the maximum average and rms values of the emf induced in the coil. If the coil forms a closed loop of resistance 10 Omega , how much power is dissipated as heat in it?

Calculate the magnetic field due to a circular coil of 100 turns, radius 30 cm, carrying a current of 10 A, (i) at the centre and (ii) at a point 40 cm away from the centre on its axis.

A rectangular coil of 200 turns of wire, 15 cm xx 40 cm makes 50 rev/s about an axis perpendicular to the magnetic field of 0.08 Wb//m^2 . What is the instantaneous value of the induced emf when the plane of the coil makes an angle, with the magnetic field (a) 0^@ (b) 60^@ and (c) 90^@ ?