Impedance Converter
Convert impedance units and calculate impedance for components
Component to Impedance Calculator
Component Behavior:
Resistors maintain constant impedance regardless of frequency. The current and voltage are in phase (0° phase angle).
Impedance Unit Converter
Conversion Formula:
Ω → kΩ: Multiply by 0.001000
Typical Application:
Similar to a wire connection or very low resistance path
Common Impedance Values
| Circuit Element | Typical Impedance | Phase Angle |
|---|---|---|
| Resistor (1 kΩ) | 1 kΩ (independent of frequency) | 0° |
| Capacitor (1 μF at 1 kHz) | 159 Ω | -90° |
| Inductor (1 mH at 1 kHz) | 6.28 Ω | +90° |
| Audio Output (Headphones) | 16-600 Ω | Variable |
| Loudspeaker | 4-16 Ω | Variable |
| Transmission Line (50 Ω) | 50 Ω | ~0° (matched) |
| Antenna (Resonant) | 50-75 Ω | ~0° (at resonance) |
| Microphone | 150-600 Ω | Variable |
| Oscilloscope Input | 1 MΩ || 15 pF | Frequency-dependent |
| Human Body (Dry) | 1-100 kΩ | Frequency-dependent |
Understanding Impedance
Key Concepts:
- Impedance (Z): A complex quantity representing opposition to current flow in AC circuits.
- Resistance (R): The real part of impedance that dissipates energy as heat.
- Reactance (X): The imaginary part of impedance that stores and releases energy.
- Phase Angle: The angle between voltage and current waveforms.
- Complex Notation: Z = R + jX where j is the imaginary unit.
Impedance Formulas:
- Magnitude: |Z| = √(R² + X²)
- Phase Angle: θ = tan⁻¹(X/R)
- Resistor: Z = R (no reactance, phase angle = 0°)
- Capacitor: Z = 1/(jωC) = -j/(ωC) (phase angle = -90°)
- Inductor: Z = jωL (phase angle = +90°)
- Series Circuit: Z = Z₁ + Z₂ + ... + Zₙ
- Parallel Circuit: 1/Z = 1/Z₁ + 1/Z₂ + ... + 1/Zₙ
Applications:
Impedance matching is critical in RF systems, audio equipment, and power distribution. Proper matching maximizes power transfer and minimizes signal reflections. Impedance measurements are essential for diagnosing electrical components and circuits, and for designing filters, oscillators, and amplifiers.
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Impedance Visualization
Complex Impedance Plane:
Common Applications:
Speakers (4-8Ω), power supply outputs, low impedance headphones
Component Behavior:
Resistors maintain the same impedance regardless of frequency. The current and voltage are in phase (0°).
Basic Formulas:
Z = R + jX (Complex Impedance = Resistance + Reactance)
|Z| = √(R² + X²) (Magnitude of Impedance)
θ = tan⁻¹(X/R) (Phase Angle)
ZR = R (Resistor Impedance)
ZC = 1/jωC (Capacitor Impedance)
ZL = jωL (Inductor Impedance)
Note: ω = 2πf where f is frequency in Hz
Mobile tip: Swipe left or right on the unit dropdown to quickly change units, or use the arrow buttons
About the Impedance Converter
Convert impedance units and calculate impedance for components All conversions run instantly in your browser and nothing you enter is sent to a server.
Common Conversion Formulas
| From | To | Formula |
|---|---|---|
| Impedance (Z) | Resistance (R), Reactance (X) | Z = √(R² + X²) |
| Capacitive Reactance (Xᴄ) | Frequency (f), Capacitance (C) | Xᴄ = 1/(2πfC) |
| Inductive Reactance (Xᴏ) | Frequency (f), Inductance (L) | Xᴏ = 2πfL |
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