Convert kWh to amps from energy, voltage and run time for AC or DC circuits, or convert kW to amps directly, with amp-hours and real power shown.

AC: RMS voltage; three-phase: line-to-line voltage.

kWh only becomes amps over a time period; over 1 hour, kWh equals average kW.

Optional settings

Calculator Functions

FunctionWhat it doesWhat it requires
Current from energy and timeFinds the steady current in amps that uses a given amount of energy over a given run timeRequires the energy (Wh, kWh, MWh or GWh), the voltage and the run time
Current from power (kW to amps)Converts real power in kW to current in amps, with no run time involvedRequires the real power (W, kW or MW) and the voltage
Energy from current and timeFinds the kWh used by a load that draws a steady current for a given timeRequires the current, the voltage and the run time
Voltage from energy and timeFinds the voltage at which a given current delivers a given amount of energy in a given timeRequires the energy, the current and the run time
Run time from energy and currentFinds how many hours a steady current takes to use a given amount of energyRequires the energy, the voltage and the current

Every function also asks for the electrical system: AC single phase, DC or AC balanced three phase. The two AC choices add a true power factor, which is 1 unless changed. Run time can be entered in hours, minutes or seconds. Each result with a run time also shows the real power in kW and the charge in amp-hours.

kWh to Amps Formulas

I = 1,000 × E ÷
(F × V × PF × t)
ICurrent (A). For AC this is the RMS line current
EEnergy (kWh)
F1 for DC and single-phase AC, √3 for balanced three-phase AC [1]
VVoltage (V). For AC this is the RMS voltage, and for three phase it is the line-to-line voltage [1]
PFTrue power factor as a decimal, 1 for DC
tRun time (hours)

A kilowatt-hour is one kilowatt sustained for one hour [2], so E ÷ t is the average power in kW. Multiplying by 1,000 gives watts, and dividing by the voltage terms gives amps. The three-phase form matches the U.S. Department of Energy equation for three-phase power, kW = V × I × PF × √3 ÷ 1,000 [1].

Current from energy and time

This is the main formula. 10 kWh used over 5 hours on a 240 V single-phase supply at a power factor of 1 is 1,000 × 10 ÷ (240 × 5) = 8.33 A. The same energy and time on a 400 V three-phase supply at a power factor of 0.85 is 1,000 × 10 ÷ (1.732 × 400 × 0.85 × 5) = 3.40 A.

Current from power (kW to amps)

I = 1,000 × P ÷
(F × V × PF)

P is the real power in kW. Power is already a rate, so no run time is needed: 7.2 kW at 240 V single phase and a power factor of 1 draws 30 A. The result also shows the apparent power in kVA, which is F × V × I ÷ 1,000.

Energy from current and time

E = F × V × I × PF × t
÷ 1,000

This is the main formula solved for energy. A 15 A load on a 120 V single-phase circuit at a power factor of 1 uses 120 × 15 × 4 ÷ 1,000 = 7.2 kWh in 4 hours.

Voltage from energy and time

V = 1,000 × E ÷
(F × I × PF × t)

The main formula solved for voltage. 2.4 kWh delivered by 10 A in 2 hours on a single-phase or DC supply at a power factor of 1 means 120 V.

Run time from energy and current

t = 1,000 × E ÷
(F × V × I × PF)

The main formula solved for time. A 20 A load at 240 V single phase and a power factor of 1 takes 1,000 × 12 ÷ (240 × 20) = 2.5 hours to use 12 kWh.

kWh to amp-hours

Ah = I × t = 1,000 × E ÷ V

Amp-hours measure charge, which is current multiplied by hours. For a DC battery the run time cancels out, so 1.2 kWh at 12 V is 100 Ah however fast it is drawn. The calculator lists this figure as Charge (amp-hours) under each result that has a run time.

How to Convert kWh to Amps

kWh measures energy and amps measure a rate of flow, so the conversion needs two more facts: the voltage and how long the energy was used over. Divide the kWh by the hours to get average kW, multiply by 1,000 to get watts, then divide by the volts. For AC, also divide by the power factor, and for three phase by √3. Over exactly 1 hour, kWh and average kW are the same number, so 1 kWh in 1 hour at 240 V is 4.167 A.

kWh in 1 hourAmps at 120 VAmps at 220 VAmps at 230 VAmps at 240 V
0.54.1672.2732.1742.083
18.3334.5454.3484.167
216.6679.0918.6968.333
32513.63613.04312.5
541.66722.72721.73920.833
7.562.534.09132.60931.25
1083.33345.45543.47841.667
1512568.18265.21762.5
20166.66790.90986.95783.333
50416.667227.273217.391208.333

The table is for single-phase AC at a power factor of 1, or DC, with the energy used evenly over 1 hour. For energy spread over a longer period, divide the amps by the number of hours: 10 kWh over 24 hours at 240 V is 41.667 ÷ 24 = 1.736 A.

Limits of This Estimate

  • The result is the average current of a steady load. An energy total cannot show peak current, motor inrush or how the load varied during the period.
  • It is not an electrical installation design. Breaker, cable and equipment ratings need the actual load measurements and a qualified designer.
  • The three-phase option assumes a balanced load, with line-to-line voltage and the same current in each line [1].
  • A power factor of 1 suits heaters and other resistive loads. Motors and electronic loads draw more current for the same kWh, so use their measured power factor.

Sources

  1. U.S. Department of Energy, Determining Electric Motor Load and Efficiency, Equation 1: three-phase power from line-to-line RMS voltage, RMS current and power factor
  2. U.S. Energy Information Administration, Measuring electricity: a kilowatt-hour as one kilowatt for one hour