A two pole machine has two mutually coupled coils. The first coil, located on the stator, is held fixed, and the second coil, on the rotor, is free to rotate. The self-inductance of each coil is constant whereas the mutual inductance is given by; L = a cos e Where a is a constant and is the angle between the coils axes; The currents flowing in the stator and rotor coils are constant. The torque delivered from this system at 0=45 is equal to 8 N.m. Find the change in the torque produced in each of the following cases (if there is any changes): (1) e increases by 90 the current in the rotor is doubled the number of turns of the rotor coil is doubled whereas that of the stator coil is halved