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# 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.

## 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 (V_{out}) of voltage divider circuits can be determined using the below formula.

**V _{out} = (V_{in} **

**× R**

_{b}) / (R_{a}+ R_{b})Where,

- V
_{out}= out-put voltage series circuit - V
_{in}= input voltage of the series circuit - R
_{a}= value of the first resistor (in ohm) - R
_{b}= 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 (V_{in}) of circuits is 12 volts then calculate the output voltage (V_{out}) using a voltage divider circuit.

**Solution:**

**Step 1: **

**Write the data from the above conditions.**

V_{in }= 12 volts, R_{a} = 4 kΩ, R_{b} = 6 kΩ, V_{out}=?

**Step 2:**

**Write the formula of the voltage divider.**

V_{out} = (V_{in} × R_{b}) / (R_{a} + R_{b})

**Step 3: **

**Substitute the values into the above formula.**

V_{in }= 12, R_{a} = 4, R_{b} = 6

V_{out} = (V_{in} × R_{b}) / (R_{a} + R_{b})

V_{out} = (12 ×6) / (4 + 6))

V_{out} = (12 × 6) / (10)

V_{out} = 72/10

**V _{out }= 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 (V_{in}) of circuits is 9 volts then calculate the output voltage (V_{out}) using a voltage divider circuit.

**Solution:**

**Step 1:**

**Write the data from the above conditions.**

V_{in} = 9 volts, R_{1} = 3 kΩ, R_{2} = 1 kΩ, V_{out}=?

**Step 2:**

**Write the formula of the voltage divider.**

V_{out} = (V_{in} × R_{b}) / (R_{a} + R_{b})

**Step 3: **

**Substitute the values into the above formula.**

V_{in} = 9, R_{a} = 3, R_{b} = 1.

V_{out} = (V_{in} × R_{b}) / (R_{a} + R_{b})

V_{out} = (9 × 1) / (3 + 1))

V_{out} = (9 × 1) / (4)

V_{out} = 9/4

**V _{out} = 2.25 volts**