Electronics Handbook/Circuits/π

Configuration

Circuit of 3 resistors connected like a pie π

I_R1 = I_R2 + I_R3

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

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

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