Voltage Divider

Written by Jerry Ratzlaff on . Posted in Electrical Engineering

Voltage divider is two resistances connected in series across a supply voltage.

 

Voltage Divider formulas

\(\large{ V_o =   \frac { R_2 }{ R_1 \;+\: R_2 } \;  V_i   }\)   
\(\large{ V_o =   \frac { 1 }{ 2 } \;  V_i \;\; }\) if \(\large{ \;\; R_1 = R_2   }\)   
\(\large{ V_o =   I  \; R_2   }\)   

Where:

\(\large{ V_o }\) = output voltage

\(\large{ V_i }\) = input voltage

\(\large{ R_1 }\) = resistance

\(\large{ R_2 }\) = resistance

\(\large{ I_o }\) = output current

\(\large{ I_i }\) = input current

Solve for:

\(\large{ V_i =   I  \; { R_1 \;+\: R_2 }   }\)

\(\large{ I_o =   \frac { V_i }{ R_1 \;+\: R_2 } \; I_i  }\)

 

Tags: Equations for Electrical