How much is the Kw power load for a circuit with a 13,200 system voltage, 30 amps, and a power factor of 85%?

How much is the Kw power load for a circuit with a 13,200 system voltage, 30 amps, and a power factor of 85%?

• A. 583 Kw
• B. 600 Kw
• C. 650 Kw
• D. 500 Kw

Answer: (A)

To determine the kilowatt (kW) power load for the circuit, you can use the formula for apparent power in kilovolt-amperes (kVA) and then convert it to kW by taking into account the power factor. The apparent power (kVA) is calculated using the formula: \[ \text{kVA} = \frac{\text{Voltage (V)} \times \text{Current (I)}}{1000} \] In this case, the system voltage is 13,200 volts and the current is 30 amps. Plugging in these values: \[ \text{kVA} = \frac{13,200 \, \text{V} \times 30 \, \text{A}}{1000} = 396 \, \text{kVA} \] Next, to find the real power in kW, we multiply the apparent power by the power factor. The power factor is given as 85%, which can be converted to a decimal by dividing by 100 (0.85). \[ \text{kW} = \text{kVA} \times \text{Power Factor} \] Substituting the values we have: \[

To determine the kilowatt (kW) power load for the circuit, you can use the formula for apparent power in kilovolt-amperes (kVA) and then convert it to kW by taking into account the power factor.

The apparent power (kVA) is calculated using the formula:

[

\text{kVA} = \frac{\text{Voltage (V)} \times \text{Current (I)}}{1000}

]

In this case, the system voltage is 13,200 volts and the current is 30 amps. Plugging in these values:

[

\text{kVA} = \frac{13,200 , \text{V} \times 30 , \text{A}}{1000} = 396 , \text{kVA}

]

Next, to find the real power in kW, we multiply the apparent power by the power factor. The power factor is given as 85%, which can be converted to a decimal by dividing by 100 (0.85).

[

\text{kW} = \text{kVA} \times \text{Power Factor}

]

Substituting the values we have:

[