The voltage divider is quite a simple yet powerful electronic circuit configuration used to obtain a desired output voltage from a larger input voltage. It does have an extremely important role in almost every type of application, which includes the most basic electronic circuit to a very complex system.

It is one kind of circuit that lowers the input voltage to an output voltage of much less value. The two resistors, one after the other in series, are used for lowering the input voltage. The output voltage is taken at the junction of the two resistors. Such a voltage divider is widely used to adjust levels of voltage, for biasing transistors, and for reference voltages.

Formula 

The voltage divider formula is given by,

Where,

• Vout is the output voltage

• Ra and Rb are the resistors

• Vin is the input voltage

Solved Problems

Problem 1:Determine the output voltage of the voltage divider circuit whose Ra and Rb are 6 Ω and 8 Ω respectively and the input voltage is 10v.

Solution:

Given,

Ra = 6Ω,

Rb = 8Ω

Vin = 10V

The voltage divider formula is given by,

      = [8 / (6 + 8)] 10

Vout = 5.71V

Problem 2: The value of the input voltage of a voltage divider is 20V, and the resistors are 5 Ω and 7 Ω. Determine the output voltage.

Solution:

Given,

Ra = 5 Ω

Rb = 7 Ω

Vin = 20V

The voltage divider formula is given by,

            = [ 7 /( 5 + 7 )]20

Vout = 11.66V

 

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