Potential Divider Output Voltage Calculator

The Formula

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

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

Where:

• V_out: Output voltage (V)
• V_in: Input voltage (V)
• R₁: Resistance of the first resistor (Ω)
• R₂: Resistance of the second resistor (Ω)

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 = V_in × (R₂ / (R₁ + R₂))
4. Perform the calculation to get the output voltage

Example Calculation

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

\[V_{out} = 12V \times \frac{2000\Omega}{1000\Omega + 2000\Omega} = 12V \times \frac{2000\Omega}{3000\Omega} = 12V \times \frac{2}{3} = 8V\]

Visual Representation

This visual shows a potential divider circuit with the input voltage of 12V and the calculated output voltage of 8V.