Relation Between kVA And kW

kVA and kW are the units measuring power under the International System of Units. Kilovolt-Amps, in short kVA, is the unit measuring apparent power and Kilo Watt, in short kW, is the unit measuring real power. The relation between kVA and kW is proportional.

kVA And kW

The relation between kVA and kW is mathematically given as-

Where,

• kW is the unit measuring real power.
• kVA is the unit measuring apparent power.
• PF is the Power Factor.

kW is directly proportional to kVA, which means that-

• When kW increases, proportionately, kVA will also increase.
• When kW decreases, proportionately, kVA will also decrease.
• When kVA decreases, kW will also decrease.
• When kVA increases, kW will also increase.

Relation Between kVA And kW for AC and DC circuits

Power of AC and Power of DC varies as the relation between kVA and kW varies from alternating current circuits to direct current circuits. It can be mathematically written as follows-

kVA to kW Calculations

Both the units of power, kVA and kW, are important in physics to solve many problems. The kVA to kW conversion formula is given by-

• \(\begin{array}{l}kVA=\frac{kW}{PF}\end{array} \)
• Example: If the Power Factor is 0.5, and kW is 120 then
  \(\begin{array}{l}kVA=\frac{120}{0.5} = 240\,\,kVA\end{array} \)

kW to kVA Calculations

The formula to convert kW to kVA is given by

• \(\begin{array}{l}kW = kVA\times PF\end{array} \)
• Example: If the Power Factor is 0.5, and kVA is 120 then
  \(\begin{array}{l}kW=120\,\,kVA\times 0.5 = 60\,\,kW\end{array} \)

Hope you understood the relation between kW and kVA of electric current for alternating current(AC)circuits and Direct Current(DC) circuit.

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