How much full load real power in kilowatts does a three-phase generator with a terminal voltage of 600 V and a current of 200 A at 80% power factor deliver?

How much full load real power in kilowatts does a three-phase generator with a terminal voltage of 600 V and a current of 200 A at 80% power factor deliver?

• A. 166.08 kW
• B. 200.00 kW
• C. 150.00 kW
• D. 180.00 kW

Answer: (A)

To find the full load real power delivered by a three-phase generator, the formula used for calculating real power (P) in kilowatts is: \[ P (kW) = \sqrt{3} \times V \times I \times \text{Power Factor} \] Where: - \( V \) is the line-to-line voltage in volts - \( I \) is the current in amperes - The power factor accounts for the phase difference between the voltage and current. In this case: - The terminal voltage \( V = 600 \, \text{V} \) - The current \( I = 200 \, \text{A} \) - The power factor = 0.80 (which is 80%) Plugging in these values: 1. Calculate the full load real power using the formula: \[ P = \sqrt{3} \times 600 \times 200 \times 0.80 \] Calculating step-by-step: - First, calculate \( \sqrt{3} \) (approximately 1.732). - Then, multiply: - \( 600 \times 200 = 120,000 \) - Then, multiply by the

To find the full load real power delivered by a three-phase generator, the formula used for calculating real power (P) in kilowatts is:

[ P (kW) = \sqrt{3} \times V \times I \times \text{Power Factor} ]

Where:

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

• ( I ) is the current in amperes

• The power factor accounts for the phase difference between the voltage and current.

In this case:

• The terminal voltage ( V = 600 , \text{V} )

• The current ( I = 200 , \text{A} )

• The power factor = 0.80 (which is 80%)

Plugging in these values:

1. Calculate the full load real power using the formula:

[ P = \sqrt{3} \times 600 \times 200 \times 0.80 ]

Calculating step-by-step:

• First, calculate ( \sqrt{3} ) (approximately 1.732).

• Then, multiply:

• ( 600 \times 200 = 120,000 )

• Then, multiply by the