A voltage divider calculator with three resistors is a tool that helps determine the output voltage distributed among the resistors in a circuit. This calculator is crucial for designing circuits where precise voltage distribution is needed, such as in signal conditioning applications or adjustable power supplies.
Formula of Voltage Divider Calculator 3 Resistors
To calculate the voltage distribution in a circuit involving three resistors, consider two separate voltage dividers:
- First, analyze the first resistor (R1) along with the combination of the other two resistors (R2 and R3) connected in parallel. This setup is treated as a simple voltage divider with R1 and the equivalent resistance of (R2||R3).
- Next, examine another voltage divider formed by the second resistor (R2) and the parallel combination of the remaining resistors (R1 and R3).
Calculate the equivalent resistance:
To determine the equivalent resistance of R2 and R3 in parallel, use the formula: (Equivalent Resistance = (R2 * R3) / (R2 + R3))
Apply the voltage divider formula for each section:
The general voltage divider formula is: (Vout = (Rin / (Rin + Rtotal)) * Vin) Apply this formula twice to find the voltage across R1 and R2:
- For R1: (Rin = R1, Rtotal = equivalent resistance of (R2||R3))
- For R2: (Rin = R2, Rtotal = equivalent resistance of (R1||R3))
Table for General Terms
Term | Definition | Example Values |
---|---|---|
Voltage Input (Vin) | The total voltage supplied to the circuit | 5V, 12V, 24V |
Resistor (R) | A component that resists the flow of electrical current | 1kΩ (1000 Ohms), 2kΩ (2000 Ohms) |
Output Voltage (Vout) | The voltage measured across one or more resistors in the divider | Depending on division ratio |
Equivalent Resistance | The combined resistance of two or more resistors in parallel | Calculated via specific formula |
Division Ratio | The ratio that determines how the input voltage is split | Depends on resistor values |
Example of Voltage Divider Calculator 3 Resistors
Provide a practical example using the calculator. For instance, calculate the output voltages in a circuit with R1 = 1000 Ohms, R2 = 2000 Ohms, and R3 = 3000 Ohms when the input voltage (Vin) is 12 volts. Detail the steps to illustrate how the voltages are distribute across the resistors.
Most Common FAQs
A voltage divider is a simple circuit that turns a large voltage into a smaller one using two series resistors.
Adding a third resistor can further divide the voltage and provide additional tapping points for different voltage levels. Useful in more complex circuits.
Yes, any resistors can be use, but their values determine the ratio of the voltage division, affecting the output voltages.