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How-to guide

How to Calculate Resistance from Power: Formula, Steps & Examples

Learn how to calculate Resistance from Power — the formula explained step by step, with worked examples and a free calculator to check your answer.

By Arjun Desai, B.Tech (Engineering) · Updated Jun 2026 · 2 min read

Calculating your resistance is straightforward once you know the Resistance from Power formula and what each input means. This guide explains the method in plain language, walks through a manual calculation, and gives worked examples you can follow — then you can do it instantly with the Resistance from Power Calculator.

What is Resistance from Power?

The Resistance from Power calculation tells you your resistance from a few simple inputs. The figure you are solving for here is the resistance.

The Resistance from Power formula

The core formula is:

Resistance = Voltage ^ 2 ÷ Power

Here is what each input means:

  • Voltage — a value measured in V. Example: 230 V.
  • Power — a value measured in W. Example: 100 W.

How to calculate it step by step

  • Write down the voltage (for example, 230 V).
  • Write down the power (for example, 100 W).
  • Apply the formula above to get your resistance.
  • Double-check the result with the Resistance from Power Calculator.

Worked examples

Example 1

Input / OutputValue
Voltage230 V
Power100 W
Resistance529.0000
Current0.4348

With voltage of 230 V and power of 100 W, the resistance works out to 529.0000.

Example 2

With voltage of 460 V and power of 100 W, the resistance works out to 2,116.0000.

ResultValue
Resistance2,116.0000
Current0.2174

Example 3

With voltage of 120 V and power of 100 W, the resistance works out to 144.0000.

ResultValue
Resistance144.0000
Current0.8333

Tips for an accurate result

  • Keep your units consistent — mixing, say, months with years or grams with kilograms is the most common source of error.
  • Round only at the very end. Rounding inputs early can shift the final answer noticeably.
  • Re-run the numbers whenever an input changes, rather than estimating from an old result.

Prefer not to do the maths by hand? — the Resistance from Power Calculator does it instantly, for free, with the formula and a worked example built in.

Continue exploring electrical calculators with these tools: Wire Resistance Calculator, Watts to Amps Calculator, kVA to kW Calculator, kWh to Joules Calculator, Parallel Resistor Calculator.

Calculators in this guide

Frequently asked questions

The formula is: Resistance = Voltage ^ 2 ÷ Power. With voltage of 230 V and power of 100 W, the resistance works out to 529.0000.

Gather each input, apply the formula step by step keeping your units consistent, and round only at the end. You can verify your answer instantly with the Resistance from Power Calculator.

It uses the standard formula with exact arithmetic, so the result is correct for the inputs you enter. Bear in mind that real-world outcomes can still differ when underlying assumptions change.

Arjun Desai · B.Tech (Engineering)

Arjun Desai is an engineer who writes about the practical physics, electronics and energy calculations behind everyday technology.