- Formulas
- Series to Parallel RL Network
- Series to Parallel RC Network
- Parallel to Series RL Network
- Parallel to Series RC Network

#### Series to Parallel – RL Network

\[ X_L = 2\pi f L \]

\[ R_p = (Q^2 + 1) R_s \]

\[ L = \frac{X_L}{2\pi f} \]

\[ X_p = \frac{R_p}{Q_p} \]

\[ Q_s = \frac{X_s}{R_s} \]

\[ Q_p = \frac{R_p}{X_p} \]

#### Series to Parallel – RC Network

\[ X_c = \frac{1}{2\pi f C} \]

\[ Q_s = \frac{X_s}{R_s} \]

\[ R_p = (Q^2 + 1) R_s \]

\[ X_p = \frac{R_p}{Q_p} \]

\[ C = \frac{1}{2\pi f X_c} \]

#### Parallel to Series – RL Network

\[ X_L = 2\pi f L \]

\[ Q_p = \frac{R_p}{X_p} \]

\[ R_s = \frac{R_p}{Q^2 + 1} \]

\[ X_s = Q_s \cdot R_s \]

\[ L = \frac{X_L}{2\pi f} \]

#### Parallel to Series – RC Network

\[ X_c = \frac{1}{2\pi f C} \]

\[ Q_p = \frac{R_p}{X_p} \]

\[ R_s = \frac{R_p}{Q^2 + 1} \]

\[ X_s = Q_s \cdot R_s \]