Inductive Reactance Calculator
Calculate inductive reactance (XL) using frequency and inductance. Free online calculator with unit conversion and step-by-step explanations.
Inductive Reactance Calculator
Calculate inductive reactance (XL) using the formula XL = 2πfL. Get instant results with step-by-step explanations.
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Note: Inductive reactance (XL) increases as frequency increases. At DC (0 Hz), an inductor acts as a short circuit. At very high frequencies, it acts as an open circuit. This calculator uses the formula XL = 2πfL.
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What Is an Inductive Reactance Calculator?
An inductive reactance calculator computes the opposition an inductor presents to alternating current using the formula XL = 2πfL. Enter frequency and inductance, and the calculator returns reactance in ohms with a full step-by-step derivation — no need to look up the 2π constant or convert units by hand.
Unlike plain resistance, inductive reactance depends directly on frequency, so the same inductor behaves completely differently at 60Hz mains frequency versus 1MHz RF — a distinction that's easy to compute wrong when switching between unit prefixes for frequency (Hz, kHz, MHz) and inductance (H, mH, µH, nH) in the same calculation. This tool handles all unit conversion automatically and shows every step of the derivation.
Built for electrical engineers designing filters and chokes, RF and radio hobbyists, electronics students learning AC circuit theory, and power electronics designerschecking impedance at a specific operating frequency. Includes six built-in frequency/inductance presets, full step-by-step working, and text export — free.
The Inductive Reactance Formula
Core Formula
Inductive Reactance (XL) = 2π × f × L
Example: 10mH inductor at 60Hz
XL = 2π × 60 × 0.01 = 3.77Ω
- f — signal frequency in hertz; reactance scales linearly with frequency
- L — inductance in henries; reactance scales linearly with inductance too
- 2π ≈ 6.2832 — the constant converting frequency (cycles/second) into angular frequency (radians/second)
- XL is zero at DC (f = 0) and increases without bound as frequency rises — the defining behavior of an inductor in an AC circuit
How to Use the Inductive Reactance Calculator
Step-by-Step Guide
- 1Enter Frequency: Input the AC signal frequency, choosing Hz, kHz, or MHz.
- 2Enter Inductance: Input the inductor's value, choosing H, mH, µH, or nH.
- 3Read the Inductive Reactance: View XL in ohms, calculated instantly using XL = 2πfL.
- 4Review the Step-by-Step Derivation: See the full calculation broken into each substitution step.
- 5Apply a Preset: Use a built-in preset spanning power-line frequencies through RF frequencies to explore how reactance scales.
What This Calculator Provides
- ✓Real-time calculation as you type
- ✓Full unit support: Hz/kHz/MHz, H/mH/µH/nH
- ✓Complete step-by-step derivation
- ✓Six built-in presets (50Hz to 1MHz)
- ✓Calculation history
- ✓Export calculation as a text file
- ✓Private: your inputs are not collected or stored
- ✓No signup required
Real-World Use Cases
Mains Frequency Choke Sizing
An engineer designing a power-line filter needs a choke with at least 3Ω of reactance at 60Hz. Testing a 10mH inductor, the calculator returns XL = 3.77Ω — meeting the requirement — confirming the part before adding it to the filter design.
RF Choke Verification at 1MHz
An RF hobbyist wants to confirm a 10µH inductor provides enough isolation at 1MHz for a bias tee circuit. Using f = 1MHz and L = 10µH, the calculator returns XL = 62.8Ω — enough to isolate the RF signal from the DC bias supply for their intended application.
Audio Crossover Reactance Check
An audio hobbyist calculating a crossover inductor's behavior at a 2kHz crossover point tests a 2.5mH inductor. The calculator returns XL = 31.4Ω at 2kHz, which they compare against the speaker's impedance to estimate the crossover's -3dB point.
Current Draw Estimate for an Inductive Load
A technician wants to estimate current through a 100mH inductor connected across a 120V, 60Hz supply, ignoring winding resistance. The calculator returns XL = 37.7Ω, and dividing 120V by 37.7Ω gives an estimated current of 3.18A for this idealized reactive-only case.
LC Resonance Frequency Search
A student searching for the resonant frequency of an LC tank circuit with L = 100µH tests several candidate frequencies against a known 100pF capacitor's reactance. At 1.6MHz, XL for the 100µH inductor comes out close to the capacitor's XC at the same frequency, confirming they're near the circuit's resonant point.
Comparing Reactance Across Frequency Bands
An engineer wants to visualize how a fixed 1mH inductor behaves from mains frequency to RF. Testing 60Hz, 1kHz, 100kHz, and 1MHz in sequence, the calculator returns 0.377Ω, 6.28Ω, 628Ω, and 6,283Ω respectively — a span of four orders of magnitude that illustrates why the same component serves very different roles depending on operating frequency.
Tips & Common Mistakes
Pro Tips
- 💡Remember that reactance scales linearly with both frequency and inductance — doubling either one doubles XL, unlike inductance itself, which scales with turns squared in the underlying coil.
- 💡Use the built-in presets to quickly get a feel for typical XL magnitudes across frequency bands — mains chokes, audio crossovers, and RF chokes all operate in very different reactance ranges for very different component values.
- 💡When comparing an inductor's reactance to a capacitor's reactance for a filter or resonance calculation, always compute both at the same frequency — reactance is meaningless to compare unless the frequency is held constant.
- 💡For a quick real-world impedance check, remember that a real inductor's total impedance also includes its winding resistance (DCR) — XL alone describes only the ideal reactive component, not the full impedance magnitude.
- 💡When sizing a choke for a switching power supply, calculate XL at the actual switching frequency, not at the AC mains frequency — inductors intended for high-frequency ripple filtering behave very differently than 50/60Hz mains chokes.
Common Mistakes to Avoid
- ✕Forgetting the 2π factor and using XL = fL instead of XL = 2πfL. This understates reactance by a factor of roughly 6.28, a common shortcut error when working quickly by hand.
- ✕Mixing up frequency unit prefixes, especially Hz and kHz. Entering 60 intending Hz but leaving the unit on kHz overstates reactance by a factor of 1,000 — always confirm the unit dropdown matches your intended frequency.
- ✕Assuming XL alone represents a real inductor's total impedance. Real components also have winding resistance and, at high frequencies, parasitic capacitance — XL is only the ideal reactive component of a more complete impedance model.
- ✕Treating inductive reactance as if it behaved like resistance in terms of power dissipation. An ideal inductor's reactance opposes current without dissipating real power as heat — power is only dissipated in the winding's actual resistance, not in the reactance itself.
- ✕Using the wrong inductance value when a coil's inductance changes with frequency, as happens with ferrite-core inductors near saturation or self-resonance. This formula assumes a fixed, ideal inductance — real component datasheets often specify inductance at a particular test frequency for this reason.
Reactance by Frequency and Inductance
| Frequency | Inductance | Reactance (XL) |
|---|---|---|
| 50 Hz | 0.1 H | 31.4 Ω |
| 60 Hz | 0.05 H | 18.85 Ω |
| 1 kHz | 10 mH | 62.8 Ω |
| 10 kHz | 1 mH | 62.8 Ω |
| 100 kHz | 100 µH | 62.8 Ω |
| 1 MHz | 10 µH | 62.8 Ω |
* Calculated using XL = 2πfL. Note how the last four rows give equal reactance despite spanning three orders of magnitude in frequency and inductance.
Frequently Asked Questions
What is an inductive reactance calculator?
A free online tool that computes the opposition an inductor presents to AC using XL = 2πfL, from frequency and inductance, with a full step-by-step derivation.
What is the formula for inductive reactance?
XL = 2πfL. A 10mH inductor at 60Hz gives XL = 2π × 60 × 0.01 = 3.77Ω; at 1kHz it gives 62.8Ω.
Why does inductive reactance increase with frequency?
An inductor's back-EMF is proportional to the rate of change of current. Higher frequency means faster current changes, increasing back-EMF and reactance proportionally.
What is the difference between inductive reactance and resistance?
Resistance dissipates energy as heat at any frequency including DC. Inductive reactance opposes changing current without dissipating heat, is zero at DC, and scales linearly with frequency.
What is the inductive reactance at 0 Hz (DC)?
Zero. Since XL = 2πfL, f = 0 makes reactance zero — an ideal inductor behaves like a plain wire at DC, aside from its winding resistance.
How do I find the resonant frequency of an LC circuit?
Resonance occurs when XL equals XC, at f = 1 ÷ (2π√(LC)). Compare this calculator's XL against a capacitive reactance calculator's XC at the same frequency to check for resonance.
How does inductive reactance affect current in an AC circuit?
I = V ÷ XL in a purely inductive circuit. A 120V, 60Hz supply across a 100mH inductor (XL = 37.7Ω) draws about 3.18A.
Why do power transformers and RF chokes use different reactance considerations?
Power transformers run at low fixed frequencies (50/60Hz) needing high inductance for meaningful reactance. RF chokes run at much higher frequencies, needing far less inductance for the same reactance.
How is inductive reactance used in filter design?
In an LC filter, XL increases with frequency, progressively blocking higher frequencies. Combined with a capacitor's decreasing reactance, this creates precise frequency-dependent filtering.
Is my data private when using this calculator?
Yes. We do not collect or store what you enter.
Who Uses This Inductive Reactance Calculator?
Electrical Engineers
Verify choke and filter inductor reactance at mains and switching frequencies during power electronics design.
RF & Radio Hobbyists
Calculate RF choke reactance and check isolation performance at radio frequencies.
Electronics Students
Learn how inductive reactance depends on frequency and verify AC circuit theory homework problems.
Audio Circuit Designers
Calculate crossover inductor reactance at target crossover frequencies for speaker networks.
Electronics Hobbyists
Estimate current-limiting behavior of inductive loads across different AC frequencies.
EMI/EMC Engineers
Confirm inductive filter components provide sufficient reactance at target noise frequencies.
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