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03 // Bidirectional STEM Calculators // ENGINEERINGX_L = 2 × π × f × L

AC Inductive Reactance (X_L = 2πfL) Calculator

Inductive reactance X_L measures an inductor's opposition to alternating current changes, increasing linearly with AC frequency f and inductance L: X_L = 2 × π × f × L.

X_L = 2 × π × f × L
Pick which value you want to calculate (or type into any field):Solving for: X_L — Inductive Reactance
Calculated

AC impedance magnitude of ideal inductor in Ohms

0.011,000,000.00

Operating frequency in Hertz

11.0000e+9

Coil inductance in millihenries (switch unit for μH or H)

0.001100,000.00
Calculated Result · Inductive Reactance (X_L)
314.1593Ω
Converted units:

Step-by-Step Calculation

01Canonical Law: X_L = 2 × π × f × L
02Given Inputs (Base Units): f = 1,000 Hz, L = 50 mH
03Solve for X_L (Inductive Reactance): X_L = 314.16 Ω

Inductive reactance X_L measures an inductor's opposition to alternating current changes, increasing linearly with AC frequency f and inductance L: X_L = 2 × π × f × L.

Real-World Reference Values

DC Steady State (f = 0 Hz)X_L = 0 Ω (Short Circuit)

Ideal inductor passes DC with zero reactance

Audio Woofer Crossover (8 Ω @ 500 Hz)L = 2.55 mH

First-order low-pass speaker choke

Voltage-Current PhaseV leads I by +90°

ELI the ICE man mnemonic

20-Row Comparison Table

Inductive Reactance (X_L) · AC Signal Frequency (f)

AC Inductive Reactance (X_L = 2πfL) Calculator — AC Signal Frequency → Inductive Reactance
#AC Signal Frequency (Hz)Inductive Reactance (Ω)Δ %
011,000.00 HzCurrent314.1593 Ω0.00%
027,236,895.68 Hz2,273,537.83 Ω+723589.57%
0314,473,790.35 Hz4,547,075.34 Ω+1447279.04%
0421,710,685.03 Hz6,820,612.86 Ω+2170968.50%
0528,947,579.71 Hz9,094,150.37 Ω+2894657.97%
0636,184,474.38 Hz11,367,687.89 Ω+3618347.44%
0743,421,369.06 Hz13,641,225.41 Ω+4342036.91%
0850,658,263.74 Hz15,914,762.92 Ω+5065726.37%
0957,895,158.42 Hz18,188,300.44 Ω+5789415.84%
1065,132,053.09 Hz20,461,837.95 Ω+6513105.31%
1172,368,947.77 Hz22,735,375.47 Ω+7236794.78%
1279,605,842.45 Hz25,008,912.98 Ω+7960484.24%
1386,842,737.12 Hz27,282,450.50 Ω+8684173.71%
1494,079,631.80 Hz29,555,988.01 Ω+9407863.18%
15101,316,526.48 Hz31,829,525.53 Ω+10131552.65%
16108,553,421.15 Hz34,103,063.04 Ω+10855242.12%
17115,790,315.83 Hz36,376,600.56 Ω+11578931.58%
18123,027,210.51 Hz38,650,138.07 Ω+12302621.05%
19130,264,105.19 Hz40,923,675.59 Ω+13026310.52%
20137,500,999.86 Hz43,197,213.10 Ω+13749999.99%
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Frequently Asked Questions

How do I size an inductor choke to block a specific AC frequency?+

Click SOLVE FOR on L, enter your target blocking impedance X_L (in Ω or kΩ) and the ripple frequency f.

How do resistor R and inductive reactance X_L combine into total impedance Z?+

Because X_L is shifted by +90° in the complex plane, total series impedance magnitude is Z = √(R² + X_L²).

Does an ideal inductor dissipate real power?+

No. An ideal inductor stores and returns magnetic energy (E = ½LI²) each half-cycle, generating reactive power (VAR) with zero real Watts.