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Voltage divider

Two resistors in series share the input voltage in proportion to their resistances. The output across R₂ is the input times R₂ over the total.

In Swedish: Spänningsdelare

Voltage divider

The relation

Uout=UinR₂R₁+R₂

Two resistors in series share the input voltage in proportion to their resistances. The output across R₂ is the input times R₂ over the total. This holds while nothing loads the output.

Solve for

Uout=4V

U out equals (12 times 1,000) divided by (2,000 plus 1,000), equals 12,000 divided by 3,000, equals 4 V

Working3 steps

Practice questions

You are given

  • Uout=2.5V
  • Uin=5V
  • R₂=1000Ω

Round to 2 decimals.

The formula

The same current flows through both resistors, so each takes a share of the input voltage in proportion to its resistance. The output is taken across R₂, the one connected to ground. It follows from Ohm’s law and the rule for resistors in series.

Holds when nothing draws current from the output. A load across R₂ is a resistor in parallel with it, which lowers the effective R₂ and the output with it.

A worked example

12 V across 2,000 Ω and 1,000 Ω: Uout = 12 · 1,000 / 3,000 = 4 V. The current through the pair is 12 / 3,000 = 4 mA, and the divider dissipates 48 mW.

The load

Connect a 1,000 Ω load across the output. R₂ and the load in parallel make 500 Ω, and the output falls to 12 · 500 / 2,500 = 2.4 V. The rule of thumb is to make the divider’s current at least ten times the load’s, which means small resistors, which means more power wasted in the divider. A divider feeds a measurement input or a reference, not a motor.

Choosing the resistors

The ratio sets the output; the size sets the current. 20 kΩ and 10 kΩ give the same 4 V as the example at a tenth of the current and the power, and suit an input that draws almost nothing. The card above solves for either resistor from the other three.

Common mistakes

Frequently asked questions

What is a potentiometer? A divider whose tap slides along one resistor, so R₁ and R₂ change together with a constant sum.

Can I divide an AC voltage? With resistors, yes, in the same ratio. With capacitors or inductors the division depends on frequency.

Which values do I actually buy? The nearest preferred values in the E12 or E24 series; the resistor colour code calculator names them and their bands.

Looking for another letter? The formula solved for each one
Solved for each letter
Solve forRearrangedWith the numbersComes to
UinUout(R₁+R₂)R₂4(2,000+1,000)1,00012 V
R₁R₂(Uin−Uout)Uout1,000(12−4)42,000 Ω
R₂UoutR₁Uin−Uout4·2,00012−41,000 Ω
UoutUinR₂R₁+R₂12·1,0002,000+1,0004 V

Last reviewed October 20, 2026 ·How pages are reviewed

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