A 200 HP induction motor with a power factor of 0.65 and an efficiency of 90% is

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A 200 HP induction motor with a power factor of 0.65 and an efficiency of 90% is supplied by a three-phase Δ-connected 480 VAC source.

(a) Show the power triangle for the motor.

(b) Determine the impedance of the motor (assume three equal impedances, one per phase).

(c) Calculate the capacitance in kVAR required to improve the power factor of the motor to 0.85. Solve this question using power triangles.

(d) Compare the line currents of the motor before and after improving the power factor from 0.65 to 0.85.

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