# Practical Electronics/Voltage Divider

## Intro

A network of two resistors connected as shown

## Analysis

Vo = I R2
${\displaystyle I={\frac {V_{i}}{R_{1}+R_{2}}}}$
${\displaystyle V_{o}=IR_{2}={\frac {R_{2}}{R_{1}+R_{2}}}V_{i}}$

## Formula

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

## Choosing Value for R

• R2
R2 = 0 , Vo = 0
R2 >> R1 , Vo = Vi
• R1
R1 = 0 , Vo = Vi
R1 >> R2 , Vo = 0
• R1 = R2
Vo = ½ Vi
When R1 = R2 , the output voltage is exactly halved of the input voltage

## Summary

There is no gain for this network, since Vo never greater than Vi .

This network can be used as Voltage Attenuator, Voltage Follower, Voltage Halved, or Voltage Ground

• When the value of R2 > R1, this network acts as Voltage Attenuator
• When the value of R2 = 0 or R1 >> R2, this network acts as Voltage Ground
• When the value of R1 = 0 or R1 >> R2, this network acts as Voltage Follower
• When the value of R2 = R1 = R then this network acts as Voltage Halved