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}}

{\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}}

{\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

{\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

{\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}}

{\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}}

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