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Voltage Divider Formula

Voltage divider is an electric circuit consisting of two resistors and one input voltage supply. The simple circuit of a voltage divider is illustrated below. Two resistors are connected in series. Simply we can say that output voltage of a voltage divider is a function of input voltage. This circuit helps to find out how input voltage divides among the components in the circuit.

Voltage Divider Circuit
The formula of voltage divider is,
Voltage Divider Formula
Where Ra and Rb are the resistors
Vin is the input voltage

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Voltage Divider Problems

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Let us discuss the problems related to voltage divider.

Solved Examples

Question 1: Calculate the output voltage of a voltage divider circuit whose Ra and Rb are 4Ω and 6Ω respectively and input voltage is 15v?
Solution:
 
Given parameters are,
Ra = 4Ω, Rb = 6Ω and Vin = 15V
Voltage divider formula is given as,
$V_{out}$ = $\frac{R_{b}}{R_{a}+R_{b}}$$V_{in}$

$V_{out}$ = $\frac{6}{4+6}$$\times$15

$V_{out}$ = 0.6$\times$15 = 9V

 

Question 2: If the input voltage of a voltage divider is 10V and the resisters are 3Ω and 5Ω. Calculate the output voltage?
Solution:
 
Given parameters are,
Ra = 3Ω, Rb = 5Ω and Vin = 10V
Voltage divider formula is given as,
$V_{out}$ = $\frac{R_{b}}{R_{a}+R_{b}}$$V_{in}$

$V_{out}$ = $\frac{5}{3+5}$$\times$10

$V_{out}$ = 0.625$\times$10 = 6.25V

 

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