Problem 1: A four pole, 60Hz, 3-d synchronous generator has a rotor radius of 15 cm, a rotor length of 2.7m, and an air gap length of 2 mm. The rotor field winding consists of 1000 turns with a winding factor of 0.962. The Δ connected armature winding has 25 series turns per phase with a winding factor of 0.935. The generator is designed to achieve rated open-circuit voltage at a peak air-gap flux density of 1.25 T (a) At rated conditions, explicitly use Faraday's law of induction to find the sinusoidal voltage induced in single phase of an armature winding (b) Calculate the rated RMS and line-to-line terminal voltage. (i.e. Eaf and Eaf,LL) (c) Calculate the DC-field current required to achieve the rated operating conditions above Problem 1: A four pole, 60Hz, 3-d synchronous generator has a rotor radius of 15 cm, a rotor length of 2.7m, and an air gap length of 2 mm. The rotor field winding consists of 1000 turns with a winding factor of 0.962. The Δ connected armature winding has 25 series turns per phase with a winding factor of 0.935. The generator is designed to achieve rated open-circuit voltage at a peak air-gap flux density of 1.25 T (a) At rated conditions, explicitly use Faraday's law of induction to find the sinusoidal voltage induced in single phase of an armature winding (b) Calculate the rated RMS and line-to-line terminal voltage. (i.e. Eaf and Eaf,LL) (c) Calculate the DC-field current required to achieve the rated operating conditions above