A synchronous motor capable of operating with a leading power factor draws 10 kW from a transformer

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A synchronous motor capable of operating with a leading power factor draws 10 kW from a transformer while driving a fan. The remainder load on the transformer consists of 100 kW with 0.80 lagging power factor. Determine

(a) The reactive power needed from the motor for the overall power factor to be 0.95 lagging

(b) The power factor of the synchronous motor for the overall power to be 0.90 lagging

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