g A motor driving a 1000-W water pump has a power factor of 0.80 lagging; a second motor driving a 600-W water pump has a power factor of 0.60 lagging assuming the motors are working under 120- Vrms, 60-HZ AC. (a) When both motors working together what is combined power factor

complete Question

A motor driving a 1000-W water pump has a power factor of 0.80 lagging; a second motor driving a 600-W water pump has a power factor of 0.60 lagging assuming the motors are working under 120-Vrms, 60-HZAC. When both motors working together what is the combined power factor? If a 200-μF capacitor is connected to the above system (two motors) what is the new combined power factor?

Explanation:

First motor Power

First motor Power factor

Second motor Power

Second motor Power factor p.f=0.60

Voltage

Frequency

Capacitor

Generally power in Var is given as

For First Motor

For Second Motor

Generally the equation for The Reactive Power is mathematically given by

Where

Therefore

Giving

Total Power Drawn by Supply

Therefore

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explanation: