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
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
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