Electronics/Electronics Formulas/2 Port Network

RL

${\frac {v_{o}}{v_{i}}}={\frac {j\omega L}{R+j\omega L}}$

${\frac {v_{o}}{v_{i}}}={\frac {j\omega T}{1+j\omega T}}$

$T={\frac {L}{R}}$

LR

${\frac {v_{o}}{v_{i}}}={\frac {R}{R+j\omega L}}$

${\frac {v_{o}}{v_{i}}}={\frac {1}{1+j\omega T}}$

$T={\frac {L}{R}}$

RC

${\frac {v_{o}}{v_{i}}}={\frac {\frac {1}{j\omega C}}{R+{\frac {1}{j\omega C}}}}$

${\frac {v_{o}}{v_{i}}}={\frac {1}{1+j\omega T}}$

$T=RC$

CR

${\frac {v_{o}}{v_{i}}}={\frac {R}{R+{\frac {1}{j\omega C}}}}$

${\frac {v_{o}}{v_{i}}}={\frac {j\omega T}{1+j\omega T}}$

$T=RC$

LR - CR

${\frac {v_{o}}{v_{i}}}=({\frac {1}{1+j\omega {\frac {L}{R}}}})({\frac {j\omega RC}{1+j\omega RC}})$

$\omega _{2}-\omega _{1}={\frac {R}{L}}-{\frac {1}{RC}}$

CR - LR

${\frac {v_{o}}{v_{i}}}=({\frac {1}{1+j\omega RC}})({\frac {j\omega {\frac {L}{R}}}{1+j\omega {\frac {L}{R}}}})$

$\omega _{2}-\omega _{1}={\frac {R}{L}}-{\frac {1}{RC}}$