Series Resistor Calculator

Common Series Circuit Calculations

1. LED Current Limiting

Calculate LED series resistor values:

  • 12V LED resistor: R = (12V - Vf) / If
  • 5V LED resistor: R = (5V - Vf) / If
  • 3.3V LED resistor: R = (3.3V - Vf) / If

2. Voltage Division

Common voltage divider ratios:

  • 12V to 5V: R1 = 1.4kΩ, R2 = 1kΩ
  • 5V to 3.3V: R1 = 510Ω, R2 = 1kΩ
  • 9V to 5V: R1 = 820Ω, R2 = 1kΩ

3. Ohm's Law Applications

Common calculations using Ohm's law:

  • Find voltage: V = I × R (e.g., 0.02A × 100Ω = 2V)
  • Find current: I = V ÷ R (e.g., 12V ÷ 600Ω = 0.02A)
  • Find resistance: R = V ÷ I (e.g., 5V ÷ 0.02A = 250Ω)
  • Calculate power: P = V × I (e.g., 12V × 0.015A = 0.18W)

4. Series vs Parallel Comparison

PropertySeries CircuitParallel Circuit
Total ResistanceSum of all resistancesLess than smallest resistance
CurrentSame through all resistorsDivides between paths

Quick Reference

Basic Formulas

  • V = I × R (Voltage)
  • I = V ÷ R (Current)
  • R = V ÷ I (Resistance)
  • P = V × I (Power)

Series Circuit Rules

  • Rtotal = R1 + R2 + R3 + ...
  • Itotal = I1 = I2 = I3 = ...
  • Vtotal = V1 + V2 + V3 + ...

Power Formulas

  • P = V × I
  • P = I² × R
  • P = V² ÷ R

Common Values

  • LED current: 20mA typical
  • Logic level: 3.3V/5V
  • Power supply: 12V/24V

Conversion Factors

  • 1mA = 0.001A
  • 1kΩ = 1000Ω
  • 1MΩ = 1000kΩ

Safety Margins

  • Power: 2x typical
  • Voltage: 1.5x peak
  • Current: 1.25x max