What is the formula used?

For single-phase: R = V² / (kVA × 1000). For three-phase: R = V² / (3 × kVA × 1000), where V is the line-to-line voltage.

kVA is expressed in kilovolt-amperes (thousands of VA), so multiplying by 1000 converts the rating to volt-amperes (VA) before applying the resistance formula.

What voltage should I enter for three-phase?

Enter the line-to-line (phase-to-phase) voltage. Common values are 208 V, 380 V, 400 V, and 480 V.

Does this assume unity power factor?

Yes. The calculation treats kVA as apparent power equal to real power (unity power factor). If you know the power factor, use kW = kVA × PF before converting.

Can I enter decimal kVA values?

Yes, decimal inputs are supported — for example, 1.5 kVA or 0.75 kVA.

What is 100 kVA in ohms at 400 V?

Single-phase: R = V² / (kVA × 1000) = 400² / 100000 = 1.6 Ω. Three-phase at 400 V line-to-line: R = V² / (3 × kVA × 1000) = 160000 / 300000 ≈ 0.53 Ω per phase.

kVA to Ohms Calculator

Name: kVA to Ohms Calculator
Availability: InStock
Author: Nham Vu

Convert apparent power in kilovolt-amperes (kVA) to resistance in ohms (Ω) for single-phase and three-phase systems.

kVA to Ohms Converter

System Type

Apparent Power (kVA)

Voltage (V) — Line voltage

Common voltages:

Enter kVA and voltage to see resistance

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Summary

Convert apparent power in kilovolt-amperes (kVA) to resistance in ohms (Ω) for single-phase and three-phase systems.

How it works

Enter the apparent power in kilovolt-amperes (kVA).
Enter the supply voltage in volts (V). For three-phase, enter line-to-line voltage.
Select single-phase or three-phase (3-phase balanced).
The calculator applies R = V² / (kVA × 1000) for single-phase and R = V² / (3 × kVA × 1000) for three-phase.
Results appear instantly with the resistance value in ohms.

Use cases

Size protective resistors for electrical panels and transformers.
Estimate impedance of generators and UPS systems rated in kVA.
Cross-check resistance values in switchgear design.
Validate load calculations for single-phase and three-phase circuits.
Educational use for understanding the relationship between power, voltage, and resistance.

Frequently Asked Questions

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Last updated: 2026-05-23 · Reviewed by Nham Vu