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Engineering & Physics CalcyZone Calculator

Series Resistor Calculator

Add resistors in series and see the current and voltage drop across each one.

Total resistance
790 Ω
Current at supply voltage
0.0152 A

Step-by-step working

  1. R = 100 + 220 + 470 = 790 Ω
  2. I = V / R = 12 / 790 = 0.0152 A
Voltage across each resistor
Resistor (Ω)Voltage (V)
1001.519
2203.3418
4707.1392

Mathematical Formula

R = Σ Rᵢ; I = V/R; Vᵢ = I Rᵢ.

Overview & Explanation

Series resistors carry the same current; resistances add.

How It Works

  • Sum resistances.
  • I = V/R.
  • Each drop = I × Rᵢ.

Practical Applications

  • LED current limiting.
  • Voltage ladders.

Example 1: 100 + 220 + 470 Ω at 12 V

Three resistors.

1

Inputs

Resistances (Ω, comma separated): 100, 220, 470 · Supply voltage (V): 12

= entered
2

Step 1

R = 100 + 220 + 470 = 790 Ω

3

Step 2

I = V / R = 12 / 790 = 0.0152 A

4

Total resistance

Result

= 790 Ω

Example 2: 1k + 2k at 5 V

Two resistors.

1

Inputs

Resistances (Ω, comma separated): 1000, 2000 · Supply voltage (V): 5

= entered
2

Step 1

R = 1000 + 2000 = 3000 Ω

3

Step 2

I = V / R = 5 / 3000 = 0.0017 A

4

Total resistance

Result

= 3000 Ω

How it's calculated & sources

R = Σ Rᵢ; I = V/R; Vᵢ = I Rᵢ.

Frequently Asked Questions

Do drops sum to supply?
Yes (Kirchhoff’s voltage law).
Power per resistor?
P = I²R.
Tolerance?
Real values vary by the tolerance band.