QuestionMay 23, 2025

19. A 2-phase, 4-wire circuit with a voltage of 220 volts is connected to a group of motors that requires 85 amperes with a 0.80 power factor. What is the load in kilowatts? __

19. A 2-phase, 4-wire circuit with a voltage of 220 volts is connected to a group of motors that requires 85 amperes with a 0.80 power factor. What is the load in kilowatts? __
19. A 2-phase, 4-wire circuit with a voltage of 220 volts is connected to
a group of motors that requires 85 amperes with a 0.80 power factor.
What is the load in kilowatts?
__

Solution
4.5(334 votes)

Answer

14.96 kW Explanation 1. Calculate Apparent Power (S) Use the formula S = V \cdot I, where V = 220 volts and I = 85 amperes. So, S = 220 \times 85 = 18700 VA. 2. Calculate Real Power (P) Use the formula P = S \cdot \text{power factor}. Here, \text{power factor} = 0.80. Thus, P = 18700 \times 0.80 = 14960 watts. 3. Convert Watts to Kilowatts Divide by 1000 to convert watts to kilowatts: P = \frac{14960}{1000} = 14.96 kW.

Explanation

1. Calculate Apparent Power (S)<br /> Use the formula $S = V \cdot I$, where $V = 220$ volts and $I = 85$ amperes. So, $S = 220 \times 85 = 18700$ VA.<br /><br />2. Calculate Real Power (P)<br /> Use the formula $P = S \cdot \text{power factor}$. Here, $\text{power factor} = 0.80$. Thus, $P = 18700 \times 0.80 = 14960$ watts.<br /><br />3. Convert Watts to Kilowatts<br /> Divide by 1000 to convert watts to kilowatts: $P = \frac{14960}{1000} = 14.96$ kW.
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