# Voltage Divider Calculator

Input voltage from the battery and the value of two resistors of different resistance to find the output voltage of the circuits.

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Ohms
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## Voltage Divider Calculator

Voltage Divider Calculator is used to find the output voltage of the voltage divider circuit.

## What is the Voltage divider?

A voltage divider is a simple circuit that consists of two resistors connected in series with the voltage battery to find the output voltage of the circuits. It is commonly used to obtain a desired output voltage from a given input voltage.

### Formula of the Output Voltage:

The output voltage (Vout) of voltage divider circuits can be determined using the below formula.

Vout = (Vin × Rb) / (Ra + Rb)

Where,

• Vout = out-put voltage series circuit
• Vin = input voltage of the series circuit
• Ra = value of the first resistor (in ohm)
• Rb = value of the second resistor (in ohm)

## How to evaluate the output voltage?

Example 1:

Let's assume we have two resistors, resistor one with a value of 4 kilohms (kΩ) and resistor two with a value of 6 kilohms (kΩ). Suppose the input voltage (Vin) of circuits is 12 volts then calculate the output voltage (Vout) using a voltage divider circuit.

Solution:

Step 1:

Write the data from the above conditions.

Vin = 12 volts, Ra = 4 kΩ, Rb = 6 kΩ, Vout=?

Step 2:

Write the formula of the voltage divider.

Vout = (Vin × Rb) / (Ra + Rb)

Step 3:

Substitute the values into the above formula.

Vin = 12, Ra = 4, Rb = 6

Vout = (Vin × Rb) / (Ra + Rb)

Vout = (12 ×6) / (4 + 6))

Vout = (12 × 6) / (10)

Vout = 72/10

Vout = 7.2 volts

Example 2:

Let's assume we have two resistors, resistor one with a value of 3 kilohms (kΩ) and resistor two with a value of 1 kilohm (kΩ). Suppose the input voltage (Vin) of circuits is 9 volts then calculate the output voltage (Vout) using a voltage divider circuit.

Solution:

Step 1:

Write the data from the above conditions.

Vin = 9 volts, R1 = 3 kΩ, R2 = 1 kΩ, Vout=?

Step 2:

Write the formula of the voltage divider.

Vout = (Vin × Rb) / (Ra + Rb)

Step 3:

Substitute the values into the above formula.

Vin = 9, Ra = 3, Rb = 1.

Vout = (Vin × Rb) / (Ra + Rb)

Vout = (9 × 1) / (3 + 1))

Vout = (9 × 1) / (4)

Vout = 9/4

Vout = 2.25 volts