Series Circuits

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series circuit resistance

Core Idea

In a series circuit, all components are connected in a single loop so that current has only one path to follow. The same current flows through every component. The total resistance equals the sum of all individual resistances (R_total = R₁ + R₂ + R₃ + ...). The voltage from the battery is divided among the components, with larger resistors getting a larger share of the voltage.

How It's Best Learned

Connect two light bulbs in series with a battery and observe that they are dimmer than a single bulb. Remove one bulb and watch both go out (the circuit breaks). Use a multimeter to verify that current is the same everywhere and that the voltages across individual components add up to the battery voltage.

Common Misconceptions

Explainer

A series circuit is the simplest way to connect components: everything is wired in a single loop, one after the other. Imagine a racetrack with only one lane — every car must follow the same path, pass through every checkpoint, and no one can skip ahead. Similarly, in a series circuit, charge must flow through every component in order. There are no shortcuts or alternative routes.

This single-path structure leads to the defining rule: current is the same through every component. If 2 amps flows out of the battery, then 2 amps flows through the first resistor, the second resistor, the light bulb, and back to the battery. Nothing is lost along the way. Charge is conserved — what goes in must come out.

Resistance adds up in a simple way in series: R_total = R₁ + R₂ + R₃ + .... Three 10 Ω resistors in series create a total resistance of 30 Ω. This makes intuitive sense — each resistor is another obstacle the current must push through, so the total resistance increases. Adding more components in series always increases resistance and therefore always decreases current (for a given voltage).

Voltage in a series circuit behaves differently from current. The total voltage provided by the battery is divided among the components, with each one getting a share proportional to its resistance. This is called a voltage divider effect. If you have a 2 Ω and an 8 Ω resistor in series with a 10 V battery, the 2 Ω resistor gets 20% of the voltage (2 V) and the 8 Ω resistor gets 80% (8 V). The shares add up to the full battery voltage.

Series circuits have an important practical consequence: if any single component breaks or is removed, the entire circuit stops working. The single path is broken, current cannot flow, and everything shuts off. This is why old-style Christmas lights would all go dark when one bulb burned out — they were wired in series. Modern designs use parallel wiring to avoid this problem, which is the subject of the next topic.

Practice Questions 3 questions

Prerequisite Chain

Counting to 10Counting to 20Understanding ZeroThe Number ZeroCounting to FiveOne-to-One CorrespondenceCombining Small Groups Within 5Addition Within 10Addition Within 20Two-Digit Addition Without RegroupingTwo-Digit Addition with RegroupingAddition Within 100Repeated Addition as MultiplicationMultiplication Facts Within 100Division as Equal SharingDivision as Grouping (Measurement Division)Division: Grouping (Repeated Subtraction) ModelDivision: Fair Sharing ModelDivision as Equal SharingDivision as GroupingBasic Division FactsDivision Facts Within 100Two-Digit by One-Digit DivisionDivision with RemaindersRemainders and Quotients in DivisionDivision Word ProblemsIntroduction to Long DivisionFactors and MultiplesPrime and Composite NumbersEquivalent FractionsRelating Fractions and DecimalsDecimal Place ValueIntegers and the Number LineComparing and Ordering IntegersLength ComparisonMeasuring Length with Non-Standard UnitsMeasuring Length in Standard UnitsMeasuring Length in Standard UnitsMeasuring Length in Multiple UnitsMeasuring WeightMeasuring Weight of ObjectsMass: Grams and KilogramsMeasurement Conversions (Metric)What Is Speed?What Is Energy?Forms of Energy: Heat, Light, and SoundSimple CircuitsCurrent, Voltage, and ResistanceOhm's Law: V = IRSeries Circuits

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