Please answer the question fully:

Question 1: (8 points) A permanent magnet DC motor is supplied from a 50V DC source. The motor has an armature resistance of 0.05. The motor develops a torque of 100Nm while at stand-still. a) Calculate the torque constant of the motor. (4 points) b) Calculate the no-load speed of the same motor when supplied from a 45 V DC source. The current drawn by the motor under no-load can be assumed to be zero (Rotational losses neglected). (4 points)