인덕터 분석 도구

인덕티브 리액턴스 계산기

모든 주파수에서 인덕티브 리액턴스(XL) 및 임피던스를 계산하세요. 위상 관계를 시각화하고 AC 회로에서 인덕터의 동작을 이해하세요.

Parameters

10 mH

Select inductor value

1000 Hz

Operating frequency

Formulas

XL = 2πfL

φ = +90°

Circuit Visualization

V~L10 mHIXL62.83 Ω

Phase Relationship

V (+90°)I

Voltage leads current by 90°

Results

Inductive Reactance

62.83 Ω

XL = 2πfL

Phase Angle

+90°

Impedance

+j62.83

Frequency Behavior

  • • Low f → Low XL (passes DC)
  • • High f → High XL (blocks AC)
  • • Acts as low-pass filter

Understanding Inductive Reactance

What is XL?

Inductive reactance (XL) is the opposition that an inductor presents to alternating current (AC). Unlike resistance, which dissipates energy as heat, reactance stores energy temporarily in a magnetic field and returns it to the circuit.

The Formula

XL = 2πfL

  • XL = Inductive reactance in ohms (Ω)
  • f = Frequency in hertz (Hz)
  • L = Inductance in henries (H)

Phase Relationship

In a pure inductor circuit, the voltage leads the current by 90 degrees. This is because voltage is proportional to the rate of change of current. This is expressed in complex notation as Z = +jXL.

Frequency Behavior

DC (f = 0)

XL = 0, inductor acts as short circuit (passes DC)

Low Frequency

Low XL, inductor allows current to flow

High Frequency

High XL, inductor blocks AC current

Common Applications

  • Low-pass filters (block high frequencies)
  • RF chokes and EMI suppression
  • Energy storage in SMPS
  • Tuned circuits and oscillators
  • Impedance matching networks

Inductor Types & Selection

Air Core

Range: nH - µH

Frequency: MHz to GHz

Advantages:

  • + No core saturation
  • + High Q at RF
  • + Linear behavior

Limitations:

  • - Large size for high L
  • - Lower inductance

Ferrite Core

Range: µH - mH

Frequency: kHz to MHz

Advantages:

  • + High inductance
  • + Compact size
  • + Good for EMI filtering

Limitations:

  • - Core saturation
  • - Temperature sensitivity

Iron Core

Range: mH - H

Frequency: DC to kHz

Advantages:

  • + Very high inductance
  • + Power applications
  • + Energy storage

Limitations:

  • - Heavy
  • - Core losses at high f

Multilayer Chip

Range: nH - µH

Frequency: MHz to GHz

Advantages:

  • + Very small
  • + SMD mounting
  • + Low cost

Limitations:

  • - Lower Q
  • - Limited current

Key Design Considerations

Q Factor

Quality factor (Q = XL/R) indicates how efficiently the inductor stores energy. Higher Q means lower losses.

  • Q > 50: High-quality RF inductor
  • Q = 10-50: General purpose
  • Q < 10: Power inductors (intentional loss)

Self-Resonant Frequency

SRF is where parasitic capacitance resonates with inductance. Above SRF, the inductor acts capacitive.

  • Operating frequency < SRF/3 (safe)
  • At SRF: Maximum impedance
  • Above SRF: Capacitive behavior

Saturation Current

Current at which inductance drops by a specified percentage (typically 10-30%). Critical for power applications.

  • I_sat > Peak operating current
  • Derate for temperature rise
  • Consider DC bias in AC applications

Frequently Asked Questions

What is inductive reactance?

Inductive reactance (XL) is the opposition an inductor presents to alternating current. It is measured in ohms and calculated using the formula XL = 2πfL, where f is frequency and L is inductance. Unlike resistance, reactance depends on frequency and stores energy in a magnetic field.

Why does inductive reactance increase with frequency?

As frequency increases, the rate of change of current increases, which induces a larger back-EMF in the inductor. This greater opposition to current change results in higher reactance. At DC (f=0), an ideal inductor has zero reactance (short circuit).

What is the phase relationship in an inductor?

In a pure inductor, voltage leads current by 90 degrees. This is because voltage is proportional to the rate of change of current (V = L di/dt). When current is changing most rapidly (zero crossing), voltage is at its maximum. This phase lead is represented by +j in complex impedance notation.

What is self-resonant frequency (SRF)?

Self-resonant frequency is the frequency at which the inductor's parasitic capacitance resonates with its inductance. Above SRF, the inductor behaves like a capacitor. For reliable operation, use inductors well below their SRF.

Learn More About Circuit Design

Explore our engineering guides and documentation for deeper insights.

Browse Resources