kVA to Amperage Calculator - Current from kVA and Volts
Use this kVA to amperage calculator with apparent kVA, RMS voltage, and a current-type selector to find the line current in amperes for any AC load.
kVA to Amperage Calculator
Results
What Is the KVA to Amperage Calculator?
A KVA to amperage calculator turns the apparent power in kilovolt-amperes and the RMS voltage in volts into the line current in amperes that a generator, UPS, transformer, or branch circuit carries, with a phase factor for single-phase, three-phase line-to-line, and three-phase line-to-neutral inputs.
- • Sizing a breaker or wire from a generator or UPS nameplate: Take the kVA rating printed on a 50 kVA generator and read off the line current at 400 V three-phase line-to-line to pick a breaker.
- • Working with three-phase industrial mains: Convert 400 V line-to-line or 230 V line-to-neutral industrial measurements into the line current the same kVA actually carries.
- • Cross-checking a clamp-meter reading: Convert the kVA figure from a nameplate into the line current you should see on a clamp meter at the same supply voltage.
Going from kVA to amps is the algebraic inverse of S = k * V * I / 1000, where k is the phase factor. The kVA to amperage calculator carries that inverse out for single-phase, three-phase line-to-line, and three-phase line-to-neutral inputs.
When the inputs are reversed and the apparent kVA has to be computed from a measured voltage and current instead of a nameplate, kVA Calculator carries out the same apparent, real, and reactive split from V and I.
How the KVA to Amperage Calculator Works
The calculator multiplies the apparent power in kVA by 1000 to convert it to volt-amperes, picks a phase factor k from the current-type selector, then divides the volt-amperes by k times the RMS voltage in volts to get the line current in amperes. The same inputs also produce the inverse kVA cross-check and the matching kW and kVAr from the optional power factor.
- S: Apparent power in kVA from the nameplate.
- V: RMS voltage in volts. Use V_LL for three-phase line-to-line or V_LN for three-phase line-to-neutral.
- k: Phase factor: 1, sqrt(3), or 3 for single-phase, three-phase line-to-line, or three-phase line-to-neutral.
- I: Line current in amperes, equal to 1000 * S / (k * V). Sets breaker and wire sizing.
The three current formulas share the shape I = 1000 * S / (k * V), with k = 1, sqrt(3), or 3. Picking the wrong k is the most common reason a kVA to amperage answer comes out wrong by 1.732 or 3 times.
10 kVA at 240 V single-phase, PF 0.85
Single-phase. Apparent power: 10 kVA. Voltage: 240 V. Power factor: 0.85.
k = 1. I = 1000 * 10 / (1 * 240) = 41.67 A. P = 8.5 kW, Q about 5.27 kVAr.
41.67 A, 8.5 kW, 5.27 kVAr.
Typical 10 kVA single-phase workshop service at 240 V. A 50 A breaker covers the line current.
50 kVA at 400 V three-phase line-to-line, PF 0.9
Three-phase line-to-line. Apparent power: 50 kVA. Voltage: 400 V. Power factor: 0.9.
k = sqrt(3) about 1.732. I = 1000 * 50 / (1.732 * 400) about 72.17 A. P = 45 kW, Q about 21.79 kVAr.
72.17 A, 45 kW, 21.79 kVAr.
European 50 kVA three-phase generator at 400 V. An 80 A three-pole breaker covers the line current.
According to Wikipedia - AC Power, the apparent power in an AC circuit equals the product of RMS voltage and RMS current, so rearranging gives I_rms = S / V_rms in single-phase and the real power is the apparent power multiplied by the cosine of the phase angle
According to Wikipedia - Three-Phase Electric Power, balanced three-phase apparent power is S = sqrt(3) * V_LL * I, so the line current in amperes is I = 1000 * S_kVA / (sqrt(3) * V_LL)
When the power factor is the unknown and you have to back it out from real kW and apparent kVA, Power Factor Calculator returns PF, the phase angle, and the reactive kVAr from the same two inputs you see here.
Key Concepts Explained
Four ideas cover most kVA to amperage conversions in physics, motor sizing, and panel-feed work.
Apparent power and the inverse S = V * I
Apparent power S in kVA is the product of RMS voltage, RMS current, and the phase factor divided by 1000. Inverting the product gives I = 1000 * S / (k * V).
Phase factor k for single- and three-phase modes
The phase factor is 1 for single-phase, sqrt(3) for three-phase line-to-line, and 3 for three-phase line-to-neutral.
RMS voltage and current
AC meters report RMS values that represent the equivalent heating effect of the alternating waveform, and the same RMS V and I appear in S = V * I and in I = S / V.
Power factor and the kW / kVAr split
The same apparent kVA splits into real kW = S * PF and reactive kVAr = S * sqrt(1 - PF^2), so the optional PF input reports the matching kW and kVAr without changing the line current.
These four ideas carry over to any kVA to amperage conversion, from a residential service-entrance calculation to a three-phase industrial panel feed.
When the load is rated in real watts rather than apparent kVA and the power factor is 1.0, Watts to Amps Converter returns the same line current from watts and volts without needing the apparent-power step.
How to Use the KVA to Amperage Calculator
Five steps from a nameplate kVA and a supply voltage to a complete current answer in amperes, with the matching kW and kVAr on the same screen.
- 1 Pick the current type: Choose single-phase for 120 V or 240 V household circuits, three-phase line-to-line for 400 V industrial mains, or three-phase line-to-neutral for phase voltage only.
- 2 Enter the apparent power in kVA: Type the nameplate kVA from the generator, UPS, transformer, or panel. The default 10 kVA matches a typical small workshop service.
- 3 Enter the RMS voltage in volts: Type the supply voltage from the meter or nameplate. Use V_LL for three-phase line-to-line or V_LN for three-phase line-to-neutral.
- 4 Enter the power factor: Type a power factor between 0 and 1. Use 1.0 for resistive loads, 0.85 to 0.95 for typical induction motors.
- 5 Read the results: The result panel shows the line current in amperes, the real kW, the reactive kVAr, the cross-check kVA, the phase factor k, the phase angle, and the power-factor loss percentage.
Practical example: a 10 kVA single-phase service at 240 V draws 41.67 A. Type 10 kVA, 240 V, single-phase, and PF 0.85, and the calculator returns 41.67 A, 8.5 kW, 5.27 kVAr, and a cross-check of 10 kVA, matching the input.
When the line current feeds a branch circuit and you need a running and starting load in amps for the same voltage and power factor, Electrical Load Calculator returns the breaker-friendly load figures from the same supply inputs.
Benefits of Using This Calculator
A kVA to amperage workflow catches the cases where a nameplate figure in kVA hides a real current the wiring carries.
- • Three current-type modes in one tool: Switch between single-phase, three-phase line-to-line, and three-phase line-to-neutral without retyping values.
- • Inverse cross-check on every result: The cross-check row recomputes the apparent kVA from the line current using S = k * V * I / 1000, so the algebra is confirmed in one click.
- • Full apparent, real, and reactive split: Real kW and reactive kVAr come from the same apparent kVA and the power factor, so the line current and the energy-billing kW appear on the same screen.
- • Input validation with status notes: Zero voltage, zero kVA, and out-of-range power factors surface clear status notes so the line current does not silently stay at 0 A.
- • Cross-validation-friendly defaults: The default 10 kVA at 240 V single-phase returns 41.67 A, matching the textbook example and the upstream kVA calculator's reverse path from 1.2 kVA to 10 A.
The same kVA, kW, kVAr, and A split is what you see on a generator nameplate and on a utility tariff as 'kW billed' versus 'kVA demand'.
When you also need the resistance of the wiring or the resistive part of the load to sanity-check the voltage drop across the run, Ohm's Law Calculator returns V, I, R, and P for any two of the four so the line current from this calculator can be cross-checked.
Factors That Affect Your Results
Five factors shape the line current on the result panel, plus two limitations worth knowing.
Phase factor and current-type selector
Switching from single-phase to three-phase line-to-line divides the line current by sqrt(3).
RMS voltage accuracy
Line current scales inversely with V. A 5% drop in supply voltage becomes a 5% rise in line current.
Apparent-power nameplate accuracy
Generators and UPS systems are rated in kVA at a reference PF and temperature. Operating outside those references de-rates the effective kVA.
Harmonics and non-linear loads
Rectifier loads, LED drivers, and VFDs draw non-sinusoidal current, so the displacement current can run lower than the IEEE 1459 true RMS current.
Unbalanced three-phase loads
The three-phase formula assumes balanced phase currents. A loaded phase carries more current than the balanced-load estimate.
- • The formula assumes sinusoidal voltage and current at a single fundamental frequency. Distorted waveforms from large rectifier banks or VFDs need a power-quality meter.
- • Real three-phase installations are rarely perfectly balanced, so the I = 1000 * S / (sqrt(3) * V_LL) shortcut is a planning estimate. For final sizing, sum the per-phase current from each clamp-meter reading.
In teaching, the single-frequency, balanced-load assumption matches textbook examples. In the field, confirm with a clamp-meter before specifying a breaker.
According to OpenStax University Physics Volume 2, Section 15.4 - Power in an AC Circuit, average AC power equals rms current times rms voltage times cos(phi), so the same apparent kVA splits into real kW and reactive kVAr through the power factor while the line current in amperes stays the same
When the line current from this calculator feeds a standby or prime generator and you need a sizing recommendation in kVA and kW for a target load, Generator Size Calculator turns the same voltage, kVA, and power factor into a recommended generator rating.
Frequently Asked Questions
Q: How do I convert kVA to amps single phase?
A: Multiply the apparent power in kVA by 1000 to convert it to volt-amperes, then divide by the RMS voltage in volts. For a 10 kVA single-phase service at 240 V the line current is 1000 * 10 / 240 = 41.67 A. The single-phase formula is I = 1000 * S / V with the phase factor k = 1.
Q: What is the three-phase kVA to amps formula?
A: For a balanced three-phase line-to-line connection the formula is I = 1000 * S / (sqrt(3) * V_LL). For a line-to-neutral connection it is I = 1000 * S / (3 * V_LN). The two are equivalent because V_LL = sqrt(3) * V_LN in a balanced system, so the sqrt(3) and 3 factors appear depending on which voltage you measured.
Q: How many amps is 10 kVA at 240 volts?
A: At 240 V single-phase, 10 kVA returns 1000 * 10 / 240 = 41.67 A. A 50 A breaker with 6 AWG copper conductors covers the line current with headroom, and the same 10 kVA at 120 V would return 83.33 A, the reason a 10 kVA service at 120 V needs a much larger conductor than the same service at 240 V.
Q: Why do I need a different formula for three-phase kVA to amps?
A: Three-phase circuits deliver apparent power through three conductors, so the line current for the same kVA is 1.732 times lower than the single-phase current. The phase factor k = sqrt(3) for line-to-line or 3 for line-to-neutral accounts for that extra capacity, and picking the wrong k changes the line current by a factor of 1.732 or 3.
Q: How do I find the current drawn by a 50 kVA generator?
A: Take the nameplate kVA and the supply voltage, then plug them into I = 1000 * S / (k * V). A 50 kVA generator at 400 V three-phase line-to-line returns 1000 * 50 / (1.732 * 400) = 72.17 A, and the same 50 kVA at 240 V single-phase returns 208.33 A, the standard kA figure you see on a generator spec sheet.
Q: Does the power factor change kVA to amps?
A: No, the line current in amperes is set by the apparent kVA and the supply voltage, not by the power factor. The same 10 kVA at 240 V single-phase returns 41.67 A at PF 1.0 and at PF 0.85. The power factor only changes the split of the same kVA into real kW and reactive kVAr, not the line current the conductor has to carry.