Amps to VA Calculator
Convert amps and volts to apparent power in VA or kVA for single-phase and three-phase circuits. Also convert VA back to amps. Fast and free.
Trust summary CVP VERIFIED · CVP protocol 1.0.0-proposed · Engineering assurance
- Input interpretation
- Enter values to calculate.
- Result
- —
- Assurance
- Engineering
- Declared partition coverage
- PASS · 5/5 declared partitions (amps-va-1phi, amps-va-3phi, va-amps, amps-kva, invalid-domain) · Matrix
- Known limitations
- PF optional for derived real power only — not applied to S
- Core CVP does not include live graph, viewport, or pointer interaction.
- Model
- Apparent power in VA or kVA from amps and volts, or amps from VA, for 1φ and balanced sinusoidal 3φ line-to-line AC; optional estimated real power from total power factor λ.
- Scope
- AC steady-state with RMS voltage and current magnitudes.
- Verification
- Engine tested · Source checked · v1.4.3 · CVP VERIFIED · CVP protocol 1.0.0-proposed · Engineering assurance· View Manifest · CVP overview · Specification
- Versions
- Calculation 1.4.3 · CVP protocol 1.0.0-proposed · Evidence 2026-09-10.cvp-bootstrap
- Verification revision
- 2026-09-10.cvp-bootstrap · 14/14 property · digest c57787417bc3
- Legacy regression
- 36/36 tests · Production surface contract 4/4
- Trust layers
- Verification VERIFIED · Production CURRENT · overall VERIFIED
- Reference
- O1 model · O2 expected_values · O2 numerical_behavior
- Interfaces
- PASS · UI (SSR) / REST / MCP
- Supplemental domain review
- Not performed
- Named expert review
- Not performed
- CVP suite
- 4/4 golden · 12/12 CVP boundary · 10/10 invalid · 14/14 property · 1/1 cross-interface · 4/4 CVP contract · Manifest
- Sources
- IEC 60050 — International Electrotechnical Vocabulary
- IEC 60050 — International Electrotechnical Vocabulary
- IEEE Std 1459-2025
- BIPM SI Brochure (9th edition, version 4.01)
- Evidence
- 9 legacy golden · 13 legacy boundary · legacy regression suite · 4/4 oracle-backed golden · 10/10 invalid · Artifact integrity PASS
- Semantic contract
- PASS
Full verification
Formulas
Core equations used by this calculator.
How to use
Choose Amps → VA, VA → Amps, or Amps → kVA
Forward modes need current; reverse needs apparent power in VA.
Enter current (or VA) and voltage
Voltage must be greater than zero. For three-phase, enter balanced sinusoidal line-to-line volts.
Optional: estimate real power
Open Advanced and enter total power factor λ in [0, 1]. Not required for VA/kVA. λ=0 means zero real power with S>0 (an ideal purely reactive sinusoidal load is one example); use 0.8 for 80%.
Example calculations
Common configurations with formula and result.
Single-phase household
20 A at 120 V
Single-phase 230 V
12 A at 230 V
Three-phase
10 A at 400 V L-L
Three-phase large
60 A at 480 V L-L
Amps → kVA
12 A · 230 V · 1φ
Quick VA examples
Common values at a glance.
| Current | Voltage | Phase | Formula | Apparent power |
|---|---|---|---|---|
| 5 A | 120 V | 1φ | S = 120 × 5 | 600 VA |
| 20 A | 120 V | 1φ | S = 120 × 20 | 2,400 VA |
| 12 A | 230 V | 1φ | S = 230 × 12 | 2,760 VA |
| 15 A | 230 V | 1φ | S = 230 × 15 | 3,450 VA |
| 10 A | 400 V | 3φ | S = √3 × 400 × 10 | 6,928 VA |
| 20 A | 400 V | 3φ | S = √3 × 400 × 20 | 13,856 VA |
| 60 A | 480 V | 3φ | S = √3 × 480 × 60 | 49,883 VA |
Amps to VA calculator specification
Version 1.4.3 · Engine tested
- Engine tested 36/36 tests · Production surface contract 4/4
- Named expert review Not performed
- Calculation version 1.4.3
- Definition
- Volt-amperes (VA) measure apparent electrical power — the product of RMS voltage and RMS current, without power factor. This calculator converts amps ↔ VA and amps → kVA for single-phase and balanced sinusoidal three-phase line-to-line AC. An optional total power factor (λ) field estimates real power on the page and in the API as derived.estimated_real_power (P_est = S × λ_entered).
- What it calculates
- Apparent power in VA or kVA from amps and volts, or amps from VA, for 1φ and balanced sinusoidal 3φ line-to-line AC; optional estimated real power from total power factor λ.
- Inputs
- Current I (A) or apparent power S (VA)
- Voltage V (V), must be > 0; line-to-line RMS for 3φ
- Phase: single or three (balanced sinusoidal L-L only)
- Optional total power factor λ in [0, 1] for estimated real power (page + API derived.estimated_real_power)
- Outputs
- Apparent power in VA
- Apparent power in kVA
- Current in A (VA → Amps)
- Optional estimated real power in W (page UI and API derived.estimated_real_power when λ is supplied)
- Formula
1φ: S=V_RMS·I_RMS; 3φ L-L balanced sinusoidal: S=√3·V_L-L·I_L; S_kVA=S_VA/1000; P_est=S·λ_entered (when λ supplied)- Assumptions
- AC steady-state with RMS voltage and current magnitudes.
- Three-phase mode is balanced sinusoidal AC using line-to-line RMS voltage, where V_LL = √3 V_LN and line currents are equal. IEEE 1459 covers a wider set of conditions; this calculator does not.
- Total power factor λ is not applied to VA/kVA results.
- Units
- A, V → VA or kVA
- Boundary conditions
- Missing or non-positive voltage returns an error (UI and API); never a fake 0 A / 0 VA
- Power factor outside [0, 1] is rejected when provided; not silently ignored. λ=0 is accepted (P_est=0 when S>0).
- Negative primary (current or VA) is rejected
- Overflow to Infinity or NaN is rejected as NON_FINITE_RESULT; never returned as a success result
- Example
- 12 A, 230 V, 1φ → S = 2,760 VA (2.760 kVA)
- Validation cases
20 published on this page · 36/36 tests · Production surface contract 4/4 · View evidence
- 20 A, 120 V, 1φ → 2400 VA
- 12 A, 230 V, 1φ → 2760 VA
- 10 A, 400 V, 3φ L-L → 6928 VA
- 60 A, 480 V, 3φ L-L → 49883 VA
- 2760 VA, 230 V, 1φ → A → 12 A
- 24 A, 230 V, 1φ (2× current) → 5520 VA
- 12 A, 460 V, 1φ (2× voltage) → 5520 VA
- PF = 1 (accepted; VA unchanged) → 1200 VA for 10 A × 120 V
- 10 A, 120 V, 1φ, PF=0 → 1200 VA · P_est = 0 W
- VA → Amps with volts = 0 → error VOLTAGE_MUST_BE_POSITIVE
- volts = -230 → error VOLTAGE_MUST_BE_POSITIVE
- primary = -5 A → error VALUE_MUST_BE_NON_NEGATIVE
- PF = 80 → error POWER_FACTOR_OUT_OF_RANGE
- unknown mode → error INVALID_MODE
- unknown phase → error INVALID_PHASE
- primary = 0 A, 230 V, 1φ → 0 VA
- 10 A, 400 V, 3φ L-L → kVA → 6.928 kVA
- 6928.203 VA, 400 V, 3φ L-L → A → 10 A
- missing volts → error MISSING_REQUIRED_INPUT
- 1e308 A × 1e308 V → error NON_FINITE_RESULT
- Sources
- IEC 60050 — International Electrotechnical Vocabulary — Apparent power (IEV 131-11-41) · accessed 2026-09-04Supports: S = U × I definition of apparent power; unit volt-ampere (VA)
- IEC 60050 — International Electrotechnical Vocabulary — Power factor (IEV 131-11-46) · accessed 2026-09-04Supports: λ = |P| / S, so λ = 0 when P = 0 and S > 0; optional page/API estimate P_est = S × λ_entered uses this definition
- IEEE Std 1459-2025 — Definitions for electric power measurement under sinusoidal, nonsinusoidal, balanced, or unbalanced conditions · 2025-05-16 · errata checked · accessed 2026-09-04Supports: IEEE 1459 covers sinusoidal, nonsinusoidal, balanced, and unbalanced conditions. This calculator implements only the balanced sinusoidal three-phase model S = √3 × V_L-L × I_L (V_LL = √3 V_LN, equal line currents).
- BIPM SI Brochure (9th edition, version 4.01) — SI base and derived units for ampere, volt, and power · 2026-06
·
DOI
· accessed 2026-09-04Supports: V, A, W, and VA unit relationships
- IEC 60050 — International Electrotechnical Vocabulary — Apparent power (IEV 131-11-41) · accessed 2026-09-04
- Calculation version
- 1.4.3
Background
Interpretation and common distinctions.
What are amps and VA?
- Amps (A) — electric current.
- Volt-amperes (VA) — apparent power: how much voltage × current the circuit presents to the supply.
- Kilovolt-amperes (kVA) — 1 kVA = 1000 VA, common for transformers and larger AC equipment.
Apparent power is the product of RMS voltage and RMS current: S = V_RMS × I_RMS. Unlike real power, apparent power itself does not apply power factor. Quantity symbol S, unit VA.
Supported and not supported
Supported
- Single-phase AC
- Balanced sinusoidal three-phase AC with line-to-line RMS voltage (V_LL = √3 V_LN, equal line currents)
- RMS voltage and current magnitudes
- Amps ↔ VA and Amps → kVA
Not supported
- DC systems (use watts / Amps to kW style real-power tools)
- Unbalanced three-phase, unequal per-phase currents, or nonsinusoidal / harmonic-rich three-phase (the √3 formula does not apply)
- Line-to-neutral voltage as a separate three-phase mode
- Phase-angle, harmonic, or protection calculations
- Breaker, cable, or equipment sizing / compliance decisions
VA vs watts vs kW
| Quantity | Meaning | Formula idea |
|---|---|---|
| VA / kVA | Apparent power | S = V_RMS × I_RMS (×√3 for balanced sinusoidal 3φ L-L) |
| W / kW | Real power | P_est = S × λ (total power factor, when entered) |
| λ (PF) | Real ÷ apparent | 0 ≤ λ ≤ 1 |
- UPS, inverters, and transformers are often rated in VA/kVA.
- Utility bills and heating loads care about watts/kW.
- For real power from current, use Amps to kW.
Related tools
Other calculators in this family: Amps to kW Calculator, Amps to Volts Calculator, Electric Power Calculator, Energy Consumption Calculator, Energy Cost Calculator, eV to Volts Calculator, kVA to Amps Calculator, kVA to kW Calculator . Explore all Power & Energy.
Frequently asked questions
Key distinctions behind the calculation.
What is VA (volt-amperes)?
VA is apparent electrical power: the product of RMS voltage and RMS current. It describes how hard the supply and wiring are loaded, before separating real and reactive power.
How do I convert amps to VA?
Single-phase: S = V_RMS × I_RMS. Balanced sinusoidal three-phase with line-to-line voltage: S = √3 × V_L-L × I_L. Everyday form of the same math: VA = I × V. This page does not accept line-to-neutral voltage as a separate mode.
Do I need power factor for VA?
No. Total power factor λ is optional and estimates real power: P_est = S × λ_entered (page UI and API derived.estimated_real_power). Apparent power itself does not multiply by λ. λ = 0 means zero real power with non-zero apparent power; an ideal purely reactive sinusoidal load is one example.
How is VA different from watts?
VA is apparent power; watts are real power consumed as work or heat. For resistive loads λ ≈ 1 so VA ≈ W. For motors and many AC loads, watts are lower than VA.
What voltage do I enter for three-phase?
Enter balanced sinusoidal line-to-line RMS voltage with the three-phase option, where V_LL = √3 V_LN and line currents are equal. The calculator multiplies by √3. Line-to-neutral, unbalanced, and nonsinusoidal three-phase are not supported on this page.
What is the difference between VA and kVA?
1 kVA = 1000 VA. Use Amps → kVA for the same math divided by 1000 — handy for transformers and larger equipment.
Can I convert VA back to amps?
Yes — use VA → Amps: I = S / V_RMS (single-phase) or I = S / (√3 × V_L-L) (three-phase). Voltage must be greater than zero.
What if voltage is missing or zero?
The calculator and API reject the request. Missing or zero voltage is not treated as a valid result of 0 A or 0 VA.
Why do some sites multiply VA by power factor?
That gives watts (or a PF-adjusted figure), not true apparent power. Standard definition: S = V_RMS × I_RMS (× √3 for balanced sinusoidal 3φ L-L), without PF.