How to convert real power in watts (W) to apparent power in volt-amps (VA).
Watts to VA calculation formula
The apparent power S in volt-amps (VA) is equal to the real power P in watts (W), divided by the power factor PF:
S(VA) = P(W) / PF
So volt-amps are equal to watts divided by the power factor.
volt-amps = watts / PF
or
VA = W / PF
Example
What is the apparent power in volt-amps when the real power is 3000W and the power factor is 0.8?
Solution:
S = 3000W / 0.8 = 3750VA
Watt definition
Watt is the unit of power (symbol: W).
The watt unit is named after James Watt, the inventor of the steam engine.
One watt is defined as the energy consumption rate of one joule per second.
1W = 1J / 1s
One watt is also defined as the current flow of one ampere with voltage of one volt.
1W = 1V × 1A
Volt-ampere definition
A volt-ampere (SI symbol: V⋅A or V A; also VA) is the unit used for the apparent power in an electrical circuit. The apparent power equals the product of root mean square voltage and root mean square current. In direct current (DC) circuits, this product is equal to the real power in watts. Volt-amperes are usually used for analyzing alternating current (AC) circuits. The volt-ampere is dimensionally equivalent to the watt (in SI units, 1 V⋅A = 1 W). VA rating is most useful in rating wires and switches (and other power handling equipment) for inductive
For a simple electrical circuit running on direct current, the electrical current and voltage are constant. In that case, the real power (P, measured in watts) is the product of the electrical current (I, measured in amperes) and the voltage from one side of the circuit to the other (V, measured in volts):
P = I × V
However, for alternating current, both the voltage and current fluctuate over time. The apparent power (S, measured in volt-amperes) is calculated using the root mean square voltage (Vrms measured in volts) and root mean square current (Irms measured in amps):
S = Irms × Vrms
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