For a load drawing 27.8 amps in a 120/240-volt three-phase panel, what is its power usage in kVA?

For a load drawing 27.8 amps in a 120/240-volt three-phase panel, what is its power usage in kVA?

• A. 11.556 kVA
• B. 13.438 kVA
• C. 8.48 kVA
• D. 59.2 kVA

Answer: (A)

To calculate the power usage in kilovolt-amperes (kVA) for a load drawing 27.8 amps in a 120/240-volt three-phase panel, you can use the formula for three-phase power: \[ \text{kVA} = \frac{\sqrt{3} \times V_{LL} \times I}{1000} \] Where: - \( V_{LL} \) is the line-to-line voltage (in volts), - \( I \) is the current (in amps). In a 120/240-volt three-phase system, the line-to-line voltage is 240 volts. Plugging the values into the formula: \[ \text{kVA} = \frac{\sqrt{3} \times 240 \times 27.8}{1000} \] Calculating this step-by-step: 1. Find \( \sqrt{3} \), which is approximately 1.732. 2. Multiply \( 240 \times 27.8 = 6672 \). 3. Then, multiply that by \( \sqrt{3} \): \( 1.732 \times 6672 \approx 11549.184 \). 4. Finally,

To calculate the power usage in kilovolt-amperes (kVA) for a load drawing 27.8 amps in a 120/240-volt three-phase panel, you can use the formula for three-phase power:

[ \text{kVA} = \frac{\sqrt{3} \times V_{LL} \times I}{1000} ]

Where:

• ( V_{LL} ) is the line-to-line voltage (in volts),

• ( I ) is the current (in amps).

In a 120/240-volt three-phase system, the line-to-line voltage is 240 volts. Plugging the values into the formula:

[ \text{kVA} = \frac{\sqrt{3} \times 240 \times 27.8}{1000} ]

Calculating this step-by-step:

1. Find ( \sqrt{3} ), which is approximately 1.732.

2. Multiply ( 240 \times 27.8 = 6672 ).

3. Then, multiply that by ( \sqrt{3} ): ( 1.732 \times 6672 \approx 11549.184 ).

4. Finally,