ElectroCalc

Series Resistor Calculator

Calculate total resistance for up to 5 series resistors with voltage drop across each.

Component Values

V

Results

Total Resistance (Rtotal)47.00 kΩ
R1R2R3+out

Rtotal = R1 + R2 + ... + Rn

Series Resistors Explained

In a series circuit, current flows through each resistor in sequence. The total resistance is simply the sum: Rtotal = R1 + R2 + ... + Rn. The same current flows through all resistors, and each one drops a share of the supply voltage proportional to its resistance.

The voltage divider is the most important application of series resistors. Vout = Vin × R2/(R1+R2) lets you create any fraction of the input voltage. Series resistors also appear as current limiters (for LEDs and inputs), protective series resistors for op-amp inputs, and impedance-matching elements.

Power must be considered when sizing resistors. Each resistor dissipates P = I² × R watts. Make sure the total power across all resistors in a chain is within the power ratings. Higher-wattage resistors (¼W, ½W, 1W) are required for higher currents.

Series Resistance

Rtotal = R1 + R2 + ... + Rn

Voltage Drop

Vn = Vin × Rn / Rtotal

Key Points

  • Rtotal = R1 + R2 + ... + Rn — always larger than any single resistor
  • Same current flows through all: I = Vin / Rtotal
  • Voltage divides proportionally: Vn = Vin × Rn / Rtotal
  • Power: P = I² × R — check each resistor rating

Applications

  • Current limiting for LEDs and sensor inputs
  • Voltage divider for ADC input scaling
  • RC filter component design
  • Pull-up and pull-down resistor networks