The magnetic flux through a coil having a single turn varies according to the relation φ = (5t2 + 4t + 10) Wb. Determine the impedance of the coil if the induced current through the coil is 5 A at t = 2 seconds.

A rectangular wire loop of sides 8 cm and 3 cm with a small cut is moving out of a region of uniform magnetic field of magnitude 0.3 T directed normal to the plane of the loop. The emf developed across the cut, if the velocity of the loop is 2 cm s-1 in a direction normal to the shorter side of the loop, will be:

The mutual inductance between two coils is 2 H. If the current in one coil changes from 0 to 10 A in 0.5 s, find the magnitude of the induced EMF in the second coil.