For a system voltage of 240, 3-phase with 150 amps and a power factor of 80%, what is the Kw power load?

For a system voltage of 240, 3-phase with 150 amps and a power factor of 80%, what is the Kw power load?

• A. 50 Kw
• B. 75 Kw
• C. 60 Kw
• D. 45 Kw

Answer: (A)

To calculate the kilowatt (kW) power load for a three-phase system, you can use the formula: \[ kW = \sqrt{3} \times V \times I \times PF \] where: - \( V \) is the line-to-line voltage (in volts), - \( I \) is the current (in amps), - \( PF \) is the power factor (as a decimal). For this question: - \( V = 240 \) volts - \( I = 150 \) amps - \( PF = 0.80 \) Plugging the values into the formula gives: \[ kW = \sqrt{3} \times 240 \times 150 \times 0.80 \] Calculating step-by-step: 1. Calculate \( \sqrt{3} \) which is approximately 1.732. 2. Now, multiplying this by the voltage: - \( 1.732 \times 240 \approx 415.68 \) 3. Next, multiply this result by the current: - \( 415.68 \times 150 \approx 62352 \) 4. Finally, apply the power factor:

To calculate the kilowatt (kW) power load for a three-phase system, you can use the formula:

[ kW = \sqrt{3} \times V \times I \times PF ]

where:

• ( V ) is the line-to-line voltage (in volts),

• ( I ) is the current (in amps),

• ( PF ) is the power factor (as a decimal).

For this question:

• ( V = 240 ) volts

• ( I = 150 ) amps

• ( PF = 0.80 )

Plugging the values into the formula gives:

[

kW = \sqrt{3} \times 240 \times 150 \times 0.80

]

Calculating step-by-step:

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

2. Now, multiplying this by the voltage:

• ( 1.732 \times 240 \approx 415.68 )

3. Next, multiply this result by the current:

• ( 415.68 \times 150 \approx 62352 )

4. Finally, apply the power factor: