Skip to main content

Impedance Calculator

How the Impedance Calculator Works

Z = √(R² + X²), φ = arctan(X/R)

Calculates total impedance from resistance and reactance components. Impedance is the AC equivalent of resistance, including the phase angle between voltage and current.

  1. 1

    Step 1

    Enter the resistance value (R) in ohms

  2. 2

    Step 2

    Enter the reactance value (X) in ohms

  3. 3

    Step 3

    Positive X = inductive, negative X = capacitive

  4. 4

    Step 4

    View impedance magnitude and phase angle

Use Cases

Analyzing AC circuit behavior

Matching impedances for maximum power transfer

Designing filters and tuned circuits

Calculating power factor from impedance

Tips

  • 1

    Impedance Z combines R and X vectorially

  • 2

    Phase angle shows current-voltage relationship

  • 3

    Inductive circuits: current lags voltage (positive angle)

  • 4

    Capacitive circuits: current leads voltage (negative angle)

Common Mistakes

  • Adding R and X directly instead of using vector sum

  • Confusing impedance with resistance (Z ≠ R for AC)

  • Forgetting reactance sign convention

  • Not considering frequency dependence of reactance

FAQs

What is the difference between impedance and resistance?

Resistance opposes DC and AC equally. Impedance includes resistance plus reactance (from inductors/capacitors). Z = R for purely resistive circuits; Z = √(R² + X²) otherwise.

Why does phase angle matter?

Phase angle determines power factor (cos φ). At 0°, all power is useful. At 90°, no real power is delivered - it just oscillates. Phase angle affects circuit efficiency.

How do I use impedance for power calculations?

Power = V²/Z × cos(φ) or I²Z × cos(φ). The cos(φ) term is the power factor. Only the resistive component of impedance dissipates real power.