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Series and parallel RL/RC network converter

This tool provides real-time and precise data conversion and analysis of series and parallel configurations of resistor-inductor (RL) and resistor-capacitor (RC) circuits to calculate impedance, reactance, and component values.

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Series to Parallel – RL Network

Series to Parallel – RL Network Image
\[ X_L = 2\pi f L \]
\[ R_p = (Q^2 + 1) R_s \]
\[ L = \frac{X_L}{2\pi f} \]
\[ X_p = \frac{R_p}{Q_p} \]
\[ Q_s = \frac{X_s}{R_s} \]
\[ Q_p = \frac{R_p}{X_p} \]

Series to Parallel – RC Network

Series to Parallel – RC Network Image
\[ X_c = \frac{1}{2\pi f C} \]
\[ Q_s = \frac{X_s}{R_s} \]
\[ R_p = (Q^2 + 1) R_s \]
\[ X_p = \frac{R_p}{Q_p} \]
\[ C = \frac{1}{2\pi f X_c} \]

Parallel to Series – RL Network

Parallel to Series – RL Network Image
\[ X_L = 2\pi f L \]
\[ Q_p = \frac{R_p}{X_p} \]
\[ R_s = \frac{R_p}{Q^2 + 1} \]
\[ X_s = Q_s \cdot R_s \]
\[ L = \frac{X_L}{2\pi f} \]

Parallel to Series – RC Network

Parallel to Series – RC Network Image
\[ X_c = \frac{1}{2\pi f C} \]
\[ Q_p = \frac{R_p}{X_p} \]
\[ R_s = \frac{R_p}{Q^2 + 1} \]
\[ X_s = Q_s \cdot R_s \]

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