What is a Voltage Divider?
A voltage divider uses two resistors to produce a lower voltage from a higher input voltage.
Vout = Vin × R2 ÷ (R1 + R2)
Voltage Divider Circuit
The basic circuit has R1 connected between the input voltage and output, while R2 connects the output to ground.
Vin → R1 → Vout → R2 → GND
Formulas
Output Voltage
Vout = Vin × R2 ÷ (R1 + R2)
Input Voltage
Vin = Vout × (R1 + R2) ÷ R2
R1
R1 = R2 × (Vin ÷ Vout - 1)
R2
R2 = R1 × Vout ÷ (Vin - Vout)
Example
Suppose you have:
- Vin = 12 V
- R1 = 10 kΩ
- R2 = 10 kΩ
Vout = 12 × 10000 ÷ (10000 + 10000)
Vout = 6 V
Common Applications
- ADC voltage measurement
- Microcontroller circuits
- Sensor circuits
- Analog circuits
- Reference voltage circuits