Voltage divider calculator

Output voltage and current of a two-resistor divider.

V
Ω
Ω
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Formula

Vout = Vin × R2 ÷ (R1 + R2) I = Vin ÷ (R1 + R2)

How it works

Two resistors in series share the input voltage in proportion to their resistance; the output is taken across R2. Connecting a load to the output changes the result.

Worked example

The same calculation with the default values:

  • Input voltage 12 V
  • Resistor R1 (top) 10,000 Ω
  • Resistor R2 (bottom) 4,700 Ω
  1. Vout = 12 × 4,700 ÷ (10,000 + 4,700) = 3.836735 V
  2. I = 12 ÷ (10,000 + 4,700) = 0.000816 A
  3. P = 12 × 0.000816 = 0.009796 W

Result: Output voltage: 3.83673469 V · Current (milliamperes): 0.81632653 mA · Total power: 0.00979592 W

Valid for an unloaded divider.

Common mistakes

  • Forgetting that this ideal formula assumes no current is drawn from the output (an unloaded divider) - connecting a real load in parallel with R2 changes the effective resistance and lowers Vout below the calculated value.
  • Mixing up R1 and R2 - swapping them flips which fraction of the input voltage appears at the output.
  • Using a voltage divider as a power supply for a circuit needing significant current - dividers are efficient for signal-level sensing but waste substantial power and sag badly under real current draw, unlike a regulated supply.

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