kW to amps formula is used to calculate amperes from kilowatts. We can calculate current in DC, Single phase, two-phase, and three-phase circuits when the kilowatts are known.
where kW = kilowatt
E = voltage
PF = Power factor
DC kilowatts to Amps Formula
The equation used to calculating dc current from kilowatts is:
I = (kW * 1000)/E
Example 1: A 100 kW, 400 V dc generator powers a conveyor belt in a cement power plant. Calculate the amps.
Solution: I = (100 * 1000) / 400 = 250 Amps
Single phase kilowatts to amps formula
Single phase amps is a ratio of kilowatts * 1000 and voltage times PF:
I = (kW * 1000)/(E * PF)
Example 2: A 10 kW, 100 single phase motor operates at a PF of 85%. Calculate the single phase current.
Solution: I = (10 * 1000) / (100 * 0.85) = 117.64 Amps
Two-phase AC kilowatts to amps formula
Two-phase AC kilowatts is a ratio of kilowatts * 1000 to E * PF * 2.
I = (kW * 1000)/(E * PF * 2)
Example 3: A two-phase 20 kW, 250 V circuit is working at 0.88 PF. Find the amps.
Solution: I = (20 * 1000) / (250 * 0.88 * 2) = 45 Amps
Three-phase AC kilowatts to amps formula
Three-phase AC kilowatts is ratio of kilowatts * 1000 to E * PF * 1.73. Where 1.73 is an approximate for √3.
I = (kW * 1000)/(E * PF * 1.73)
Example 4: A three-phase 18 kW, 440 V circuit powers load at the power factor of 0.9. Calculate the amps.
Solution: I = (18 * 1000) / (440 * 0.9 * 1.73) = 26.27 Amps