Electricity & Magnetism

Resistors in Series

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

Total resistance of resistors in series.

Variables

R_eq
Equivalent resistance
Total resistance
Ω
R₁
Resistance 1
First resistor
Ω
R₂
Resistance 2
Second resistor
Ω

Derivation

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

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Common questions

What is the Resistors in Series formula?

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

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

In SI units, R_eq 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 Rₑq = R₁ + R₂ + R₃ + ....