# Voltage Dividers and Current Dividers

7-1: Series Voltage Dividers
7-2: Current Dividers with Two Parallel Resistances
7-3: Current Division by Parallel Conductances
7-4: Series Voltage Divider with Parallel Load Current
7-5: Design of a Loaded Voltage Divider

## 7-1: Series Voltage Dividers

• VT is divided into IR voltage drops that are proportional to the series resistance values.
•  Each resistance provides an IR voltage drop equal to its proportional the part of applied voltage:

•  This formula can be used for any number of the series resistances because of the direct proportion between each voltage drop V and its resistance R.
•  The largest series R has the largest IR voltage drop.

## 7-1: Series Voltage Dividers

• The Largest Series R Has the Most V

## 7-1: Series Voltage Dividers

• Voltage Taps in a Series Voltage Divider
• Different voltages are the available at voltage taps A, B, and C.
• The voltage at each tap point is the measured with respect to ground.
• Ground is the reference point.

Fig. 7-2b: Series voltage divider with voltage taps

## 7-3: Current Division by Parallel Conductances

• For any number of parallel branches, IT is divided into
the currents that are proportional to the conductance of the
branches.
• For a branch having conductance G:

## 7-4: Series Voltage Divider with Parallel Load Current

Voltage dividers are often used to tap off the part of applied voltage for a load that needs less than the total voltage.