# Electronics/Electronics Formulas/2 Port Network

## RLEdit

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

## LREdit

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

## RCEdit

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

## CREdit

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

## LR - CREdit

${\displaystyle {\frac {v_{o}}{v_{i}}}=({\frac {1}{1+j\omega {\frac {L}{R}}}})({\frac {j\omega RC}{1+j\omega RC}})}$
${\displaystyle \omega _{2}-\omega _{1}={\frac {R}{L}}-{\frac {1}{RC}}}$

## CR - LREdit

${\displaystyle {\frac {v_{o}}{v_{i}}}=({\frac {1}{1+j\omega RC}})({\frac {j\omega {\frac {L}{R}}}{1+j\omega {\frac {L}{R}}}})}$
${\displaystyle \omega _{2}-\omega _{1}={\frac {R}{L}}-{\frac {1}{RC}}}$