Electronics/Electronics Formulas/2 Port Network

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RL[edit]

\frac{v_o}{v_i} = \frac{j \omega L}{R + j \omega L}
\frac{v_o}{v_i} = \frac{j \omega T}{1 + j \omega T}
T = \frac{L}{R}


LR[edit]

\frac{v_o}{v_i} = \frac{R}{R + j \omega L}
\frac{v_o}{v_i} = \frac{1}{1 + j \omega T}
T = \frac{L}{R}

RC[edit]

\frac{v_o}{v_i} = \frac{\frac{1}{j \omega C}}{R + \frac{1}{j \omega C}}
\frac{v_o}{v_i} = \frac{1}{1 + j \omega T}
T = RC

CR[edit]

\frac{v_o}{v_i} = \frac{R}{R + \frac{1}{j \omega C}}
\frac{v_o}{v_i} = \frac{j \omega T}{1 + j \omega T}
T = RC

LR - CR[edit]

\frac{v_o}{v_i} = (\frac{1}{1 + j\omega \frac{L}{R}})(\frac{j \omega RC }{1 + j \omega RC})
\omega_2 - \omega_1 = \frac{R}{L} - \frac{1}{RC}

CR - LR[edit]

\frac{v_o}{v_i} = (\frac{1}{1 + j\omega RC})(\frac{j \omega \frac{L}{R}}{1 + j \omega \frac{L}{R}})
\omega_2 - \omega_1 = \frac{R}{L} - \frac{1}{RC}