# Practical Electronics/T Network

## Intro

A network consist of three resistors connected like a T

## Analysis

${\displaystyle V=V_{i}{\frac {R_{2}}{R_{2}+R_{1}}}=V_{o}{\frac {R_{2}}{R_{2}+R_{3}}}}$
${\displaystyle V_{o}=V_{i}{\frac {R_{3}+R_{2}}{R_{1}+R_{2}}}}$

## Formula

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

## Choosing Resistance's Value

• R2 = 0
The fomula above now becomes
${\displaystyle V_{o}=V_{i}{\frac {R_{3}}{R_{1}}}}$
R3 > R1 , Vo > V1 . This network acts as Voltage Amplifier
R3 = R1 , Vo = V1 . This network acts as Voltage Follower
R3 < R1 , Vo < V1 . This network acts as Voltage Attenuator
• R3 = 0
The fomula above now becomes
${\displaystyle V_{o}=V_{i}{\frac {R_{2}}{R_{2}+R_{1}}}}$
This network acts as Voltage Attenuator
• R1 = 0
The fomula above now becomes
${\displaystyle V_{o}=V_{i}{\frac {R_{3}+R_{2}}{R_{2}}}}$
This network acts as Voltage Amplifier 1 + ${\displaystyle {\frac {R_{3}}{R_{2}}}}$

## Summary

This network can be used as Voltage Amplifier, Voltage Follower, Voltage Attenuator by choosing the right value for the resistors