A solenoid 24.0cm long and with a cross-sectional area of 0.600cm^2 contains 420 turns of wire and carries a current of 75.0 A .
a) Calculate the magnetic field in the solenoid.
b) Calculate the energy density in the magnetic field if the solenoid is filled with air.
c) Calculate the total energy contained in the coil's magnetic field (assume the field is uniform).
d) Calculate the inductance of the solenoid.