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Parallel and Series Resistor Calculator

Calculate total resistance for series or parallel resistor networks with our advanced calculator
Resistor Calculator
Power Calculator
Reference

Series and Parallel Resistor Calculator

Series Connection
Parallel Connection
100Ω, 220Ω, 470Ω
1kΩ, 2.2kΩ, 4.7kΩ
10kΩ, 22kΩ, 47kΩ
Enter resistor values to calculate total resistance

Note: The circuit diagram updates automatically as you add or remove resistors.

Resistor Power Calculator

Calculate Power Dissipation

Enter any two values to calculate power dissipation

Power Formulas

P = V × I (Power = Voltage × Current)

P = V² / R (Power = Voltage² ÷ Resistance)

P = I² × R (Power = Current² × Resistance)

Resistor Reference Guide

Resistance Formulas

Series Connection:

Rtotal = R1 + R2 + ... + Rn

Parallel Connection:

1/Rtotal = 1/R1 + 1/R2 + ... + 1/Rn

For two resistors in parallel: Rtotal = (R1 × R2) / (R1 + R2)

Common Resistor Values (E12 Series)

Value (Ω) Value (kΩ) Value (MΩ)
1.0 1.0 1.0
1.2 1.2 1.2
1.5 1.5 1.5
1.8 1.8 1.8
2.2 2.2 2.2
2.7 2.7 2.7
3.3 3.3 3.3
3.9 3.9 3.9
4.7 4.7 4.7
5.6 5.6 5.6
6.8 6.8 6.8
8.2 8.2 8.2

Resistor Characteristics

Characteristic Description
Resistance Opposition to current flow (measured in ohms)
Tolerance Allowable deviation from nominal value (e.g., ±1%, ±5%)
Power Rating Maximum power dissipation (e.g., 1/4W, 1/2W, 1W)
Temperature Coefficient Change in resistance with temperature (ppm/°C)

Resistor Connection Examples

Series Connection Example

Given: 5Ω, 10Ω, 20Ω in series

  • Rtotal = 5 + 10 + 20 = 35 Ω

Note: Series connection results in a total resistance greater than any individual resistor.

Parallel Connection Example

Given: 5Ω, 10Ω, 20Ω in parallel

  • 1/Rtotal = 1/5 + 1/10 + 1/20 = 0.2 + 0.1 + 0.05 = 0.35
  • Rtotal = 1 / 0.35 = 2.86 Ω

Note: Parallel connection results in a total resistance less than the smallest individual resistor.