A circular wire coil consists of 100 turns and is wound tightly around a very long iron cylinder with a radius of 2.5 cm and a relative permeability of 2200. The loop has a current of 7.5 A in it. Determine the magnetic field strength produced by the coil
(a) At the center of the coil and
(b) At a location on the central axis of the iron cylinder 5.0 cm above the center of the circular coil.