Voltage divider calculator

A divider is only accurate while the load draws far less current than the divider itself. This shows exactly how much it sags.

V
ohm
ohm
ohm
Output voltage, unloaded
6.000 00V
= Exact Voltage divider
Output voltage with the load
5.714 29 V
Sag caused by the load
4.7619 %
Quiescent current through the divider
0.0006 A
Power wasted in the divider
0.0072
Show the working
  1. Input voltage = 12
  2. Top resistor R1 = 10 000
  3. Bottom resistor R2 = 10 000
  4. Load resistance = 100 000
  5. Output voltage, unloaded = 12 * 10 000 / (10 000 + 10 000) = 6
  6. Quiescent current through the divider = 12 / (10 000 + 10 000) = 0.0006
  7. r2_loaded = 10 000 * 100 000 / (10 000 + 100 000) = 9090.91
  8. Output voltage with the load = 12 * 9090.91 / (10 000 + 9090.91) = 5.714 29
  9. Sag caused by the load = 6 > 0 ? (6 - 5.714 29)/6*100 : 0 = 4.7619
  10. Power wasted in the divider = 12^2 / (10 000 + 10 000) = 0.0072

Values are shown to six significant figures here; the arithmetic itself runs on exact fractions and is only rounded where a number is printed.

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    The formula

    • Vout = Vin R2 / (R1 + R2)
    • with a load, R2 becomes R2 in parallel with the load

    A useful rule: keep the divider current at least ten times the load current if you want the unloaded formula to hold.

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