A conducting rod of length 'l' is moved in a magnetic field of magnitude B with velocity v such that the arrangement is mutually perpendicular. Prove that the e.m.f. induced in the rod is `|E| = Blv`.

A conductor of length l is moved perpendicular to uniform magnetic field B with velocity v as shown in the figure The e.m.f. induced across the length of the conductor is

A metallic wire bent in the form of a semicircle of raidus 0.1 m is moved into magnetic field of 20 mT in a direction parallel to its plane, but perpendicular to the magnetic field with a velocity of 10 ms^-1 . Find the e.m.f. induced in the wire.

A conductor 2m long moves in a magnetic field of lfux density 0.5 xx 10^-4 tesla with a speedof 36 km per hour. Calculate the e.m.f. induced in it, if it is perpendicular to both its length and field.

A proton having charge e enters a magnetic field of strength B with a velocity v in a direction making angle theta with the direction of the field. The force on proton is

If a magnet is held stationary and a coil is moved towards the magnet, will there be any induced e.m.f. produced in the coil?

A rectangular coil of N turns and ara of cross-section A is held in a time-varying field given by B = B_0 cosomegat , with the plane of the coil noral to the magnetic field. Deduce an expression for the e.m.f. induced in the coil.

Show that the ratio of electric and magnetic field is equal to velocity of light(i.e. e.m. wave)

A conducting rod PQ of length 20 cm and resistance 0.1 Omega rests on two smooth parallel rqails of negligible resistance AA' and CC'. It can slide on the rails and the arrangement is positioned betwaeen the poles of a permanent magnet producing unifrom magnetic field B=0.4 T. The rails, the rod and the magneitc field are in the three mutually perpendicular directions as shown in the figure. if hte ends A and C of the rails are short cicuited, find the External force required to move the rod with uniform velocity v=10cm/s.