Electronics Fundamentals/Resistors Networks

Resistor in Parallel

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

Voltage Divivider

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

Current Divider

Pie Network

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

Tee Network

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

Wien Bridge Network