Inductive Reactance Calculator
Calculate inductive reactance in AC circuits.
Understanding Inductive Reactance Calculator
Inductive reactance is the opposition to current change in an inductor in AC circuits. It increases linearly with frequency.
$$X_L = 2\pi f L$$
How to use this calculator
- Enter the frequency \(f\) in hertz.
- Enter the inductance \(L\) in henries.
- Read the calculated inductive reactance \(X_L\) in ohms.
- Use the result to compare how strongly the inductor opposes AC at that frequency.
The formula explained
The formula \(X_L = 2\pi fL\) computes inductive reactance in ohms. It shows that reactance increases when either frequency \(f\) or inductance \(L\) increases.
- \(X_L\) = inductive reactance in ohms
- f = frequency in hertz
- L = inductance in henries
- \(\pi\) = the constant pi, about \(3.14159\)
Step by step method
- Start with the formula \(X_L = 2\pi fL\).
- Multiply \(2\pi\) by the frequency \(f\).
- Multiply that result by the inductance \(L\).
- Write the answer in ohms, because reactance is measured in \(\Omega\).
Worked example
Problem. Find the inductive reactance of a \(0.20\,\text{H}\) inductor at \(60\,\text{Hz}\).
- Substitute the values into the formula: \(X_L = 2\pi(60)(0.20)\).
- Compute: \(2\pi(60)(0.20) = 24\pi\).
- Approximate: \(24\pi \approx 75.4\).
Answer. \(X_L \approx 75.4\,\Omega\)
Tips and common mistakes
- Make sure frequency is in hertz and inductance is in henries before calculating.
- Do not confuse inductive reactance \(X_L\) with resistance, because reactance depends on frequency and changes with AC.
Frequently asked questions
How do I use an inductive reactance calculator?+
Enter the frequency in hertz and the inductance in henries, then the calculator applies X_L = 2πfL. The result is the inductive reactance in ohms, which tells you how much the inductor resists AC current at that frequency.
What does the formula X_L = 2πfL mean?+
It means inductive reactance depends on both frequency and inductance. If either the frequency or the inductance increases, the reactance increases too.
What are the units for inductive reactance, frequency, and inductance?+
Frequency should be in hertz, inductance in henries, and the answer comes out in ohms. If your inductance is given in millihenries or microhenries, convert it to henries before calculating.
What happens if the frequency is 0 Hz or very low?+
At 0 Hz, the inductive reactance is 0 ohms, so an ideal inductor behaves like a short circuit for DC. At very low frequencies, the reactance is small, so the inductor offers little opposition to current.
How is inductive reactance different from resistance?+
Resistance is a real opposition to current that dissipates energy as heat, while inductive reactance is frequency-dependent opposition caused by an inductor’s changing magnetic field. Reactance does not use the same fixed behavior as resistance, and it increases as frequency rises.
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