Voltage Divider Formula

The voltage divider is the series of resistors or capacitors that can be tapped at any intermediate point to generate a specific fraction of the voltage applied between its ends.

It consists of an electric circuit composed of two resistors and one input voltage supply. Below figure shows a simple voltage divider. In this circuit, two resistors are connected in series. The output voltage of the voltage divider is a function of the input voltage. This circuit helps to determine how the input voltage divides among the components in the circuit.

Voltage Divider Circuit Diagram

The voltage divider formula is given by,

Voltage Divider Formula

Where,

Vout = output voltage

Ra and Rb = resistors

Vin = input voltage

Solved Examples

Example 1

Determine the output voltage of the voltage divider circuit whose Ra and Rb are 6Ω and 8Ω respectively and the input voltage is 10v.

Solution:

Given:

Ra = 6Ω,

Rb = 8Ω

Vin = 10V

Voltage divider formula is given by,

Voltage Divider Formula

= [8 / (6 + 8)] 10

Vout = 5.71V

Example 2

The value of the input voltage of a voltage divider is 20V, and the resistors are 5Ω and 7Ω. Determine the output voltage.

Solution:

Given:

Ra = 5Ω,

Rb = 7Ω

Vin = 20V

Voltage divider formula is given by,

Voltage Divider Formula

=[ 7 /( 5 + 7 )]20

Vout = 11.66V

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