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Voltage Divider Calculator
Calculate output voltage, current, and power for a resistive voltage divider (loaded or unloaded).
Voltage Dividers reduce a voltage level using a pair of series resistors.
Formulas:
- Unloaded Output:
Vout = Vin * (R2 / (R1 + R2)) - Loaded Output:
Vout = Vin * (R2_eff / (R1 + R2_eff))whereR2_eff = R2 || Rload - Thevenin Resistance:
Rth = (R1 * R2) / (R1 + R2)
Usage: Input Vin, R1, and R2. Optionally enter Rload to evaluate the loading effect, which drops the output voltage.
When you need it: Scaling a voltage into an ADC range (reading a 12 V battery with a 3.3 V ADC), setting a reference or bias point, or level-shifting a sense line. The subtlety is loading: whatever you connect to the output forms a parallel path with R2 and pulls the voltage down.
Worked example: 12 V input, R1 = 10 kΩ, R2 = 3.3 kΩ → Vout = 12 × 3.3 / (10 + 3.3) ≈ 2.98 V, safely inside a 3.3 V ADC range. The output (Thevenin) resistance is 10k ∥ 3.3k ≈ 2.48 kΩ.
Tips & gotchas:
- Keep the divider's Thevenin resistance well below the load (ADC) input impedance, or the reading sags. For SAR ADCs, aim for a source impedance under ~10 kΩ (often much lower).
- Lower resistor values give a stiffer output but draw more standby current,
I = Vin / (R1 + R2); higher values save power but load easily. - Add a small capacitor across R2 to filter noise into an ADC — it forms an RC low-pass with the divider's output resistance.
- A divider is not a regulator: the output tracks the input and cannot supply real current to a load.