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How-to guide

How to Calculate Inductive Reactance: Formula, Steps & Examples

Learn how to calculate Inductive Reactance — 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 inductive reactance is straightforward once you know the Inductive Reactance 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 Inductive Reactance Calculator.

What is Inductive Reactance?

The Inductive Reactance calculation tells you your inductive reactance from a few simple inputs. The figure you are solving for here is the inductive reactance.

The Inductive Reactance formula

The core formula is:

Inductive reactance = 2 × 3.141592653589793 × Frequency × (Inductance ÷ 1000)

Here is what each input means:

  • Frequency — a value measured in Hz. Example: 50 Hz.
  • Inductance — a value measured in mH. Example: 100 mH.

How to calculate it step by step

  • Write down the frequency (for example, 50 Hz).
  • Write down the inductance (for example, 100 mH).
  • Apply the formula above to get your inductive reactance.
  • Double-check the result with the Inductive Reactance Calculator.

Worked examples

Example 1

Input / OutputValue
Frequency50 Hz
Inductance100 mH
Inductive reactance31.416

With frequency of 50 Hz and inductance of 100 mH, the inductive reactance works out to 31.416.

Example 2

With frequency of 100 Hz and inductance of 100 mH, the inductive reactance works out to 62.832.

ResultValue
Inductive reactance62.832

Example 3

With frequency of 25 Hz and inductance of 100 mH, the inductive reactance works out to 15.708.

ResultValue
Inductive reactance15.708

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 Inductive Reactance 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: Inductive reactance = 2 × 3.141592653589793 × Frequency × (Inductance ÷ 1000). With frequency of 50 Hz and inductance of 100 mH, the inductive reactance works out to 31.416.

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 Inductive Reactance 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.