Voltage Divider Calculator

The Formula

The formula for calculating the output voltage of a voltage divider is:

\[V_{out} = \frac{R_2}{R_1 + R_2} \times V_{in}\]

Where:

• V_out: The output voltage
• V_in: The input voltage
• R₁: The resistance of the first resistor
• R₂: The resistance of the second resistor

Calculation Steps

1. Identify the input voltage (V_in) and resistor values (R₁ and R₂)
2. Insert these values into the formula:
3. V_out = (R₂ / (R₁ + R₂)) × V_in
4. Perform the calculation to get the output voltage

Example Calculation

Let's calculate the output voltage for a voltage divider with V_in = 12V, R₁ = 1000Ω, and R₂ = 2000Ω:

\[V_{out} = \frac{2000\Omega}{1000\Omega + 2000\Omega} \times 12V = 8V\]

Visual Representation

This visual shows a voltage divider circuit with the input voltage, resistor values, and calculated output voltage based on our example calculation.