Electricity & Magnetism

Resistors in Series

Req=R1+R2+R3+...R_{eq} = R_1 + R_2 + R_3 + ...

Total resistance of resistors in series.

Variables

Req
Equivalent resistance
Total resistance
In SI units: kg·m²/(A²·s³)
Allowed values: 0 or more
Ω
R₁
Resistance 1
First resistor
In SI units: kg·m²/(A²·s³)
Allowed values: 0 or more
Ω
R₂
Resistance 2
Second resistor
In SI units: kg·m²/(A²·s³)
Allowed values: 0 or more
Ω

Derivation

Same current: V = V₁ + V₂ = IR₁ + IR₂ = I(R₁ + R₂).

Your notes

0/5000

Check value

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  • R₁ = 2 Ω (Resistance 1)
  • R₂ = 3 Ω (Resistance 2)

Result: Req = 5 Ω

Where this formula is listed

Common questions

What is the Resistors in Series formula?

Resistors in Series is written R_eq = R₁ + R₂ + R₃ + ... Total resistance of resistors in series. It belongs to Electricity & Magnetism, under Electric Circuits.

What are the units in R_eq = R₁ + R₂ + R₃ + ...?

In SI units, R_e q is equivalent resistance, measured in kg·m²/(A²·s³); R₁ is resistance 1, measured in kg·m²/(A²·s³); R₂ is resistance 2, measured in kg·m²/(A²·s³).

How is the Resistors in Series formula derived?

Same current: V = V₁ + V₂ = IR₁ + IR₂ = I(R₁ + R₂). The result is R_eq = R₁ + R₂ + R₃ + ...