🎓 Engineering • Electrical Engineering
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Resistor Calculator (Series, Parallel & Color Codes)
Computes equivalent resistance for series and parallel resistor networks with reciprocal fraction steps.
Resistor Color Codes & Series / Parallel Networks
Decode 4-band and 5-band axial resistor stripes or compute equivalent network resistances
2.7 kΩ(±5%)
Acceptable Range: 2.565 kΩ – 2.835 kΩ
Resistor Network Combinations
Resistors connected in series share the same current and their resistances add up. Resistors connected in parallel share the same voltage and their reciprocal conductances add up.
Formula & Step-by-Step Calculation
R_series = Σ R_i, 1 / R_parallel = Σ (1 / R_i)
Equivalent resistance equations for linear networks.
Worked Step-by-Step Examples
Example 1
Combine 100Ω, 220Ω, and 470Ω in series and parallel
Solution: Series: 790.00 Ω, Parallel: 59.95 Ω
• Series = 100 + 220 + 470 = 790 Ω; 1/R = 1/100 + 1/220 + 1/470 ⟹ R ≈ 59.95 Ω
Common Real-World & Academic Use Cases
- ✓ Precision voltage divider ladder design
- ✓ Impedance matching in RF communication
- ✓ Current shunt resistor network calibration
How to Use the Resistor Calculator (Series, Parallel & Color Codes)
1
Enter Resistor Values
Input R1, R2, and R3 in Ohms.
2
Inspect Equivalent R
Read series and parallel total resistances.
Frequently Asked Questions
Q: Why is parallel resistance always smaller than the smallest resistor?
Because each parallel branch adds a new conductive pathway for electric current to flow.