What is the three-phase power in watts at 240 volts, 20 amperes, and 8% power factor?

To calculate the three-phase power in watts, you can use the formula for three-phase power, which is:

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

Where ( P ) is the power in watts, ( V ) is the voltage, ( I ) is the current in amperes, and ( \text{PF} ) is the power factor.

In this scenario, you have a voltage of 240 volts, a current of 20 amperes, and a power factor of 0.08 (which represents the 8% power factor).

First, let's plug in the values:

1. Calculate the square root of 3, which is approximately 1.732.

2. Multiply that by the voltage (240 V):

[ \sqrt{3} \times 240 = 1.732 \times 240 \approx 415.68 ]

3. Multiply this result by the current (20 A):

[ 415.68 \times 20 = 8313.6 ]

4. Finally, to account for the power factor, multiply by 0.08:

[ 8313