Electronics Fundamentals/Resistors Networks

Resistor in Parallel

\frac{1}{R_{t}} = \frac{1}{R_{1}} + \frac{1}{R_{2}} + . . . . + \frac{1}{R_{n}}

\frac{v_{o}}{v_{i}} = \frac{R_{2}}{R_{2} + R_{1}}

\frac{v_{o}}{v_{i}} = \frac{R_{3} + R_{2}}{R_{1} + R_{2}}

\frac{v_{o}}{v_{i}} = \frac{R_{3}}{R_{1}} (\frac{R_{3} - R_{2}}{R_{1} - R_{2}})