Please answer number 2 (a-d )and show the solution. Thank you!

2. A 500-hp 600-volt compound motors operates at a speed of 495 rpm at full load. If the flux per poleis 9.1 x 10 maxwells and the armature resistance is 0.015 ohm. Calculate: a.) the counter emf; b.) the armature current .( Assume a value of k = 1.3 x 10-7 and a brush drop of 5 volts); c.) If the load on the motor is increased so that the armature current rises to 800 A, at what speed will the motor operate, assuming that the flux inrceases 9 percent; d.) When the load is removed, the speed rises to 560 rpm. What is the percent regulation