**Voltage Divider Formula**

The voltage divider is the series of resistors or capacitors which 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 input voltage. This circuit helps to determine how the input voltage divides among the components in the circuit.

The** voltage divider formula** is given by,

Where,

** R_{a} **and

**= resistors**

*R*_{b}** V_{in}** = input voltage

**Example 1**

Determine the output voltage of the voltage divider circuit whose R_{a} and R_{b} are 6Ω and 8Ω respectively and input voltage is 10v.

**Solution:**

Given:

R_{a} = 6Ω,

R_{b }= 8Ω

V_{in }= 10V

**Voltage divider formula is given by,**

V_{o}ut = R_{b} / R_{a}+R_{b} V_{i}n

= 8 / 6 + 8 x 10

V_{out} = 5.71V

**Example 2**

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

**Solution:**

Given:

R_{a} = 5Ω,

R_{b} = 7Ω

V_{in} = 20V

**Voltage divider formula is given by,**

Vout = Rb / Ra+Rb Vin

= 7 / 5 + 7 x 20

Vout = 11.66V