Voltage Divider

Written by Jerry Ratzlaff. Posted in Electrical

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

formula

\(V_o =   \frac { R_2   }   { R_1 \; + \: R_2 }   V_i   \)

\(V_o =   \frac { 1   }   { 2 }   V_i \;\) if \( \; R_1 = R_2   \)

\(V_o =   I   R_2   \)

Where:

\(V_o\) = output voltage

\(V_i\) = input voltage

\(R_1\) = resistance

\(R_2\) = resistance

\(I_o\) = output current

\(I_i\) = input current

Solve for:

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

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