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Question: two induction motors are connected in parallel with a synchronous...

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Two induction motors are connected in parallel with a synchronous motor in a 480 V circuit. The induction motors are identical with 50 hp at 0.65 power factor lagging. The synchronous motor has 20 kVA at variable power factor. Can the synchronous machine drive the whole system to a power factor of 0.9 leading? If so, what power factor would be needed in the synchronous motor? 5.

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