How to convert apparent power in kilovolt-amps (kVA) to electric current in amps (A).

You can calculate amps from kilovolt-amps and volts, but you can't convert kilovolt-amps to amps since kilovolt-amps and amps units do not measure the same quantity.

The phase current I in amps is equal to 1000 times the apparent power S in kilovolt-amps, divided by the RMS voltage V in volts:

*I*_{(A)} = 1000 × *S*_{(kVA)}* */ *V*_{(V)}

So amps are equal to 1000 times kilovolt-amps divided by volts.

amps = 1000 × kVA / volts

or

A = 1000 ⋅ kVA / V

Question: What is the phase current in amps when the apparent power is 3 kVA and the RMS voltage supply is 110 volts?

Solution:

*I* = 1000 × 3kVA / 110V = 27.27A

The phase current I in amps is equal to 1000 times the apparent power S in kilovolt-amps, divided by the square root of 3 times the line to line RMS voltage V in volts:

*I*_{(A)} = 1000 × *S*_{(kVA)}* */ (*√*3
× *V*_{L-L(V)}* *)

So amps are equal to 1000 times kilovolt-amps divided by the square root of 3 times volts.

amps = 1000 × kVA / (*√*3
× volts)

or

A = 1000 ⋅ kVA / (*√*3
× V)

Question: What is the phase current in amps when the apparent power is 3 kVA and the line to line RMS voltage supply is 190 volts?

Solution:

*I* = 1000 × 3kVA / (*√*3
× 190V) = 9.116A

The phase current I in amps is equal to 1000 times the apparent power S in kilovolt-amps, divided by 3 times the line to line RMS voltage V in volts:

*I*_{(A)} = 1000 × *S*_{(kVA)}* */ (3
× *V*_{L-N(V)}* *)

So amps are equal to 1000 times kilovolt-amps divided by 3 times volts.

amps = 1000 × kVA / (3 × volts)

or

A = 1000 ⋅ kVA / (3 × V)

Question: What is the phase current in amps when the apparent power is 3 kVA and the line to neutral RMS voltage supply is 120 volts?

Solution:

*I* = 1000 × 3kVA / (3
× 120V) = 8.333A

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