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How-to guide

How to Calculate Resistor Power: Formula, Steps & Examples

Learn how to calculate Resistor 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 power dissipated is straightforward once you know the Resistor 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 Resistor Power Calculator.

What is Resistor Power?

The Resistor Power calculation tells you your power dissipated from a few simple inputs. The figure you are solving for here is the power dissipated.

The Resistor Power formula

The core formula is:

Power dissipated = Voltage across resistor ^ 2 ÷ Resistance

Here is what each input means:

  • Voltage across resistor — a value measured in V. Example: 12 V.
  • Resistance — a value measured in Ω. Example: 100 Ω.

How to calculate it step by step

  • Write down the voltage across resistor (for example, 12 V).
  • Write down the resistance (for example, 100 Ω).
  • Apply the formula above to get your power dissipated.
  • Double-check the result with the Resistor Power Calculator.

Worked examples

Example 1

Input / OutputValue
Voltage across resistor12 V
Resistance100 Ω
Power dissipated1.4400
Current0.1200

With voltage across resistor of 12 V and resistance of 100 Ω, the power dissipated works out to 1.4400.

Example 2

With voltage across resistor of 24 V and resistance of 100 Ω, the power dissipated works out to 5.7600.

ResultValue
Power dissipated5.7600
Current0.2400

Example 3

With voltage across resistor of 6 V and resistance of 100 Ω, the power dissipated works out to 0.3600.

ResultValue
Power dissipated0.3600
Current0.0600

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 Resistor 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, Resistance from Power Calculator.

Calculators in this guide

Frequently asked questions

The formula is: Power dissipated = Voltage across resistor ^ 2 ÷ Resistance. With voltage across resistor of 12 V and resistance of 100 Ω, the power dissipated works out to 1.4400.

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 Resistor 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.