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.
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Calculator Functions
| Function | What it does | What it requires |
|---|---|---|
| Current from energy and time | Finds the steady current in amps that uses a given amount of energy over a given run time | Requires 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 involved | Requires the real power (W, kW or MW) and the voltage |
| Energy from current and time | Finds the kWh used by a load that draws a steady current for a given time | Requires the current, the voltage and the run time |
| Voltage from energy and time | Finds the voltage at which a given current delivers a given amount of energy in a given time | Requires the energy, the current and the run time |
| Run time from energy and current | Finds how many hours a steady current takes to use a given amount of energy | Requires 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
(F × V × PF × t)
| I | Current (A). For AC this is the RMS line current |
| E | Energy (kWh) |
| F | 1 for DC and single-phase AC, √3 for balanced three-phase AC [1] |
| V | Voltage (V). For AC this is the RMS voltage, and for three phase it is the line-to-line voltage [1] |
| PF | True power factor as a decimal, 1 for DC |
| t | Run 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)
(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
÷ 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
(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
(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
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 hour | Amps at 120 V | Amps at 220 V | Amps at 230 V | Amps at 240 V |
|---|---|---|---|---|
| 0.5 | 4.167 | 2.273 | 2.174 | 2.083 |
| 1 | 8.333 | 4.545 | 4.348 | 4.167 |
| 2 | 16.667 | 9.091 | 8.696 | 8.333 |
| 3 | 25 | 13.636 | 13.043 | 12.5 |
| 5 | 41.667 | 22.727 | 21.739 | 20.833 |
| 7.5 | 62.5 | 34.091 | 32.609 | 31.25 |
| 10 | 83.333 | 45.455 | 43.478 | 41.667 |
| 15 | 125 | 68.182 | 65.217 | 62.5 |
| 20 | 166.667 | 90.909 | 86.957 | 83.333 |
| 50 | 416.667 | 227.273 | 217.391 | 208.333 |
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
- 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
- U.S. Energy Information Administration, Measuring electricity: a kilowatt-hour as one kilowatt for one hour
