Voltage Divider Formula Calculator

Design accurate voltage dividers, solve unknown values, evaluate loading, choose standard resistors, inspect power, and prepare safer ADC measurement circuits with confidence every time.

Loaded output voltage
5.000 V
● Safe configuration
Unloaded output5.000 V
Divider current0.500 mA
Output impedance5.833 kΩ
Total power6.000 mW
Load current0.005 mA
Loading error0.58%
Divider ratio0.416667
Recommended rating0.125 W
Values are inside the selected operating limits.

Calculator Inputs

Select a mode. Enter known values. Results update automatically.

Enter zero to ignore loading.
Tolerance and operating limits
Preset examples and fast controls

Live Circuit Diagram

Voltage divider circuit An input source feeds R1. The output node connects to R2, load resistance, and an optional capacitor. 12 V source R1 14 kΩ Vout 5 V R2 10 kΩ RL 1 MΩ 0.1 µF 0.5 mA

Calculation Steps

    Resistor Pair Suggestions

    Pairs use the selected E-series and search limits.

    RankR1R2Actual outputErrorDivider currentOutput impedanceAction
    Choose pair finder mode, then start the search.

    Tolerance, Range, and Power Analysis

    Worst-case minimum
    Worst-case maximum
    Minimum current
    Maximum current
    Power in R1
    Power in R2
    Load power
    Annual energy
    Thévenin voltage
    Thévenin resistance
    Norton current
    Filter cutoff

    Charts and Visual Comparisons

    Output Versus Load Resistance

    Output Versus R1

    Frequency Response

    Calculation History and Comparison

    SavedModeInputR1R2OutputErrorPowerAction
    No saved calculations.

    Formula Used

    Vout = Vin × R2 ÷ (R1 + R2) Rloaded = R2 × RL ÷ (R2 + RL) Vout_loaded = Vin × Rloaded ÷ (R1 + Rsource + Rloaded) Idivider = Vin ÷ (R1 + Rsource + Rloaded) Rout = (R1 + Rsource) ∥ R2 P = I²R fc = 1 ÷ (2πRoutC)

    The load appears in parallel with the lower resistor. Source resistance joins the upper path.

    How to Use This Calculator

    1. Select the calculator mode matching your design task.
    2. Enter voltage and resistance values with correct units.
    3. Enable loading when another circuit connects to output.
    4. Open tolerance controls for worst-case design checks.
    5. Review power, current, impedance, and safety warnings.
    6. Use pair finder for nearby standard resistor values.
    7. Save useful calculations or export their result data.

    Example Data Table

    ApplicationVinR1R2Ideal outputPractical note
    Five-volt midpoint5 V10 kΩ10 kΩ2.5 VGood reference for high-impedance loads.
    Twelve-volt sensing12 V27 kΩ10 kΩ3.243 VSuitable near a 3.3 V ADC limit.
    Automotive battery sensing16.8 V47 kΩ10 kΩ2.947 VAdd filtering and input protection.
    Logic threshold5 V18 kΩ10 kΩ1.786 VVerify the receiving input threshold.
    Comparator reference12 V14 kΩ10 kΩ5 VConsider resistor tolerance and noise.
    Low-power monitor24 V390 kΩ100 kΩ4.898 VHigh impedance may require buffering.

    Designing a Reliable Voltage Divider

    A voltage divider creates a lower voltage from a higher source. Two resistors form a simple series path. The output is taken across the lower resistor. This approach works best with light, predictable loads. It does not regulate voltage like a power supply.

    Understanding Loading Effects

    A connected load changes the lower resistance. The load sits parallel with the lower resistor. Their combined value is always smaller. Therefore, the real output usually falls below the ideal output. Large load resistance produces less error. Small load resistance can cause serious error. A buffer amplifier can isolate sensitive divider networks.

    Selecting Divider Current

    Divider current affects power and output stiffness. Lower resistance increases current and reduces loading sensitivity. However, it wastes more energy and creates heat. Higher resistance saves power but raises output impedance. High impedance also increases noise sensitivity. ADC sampling circuits may need stronger drive. Choose a current well above expected load current. Ten times greater is a common starting point.

    Checking Resistor Tolerance

    Real resistors never equal their printed values exactly. Their tolerances shift the divider ratio. Worst-case analysis uses the largest upper resistance and smallest lower resistance for minimum output. The opposite combination produces maximum output. Input supply tolerance adds another variation source. Critical thresholds need adequate safety margin.

    Protecting ADC Inputs

    Microcontroller inputs have absolute voltage limits. Design below those limits during every condition. Include the highest source voltage and resistor tolerances. Add clamping or protection when transients are possible. The divider output resistance also affects sampling accuracy. A small capacitor can improve charge delivery. It also filters noise and creates settling delay.

    Choosing Standard Values

    Calculated resistor values may not exist commercially. Preferred E-series values provide practical choices. E24 parts suit many general designs. E96 parts offer finer ratio control. Pair searches should compare voltage error, current, and impedance. The lowest numerical error is not always best. Power use and source loading also matter.

    Power and Heat Considerations

    Each resistor converts electrical energy into heat. Calculate power using current squared times resistance. Select a rating above the calculated value. A two-times margin improves reliability. High-voltage circuits may also exceed resistor voltage ratings. Several series resistors can share voltage stress safely.

    Common Design Mistakes

    Do not use a divider for motors or heavy loads. Their changing current destroys output accuracy. Never ignore source resistance or meter loading. Avoid placing excessive voltage on ADC pins. Confirm grounding between connected circuits. Check tolerance across temperature when precision matters.

    Measurement and Verification

    Measure the assembled divider before connecting sensitive equipment. Confirm supply polarity and shared ground connections first. Use a meter with sufficiently high input resistance. Compare measured voltage with both loaded and unloaded predictions. Test minimum and maximum supply conditions when possible. Record resistor values, temperatures, and connected loads. Unexpected differences may reveal wiring faults, damaged parts, leakage, or hidden protection circuits. Careful verification prevents costly downstream failures.

    Frequently Asked Questions

    What is a voltage divider?
    It is a resistor network producing a fraction of an input voltage.
    Which resistor is R1?
    R1 connects between the input source and output node.
    Which resistor is R2?
    R2 connects between the output node and circuit ground.
    Can a divider increase voltage?
    No. A passive resistive divider only reduces applied voltage.
    Why is measured output lower?
    Meter or circuit loading reduces the effective lower resistance.
    Can it power another circuit?
    Only very light, stable loads are appropriate without buffering.
    How much current is consumed?
    Unloaded current equals input voltage divided by total resistance.
    How are standard values selected?
    The pair finder searches preferred E-series resistor values.
    How do tolerances affect output?
    They shift the ratio and create minimum and maximum outputs.
    Can it feed an ADC?
    Yes, when voltage, impedance, filtering, and protection are checked.
    What power rating is needed?
    Choose a rating above dissipation with a safety multiplier.
    What is output impedance?
    It is the parallel resistance seen from the output node.
    How can power use decrease?
    Increase both resistor values while preserving their resistance ratio.
    Why add a capacitor?
    It filters noise and supplies brief ADC sampling current.
    When is buffering useful?
    Buffering helps when the load varies or needs significant current.

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    Important Note: All the Calculators listed in this site are for educational purpose only and we do not guarentee the accuracy of results. Please do consult with other sources as well.