Inductive Reactance Calculator

Calculate inductive reactance, inductance, and frequency for AC circuits

Calculate Inductive Reactance Parameters

Self-inductance of the inductor coil

Frequency of the AC signal

Inductive Reactance Results

0.000
Inductive Reactance (Ω)
0.000e+0
Admittance (S)
0.000
Inductance (mH)
0.000
Frequency (Hz)

Formula Used: X₁ = 2πfL

Calculation: X₁ = 2π × 0.00e+0 Hz × 0.00e+0 H

Applications: AC circuit analysis, filter design, impedance matching

Physical Interpretation

Example Calculation

14 mH Inductor at 100 Hz

Inductance: 14 mH = 0.014 H

Frequency: 100 Hz

Application: Audio frequency filter

Calculation

X₁ = 2πfL

X₁ = 2π × 100 Hz × 0.014 H

X₁ = 6.283 × 100 × 0.014

X₁ = 8.80 Ω

B₁ = 1/X₁ = 0.11 S

Common Inductance Values

Small RF choke1-100 μH
Audio inductor1-100 mH
Power supply choke1-10 H
Motor winding10-1000 mH
Transformer primary100 mH-10 H
Antenna coil10-1000 μH

Key Concepts

Reactance increases with frequency

DC circuits: X₁ = 0 (short circuit)

Higher inductance = higher reactance

Units: Ω (same as resistance)

Understanding Inductive Reactance

What is Inductive Reactance?

Inductive reactance is the effective resistance offered by an inductor to alternating current. Unlike resistive opposition, inductive reactance arises from the self-induced EMF that opposes changes in current flow, following Faraday's law of electromagnetic induction.

Frequency Dependence

  • Linear relationship with frequency
  • Zero reactance at DC (0 Hz)
  • Infinite reactance at infinite frequency
  • Phase shift: current lags voltage by 90°

Inductive Reactance Formula

XL = 2πfL

BL = 1/XL

  • XL: Inductive reactance (Ω)
  • f: Frequency (Hz)
  • L: Inductance (H)
  • BL: Susceptance/Admittance (S)
  • 2π: Angular frequency factor

Note: Reactance has same units as resistance (Ω)

Applications and Examples

Practical Applications

  • • AC circuit analysis and design
  • • Filter circuit calculations
  • • Impedance matching networks
  • • Transformer design
  • • Motor circuit analysis
  • • Resonant circuit tuning

Frequency Behavior

  • • Audio (20Hz-20kHz): Low to moderate X₁
  • • Radio (kHz-MHz): Moderate to high X₁
  • • Microwave (GHz): Very high X₁
  • • Power systems (50/60Hz): Low X₁
  • • Switching circuits (kHz): Variable X₁
  • • DC circuits: X₁ = 0 (short circuit)

Key Insights

Circuit Behavior:

  • Inductor opposes current changes
  • Current lags voltage by 90°
  • Energy stored in magnetic field

Design Considerations:

  • Higher frequency = higher reactance
  • Larger inductance = higher reactance
  • Use for high-frequency filtering