Series Parallel Impedance Conversion Calculator

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Series - Parallel Impedance Conversion Calculator

This calculator converts impedance between equivalent series and parallel forms at a selected frequency. It is useful for RF circuits, matching networks, resonant circuits, filter design, and component modeling.

Frequency

Series Impedance

Series Resistance (Rs)

Series Capacitance (Cs)

Series Inductance (Ls)

Parallel Impedance

Parallel Resistance (Rp)

Parallel Capacitance (Cp)

Parallel Inductance (Lp)

Equations Used

Series to Parallel:

Rp = (Rs² + Xs²) / Rs

Xp = (Rs² + Xs²) / Xs

Parallel to Series:

Rs = Rp × Xp² / (Rp² + Xp²)

Xs = Rp² × Xp / (Rp² + Xp²)

Reactance:

XC = -1 / (2πfC)

XL = 2πfL

Frequently Asked Questions (FAQ)

Q1: What does this calculator do?
It converts an impedance between its equivalent series and parallel representation at a given frequency.

Q2: Why is frequency required?
Capacitive and inductive reactance depend on frequency, so the equivalent impedance changes when frequency changes.

Q3: Should I enter capacitance or inductance?
Enter either capacitance or inductance for each side. Capacitance represents negative reactance, while inductance represents positive reactance.

Q4: What does Q mean?
Q, or quality factor, describes the ratio between reactance and resistance.

Q5: Can this be used for RF matching?
Yes, it is commonly useful for RF impedance transformation and matching-network calculations.

Disclaimer: This calculator is intended for engineering reference only. Real circuits may be affected by component tolerance, parasitic capacitance, parasitic inductance, PCB layout, temperature, and frequency-dependent losses. Always verify critical designs with simulation and physical testing.

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