A C-core is made of a cast steel core of length 15 cm and an air gap of length 2 mm with a uniform cross-sectional area of 4 cm^2. A coil of 1000 turns is wound on the core. (a) Calculate the current that should flow in the coil to establish a magnetic flux density of 1 T in the air gap. (b) Calculate the inductance of the magnetic circuit.