If a circuit draws 60 amps from a 480 V source with a power factor of 90%, what would be the output in kilowatts?

If a circuit draws 60 amps from a 480 V source with a power factor of 90%, what would be the output in kilowatts?

• A. 36 kW
• B. 30 kW
• C. 54 kW
• D. 26 kW

Answer: (D)

To determine the output in kilowatts when dealing with a circuit that draws a certain amount of current from a given voltage source and includes a power factor, you can use the formula: \[ \text{Real Power (P in kW)} = \frac{V \times I \times \text{Power Factor}}{1000} \] Where: - \( V \) is the voltage in volts, - \( I \) is the current in amps, - The power factor is the decimal equivalent of the percentage represented (for 90%, it would be 0.9). In this scenario, the circuit draws 60 amps from a 480 V source with a power factor of 90%. Plugging in the values: \[ P = \frac{480 \times 60 \times 0.9}{1000} \] Calculating this step-by-step: 1. Calculate the product of voltage and current: \( 480 \times 60 = 28800 \) 2. Multiply the result by the power factor: \( 28800 \times 0.9 = 25920 \) 3. Convert to kilowatts by dividing by 1000: \( \frac{

To determine the output in kilowatts when dealing with a circuit that draws a certain amount of current from a given voltage source and includes a power factor, you can use the formula:

[ \text{Real Power (P in kW)} = \frac{V \times I \times \text{Power Factor}}{1000} ]

Where:

• ( V ) is the voltage in volts,

• ( I ) is the current in amps,

• The power factor is the decimal equivalent of the percentage represented (for 90%, it would be 0.9).

In this scenario, the circuit draws 60 amps from a 480 V source with a power factor of 90%. Plugging in the values:

[ P = \frac{480 \times 60 \times 0.9}{1000} ]

Calculating this step-by-step:

1. Calculate the product of voltage and current:

( 480 \times 60 = 28800 )

2. Multiply the result by the power factor:

( 28800 \times 0.9 = 25920 )

3. Convert to kilowatts by dividing by 1000:

( \frac{