A long solenoid of cross-sectional area `5.0 cm^2` is wound with 25 turns of wire per centimetre. It is placed in the middle of a closely wrapped coil of 10 turns and radius 25 cm as shown.
(a) What is the emf induced in the coil when the current through the solenoid is decreasing at a rate `-0.20 A//s` ?
(b) What is the electric field induced in the coil?