Engineering
Voltage Divider Calculator
Enter the input voltage and two resistor values to get the output voltage and current.
Output
Output Voltage (Vout)
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Current (I)
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Formulas
Output Voltage (Vout)
Vout = Vin × R2 / (R1 + R2)
Voltage measured across R2, the bottom resistor
Current (I)
I = Vin / (R1 + R2)
Current flowing through both resistors in series
Voltage Ratio
Vout / Vin = R2 / (R1 + R2)
Fraction of the input voltage that appears at the output
Power Dissipated
P = Vin² / (R1 + R2)
Total power drawn from the source by the divider
How a Voltage Divider Works
Series resistors split the voltage
Vin is applied across R1 and R2 in series. Because the same current flows through both, the voltage drops proportionally to each resistance — Vout is the share of Vin that falls across R2.
Ratio matters more than absolute value
Doubling both R1 and R2 leaves Vout unchanged, since only the ratio R2 / (R1 + R2) sets the output — but it also halves the current and power drawn from the source.
Loading effect: attaching a low-impedance load across R2 pulls Vout below this calculated value — this formula assumes no current is drawn from the output node.
FAQ
Frequently asked questions.
How do you calculate a voltage divider?
A voltage divider splits an input voltage across two resistors in series. The output voltage across R2 is Vout = Vin × R2 / (R1 + R2) — the fraction R2/(R1+R2) determines how much of the input voltage appears at the output. For example, with Vin = 9V, R1 = 1kΩ, and R2 = 2kΩ, Vout = 9 × 2000/3000 = 6V.
What is the voltage divider formula?
The voltage divider formula is Vout = Vin × R2 / (R1 + R2), where Vin is the input voltage, R1 is the resistor connected to the input side, and R2 is the resistor connected to ground. The output voltage is measured across R2. For example, with Vin = 9 V, R1 = 1 kΩ, and R2 = 2 kΩ, Vout = 9 × 2000 / (1000 + 2000) = 6 V.
How do I calculate the current through a voltage divider?
Because R1 and R2 are in series, the same current flows through both resistors. That current is found with Ohm's law applied to the total resistance: I = Vin / (R1 + R2). Using the 9 V, 1 kΩ, 2 kΩ example, I = 9 / (1000 + 2000) = 0.003 A, or 3 mA.
Why does the output voltage drop when you add a load resistor?
The simple voltage divider formula assumes nothing else draws current from the R1–R2 junction. If you connect a load (like a sensor or another circuit) across R2, it forms a parallel combination with R2, lowering the effective resistance on that leg and pulling Vout down below the unloaded value. This is often called the 'loading effect,' and it's why voltage dividers are best used to feed high-impedance inputs (like an op-amp or ADC) rather than to directly power a component that draws significant current.
How do I choose resistor values for a voltage divider?
First decide the desired Vout/Vin ratio, which fixes the ratio R2 / (R1 + R2). Then pick an absolute resistance scale: smaller resistors (hundreds of ohms) draw more current and dissipate more power but resist noise and loading effects better; larger resistors (tens to hundreds of kΩ) save power but make the output more sensitive to whatever load is attached. A common compromise for signal-level dividers is to keep R1 and R2 in the 1 kΩ–100 kΩ range.
Can a voltage divider be used to step down voltage for a microcontroller input?
Yes, this is one of the most common uses — for example, dividing a 5 V sensor signal down to 3.3 V for a microcontroller's ADC pin. Choose R1 and R2 so that Vout = Vin × R2 / (R1 + R2) equals your target voltage at the expected input voltage, and keep the resistor values small enough (relative to the input impedance of the ADC) that loading error stays negligible.
What is the power dissipated in a voltage divider?
Each resistor dissipates power according to P = I² × R, where I is the current flowing through the divider (I = Vin / (R1 + R2)). The total power drawn from the source is P = Vin × I = Vin² / (R1 + R2). This continuous power draw is the main downside of resistive voltage dividers compared to active regulators, especially when R1 + R2 is small.
Last updated: August 17, 2026