ElectroHub

Reverse Voltage Divider Calculator

The divider formula run backwards. Rather than telling you what two resistors do, this finds pairs that hit your target — restricted to values you can actually buy, because an ideal ratio you cannot source is useless.

Reverse Divider — pick R1 and R2 for a target Vout

The divider problem backwards: you know the voltage you need, this finds the standard resistor pairs that get you there. Only E12/E24 preferred values are searched, because those are the ones actually sold in a component kit.

Required ratio R1 : R2
Best pair — R1 (top, to Vin)
Best pair — R2 (bottom, to GND)
Actual output
Error
Divider current
R1R2VoutError
180 kΩ130 kΩ5.0323 V+0.65 %
51 kΩ36 kΩ4.9655 V-0.69 %
47 kΩ33 kΩ4.95 V-1 %
33 kΩ24 kΩ5.0526 V+1.05 %
130 kΩ91 kΩ4.9412 V-1.18 %
43 kΩ30 kΩ4.9315 V-1.37 %
  1. 1.Given: Vin = 12 V, wanted Vout = 5 V
  2. 2.FormulaVout = Vin · R2/(R1+R2) → R1/R2 = (Vin − Vout)/VoutSubstituteR1/R2 = (12 − 5) ÷ 5ResultR1/R2 = 1.4
  3. 3.Closest E24 pair: R1 = 180 kΩ, R2 = 130 kΩ (ratio 1.3846)
  4. 4.FormulaCheck with the real valuesSubstituteVout = 12 × 130 kΩ ÷ (180 kΩ + 130 kΩ)ResultVout = 5.0323 V (+0.65 %)
Common trap: A divider is not a power supply. These values assume nothing is drawing current from the tap — connect a load and the output sags, because the load sits in parallel with R2. Keep the divider current at least ten times the load current, or use a regulator instead.

The formula

R₂ / (R₁ + R₂) = V_out / V_in

V_in
available supply voltage (volts)
V_out
voltage you want at the junction (volts)
R₁, R₂
the pair to find, chosen from the E12 or E24 series

Worked example

Get 3.3 V from a 5 V rail using E12 parts.

  1. Required ratio: 3.3 / 5 = 0.66
  2. Try R₁ = 10 kΩ, R₂ = 18 kΩ → 18 / 28 = 0.643
  3. V_out = 5 × 0.643 = 3.21 V, an error of −2.7 %

10 kΩ / 18 kΩ gives 3.21 V — close enough for a sense line, not for a reference.

Where you'll use it

Level-shifting a 5 V signal into a 3.3 V input, or setting a feedback ratio. For anything needing accuracy, note that E12 resistors are ±10 % parts, so the tolerance dominates the ratio error you see here.

The laws behind it

Parts this applies to

Related calculators