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

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

Where:

 Units English Metric
\(\large{ V_o }\) = output voltage \(\large{I\;R}\) \(\large{V}\)
\(\large{ V_i }\) = input voltage \(\large{I\;R}\) \(\large{V}\)
\(\large{ R_1 }\) = resistance \(\large{\frac{V}{I}}\) \(\large{R}\)
\(\large{ R_2 }\) = resistance \(\large{\frac{V}{I}}\) \(\large{\Omega}\)
\(\large{ I_o }\) = output current \(\large{\frac{V}{R}}\) \(\large{I}\)
\(\large{ I_i }\) = input current \(\large{\frac{V}{R}}\) \(\large{I}\)

Solve for:

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

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

 

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Tags: Electrical Equations