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Electrical calculator

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.

Instant result
Result

Enter values to calculate.

Inputs
Mode
Formula
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 — ui-ssr is query-result HTML, not a live browser session.
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
Sources
Evidence
9 legacy golden · 13 legacy boundary · legacy regression suite · 4/4 oracle-backed golden · 10/10 invalid · Artifact integrity PASS
This calculator CURRENT · Public schema 1.4.3 matches · Semantic contract ✓ · Production attested · Public/cache ✓ · Origin ✓
Semantic contract
PASS
Full verification

Manifest identity, reference classes, interfaces, suite, and production records.

Formulas

Core equations used by this calculator.

Single-phase apparent powerS = V_RMS × I_RMS
Three-phase (L-L, balanced sinusoidal)S = √3 × V_L-L × I_L
kVAS_kVA = S_VA ÷ 1000
Estimated real power (optional)P_est = S × λ_entered
iS is apparent power; VA is the unit. Everyday form of the same math: VA = I × V. Apparent power does not use power factor. Three-phase mode is balanced sinusoidal AC with 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 optional and estimates watts on the page and in REST/MCP as derived.estimated_real_power; λ in [0, 1] is accepted. λ=0 means zero real power with non-zero apparent power (an ideal purely reactive sinusoidal load is one example). 1 kVA = 1000 VA. Not for DC, unbalanced, or nonsinusoidal three-phase.

How to use

1

Choose Amps → VA, VA → Amps, or Amps → kVA

Forward modes need current; reverse needs apparent power in VA.

2

Enter current (or VA) and voltage

Voltage must be greater than zero. For three-phase, enter balanced sinusoidal line-to-line volts.

3

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.

ϟ

Single-phase household

20 A at 120 V

S = 120 × 20
2,400 VA
ϟ

Single-phase 230 V

12 A at 230 V

S = 230 × 12
2,760 VA
ϟ

Three-phase

10 A at 400 V L-L

S = √3 × 400 × 10
6,928 VA
ϟ

Three-phase large

60 A at 480 V L-L

S = √3 × 480 × 60
49,883 VA
ϟ

Amps → kVA

12 A · 230 V · 1φ

S_kVA = 230 × 12 / 1000
2.760 kVA

Quick VA examples

Common values at a glance.

CurrentVoltagePhaseFormulaApparent power
5 A120 VS = 120 × 5600 VA
20 A120 VS = 120 × 202,400 VA
12 A230 VS = 230 × 122,760 VA
15 A230 VS = 230 × 153,450 VA
10 A400 VS = √3 × 400 × 106,928 VA
20 A400 VS = √3 × 400 × 2013,856 VA
60 A480 VS = √3 × 480 × 6049,883 VA
i Rounded to the nearest VA. Three-phase uses balanced sinusoidal line-to-line voltage.

Amps to VA calculator specification

Version 1.4.3 · Engine tested

Calculation status

Review policy · Evidence

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 2026-09-04
    Supports: S = U × I definition of apparent power; unit volt-ampere (VA)
  • IEC 60050 — International Electrotechnical Vocabulary — Power factor (IEV 131-11-46) · accessed 2026-09-04
    Supports: 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 2026-09-04
    Supports: 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 2026-09-04
    Supports: V, A, W, and VA unit relationships
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.
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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.