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Complex Impedance Calculator

Complex Impedance Calculator

Calculate complex impedance, magnitude, phase angle, and reactance values for ideal series or parallel RLC circuits at a selected frequency.

Input Parameters

Choose how R, L, and C are connected.
Ω
Set R to 0 only if the branch is absent in parallel mode.
µH
Use 0 if no inductor is present.
nF
Use 0 if no capacitor is present.
Hz
Signal frequency for reactance and impedance calculation.

Results

Real Part
--
Imaginary Part
--
Impedance Magnitude
--
Phase Angle
--
XL / XC
--
Circuit Note
--

Equations Used

Inductive Reactance: XL = 2πfL

Capacitive Reactance: XC = 1 / (2πfC)

Series Impedance: Z = R + j(XL - XC)

Parallel Impedance: Z = 1 / (1/R + 1/jXL + 1/(-jXC))

Magnitude and Phase: |Z| = √(Re² + Im²), θ = atan2(Im, Re)

Frequently Asked Questions (FAQ)

Q1: What is complex impedance?
Complex impedance represents both resistance and reactance, showing magnitude and phase of an AC circuit.

Q2: What does a positive imaginary part mean?
Positive imaginary impedance is inductive; negative imaginary impedance is capacitive.

Q3: Why does impedance depend on frequency?
Inductor and capacitor reactance change with frequency, so total impedance changes as frequency changes.

Q4: Can this calculate speaker or RF impedance?
It can model ideal RLC networks, but real speakers, antennas, and RF networks often require measured or frequency-dependent models.

Q5: Why is parallel impedance harder than series impedance?
Parallel networks combine admittances rather than direct impedances, so complex reciprocal calculations are required.

Q6: Can I leave L or C as zero?
Yes. A zero value is treated as an absent inductor or capacitor branch where possible.

Disclaimer: This calculator uses ideal lumped R, L, and C models. Real components include parasitic resistance, ESR, ESL, self-resonance, tolerance, temperature drift, and frequency-dependent behavior.
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