1 Answer
A **voltage divider calculator** is a tool that helps you calculate the output voltage in a simple voltage divider circuit. A voltage divider is a basic electrical circuit made up of two resistors connected in series. The purpose of this circuit is to divide the input voltage into smaller output voltages based on the resistance values.
In a voltage divider circuit:
- The total input voltage (\(V_{in}\)) is applied across the two resistors.
- The output voltage (\(V_{out}\)) is taken from the junction between the two resistors.
The formula to calculate the output voltage in a voltage divider circuit is:
\[
V_{out} = V_{in} \times \frac{R_2}{R_1 + R_2}
\]
Where:
- \(V_{in}\) is the input voltage,
- \(R_1\) is the resistance of the first resistor,
- \(R_2\) is the resistance of the second resistor,
- \(V_{out}\) is the output voltage.
### How it works:
1. **Input Voltage**: You provide the input voltage (\(V_{in}\)) and the values for the resistors \(R_1\) and \(R_2\).
2. **Output Calculation**: The calculator uses the formula to calculate the output voltage (\(V_{out}\)) based on the input values.
### Example:
If you have an input voltage of 12V, \(R_1 = 10k\Omega\), and \(R_2 = 10k\Omega\), the output voltage will be:
\[
V_{out} = 12V \times \frac{10k\Omega}{10k\Omega + 10k\Omega} = 12V \times \frac{1}{2} = 6V
\]
So, the output voltage will be 6V.
A voltage divider calculator simplifies this process by quickly giving you the correct output voltage when you input the values for \(V_{in}\), \(R_1\), and \(R_2\).
In a voltage divider circuit:
- The total input voltage (\(V_{in}\)) is applied across the two resistors.
- The output voltage (\(V_{out}\)) is taken from the junction between the two resistors.
The formula to calculate the output voltage in a voltage divider circuit is:
\[
V_{out} = V_{in} \times \frac{R_2}{R_1 + R_2}
\]
Where:
- \(V_{in}\) is the input voltage,
- \(R_1\) is the resistance of the first resistor,
- \(R_2\) is the resistance of the second resistor,
- \(V_{out}\) is the output voltage.
### How it works:
1. **Input Voltage**: You provide the input voltage (\(V_{in}\)) and the values for the resistors \(R_1\) and \(R_2\).
2. **Output Calculation**: The calculator uses the formula to calculate the output voltage (\(V_{out}\)) based on the input values.
### Example:
If you have an input voltage of 12V, \(R_1 = 10k\Omega\), and \(R_2 = 10k\Omega\), the output voltage will be:
\[
V_{out} = 12V \times \frac{10k\Omega}{10k\Omega + 10k\Omega} = 12V \times \frac{1}{2} = 6V
\]
So, the output voltage will be 6V.
A voltage divider calculator simplifies this process by quickly giving you the correct output voltage when you input the values for \(V_{in}\), \(R_1\), and \(R_2\).