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(b) A separately excited DC motor has four major power loss components: the armature winding loss = 1 , the field winding loss P.-IjRf, the core loss P =x,fo and the friction & windage loss Pr=X,o, where 1。is the armature current, R, is the armature resistance, I, is the field current, X, is the field resistance, ω 1s the motor speed, K, and Km are proportional constants. Derive the condition for this motor that can achieve the maximum efficiency at a given motor torque T and motor speed [12 marks]Thx!

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