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Electrical Engineering

Resistors in Series

Series resistors share a single current path, so their voltage drops add.

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Source & review

Difficulty

Beginner

Read time

5 min

Prerequisites

Basic algebra and consistent SI units

Review statusNeeds review

Source

OpenStax, College Physics 2e, §21.1 (Paul Peter Urone and Roger Hinrichs)

Textbook reference retained from the OpenFormulaGraph dataset; adaptation credits and license are provided below.

Adapted from OpenFormulaGraph, under CC BY 4.0.

FormuLab adapted the notation, explanations, assumptions, and topic placement, and expanded the numerical check into a worked example.

Definition
Understanding the core concept

Series resistors share a single current path, so their voltage drops add. Their equivalent resistance is the sum of their individual resistances. The same rule extends to more than two resistors.

Variables & Units
Understanding each component
SymbolMeaningUnits
Equivalent series resistance
First resistance
Second resistance
Real-World Applications
Where this formula is used in practice

Resistance networks

Replace a series pair by one equivalent resistor.

Voltage dividers

Find the total resistance of a divider chain.

Worked Example
Step-by-step calculation with real numbers

Problem

Ideal resistors of 3.00 Ω and 5.00 Ω are connected in series. Find their equivalent resistance.

Given

Solution

1
2
3

Final Answer

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