What is the kVA rating used by a three-phase load that draws 27.8 amps on a 120/240-volt, three-phase panelboard?

To determine the kVA rating for a three-phase load that draws 27.8 amps on a 120/240-volt panelboard, you first need to understand how to calculate kVA in a three-phase system.

The formula to calculate kVA for a three-phase load is as follows:

[ kVA = \frac{Voltage \times Current \times \sqrt{3}}{1000} ]

In this case, you have a voltage of 240 volts (the line-to-line voltage in this configuration) and a current of 27.8 amps. Plugging these numbers into the formula gives:

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

Calculating ( \sqrt{3} ) gives approximately 1.732. Therefore,

[ kVA = \frac{240 \times 27.8 \times 1.732}{1000} ]

Calculating this step-by-step:

1. ( 240 \times 27.8 \approx 6672 )

2. ( 6672 \times 1.732 \approx