Electronics/Electronics Formulas/2 Port Network

RL

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

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

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

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

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

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

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

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

$T = RC$

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

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

$T = RC$

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

$\omega_2 - \omega_1 = \frac{R}{L} - \frac{1}{RC}$

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

$\omega_2 - \omega_1 = \frac{R}{L} - \frac{1}{RC}$