Electrical Fundamentals
Lesson 6 of 8beginner
15 min read

Series Circuits

Components connected end-to-end

Theory

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What is a Series Circuit?

In a series circuit, components are connected end-to-end, forming a single path for current to flow. The same current flows through every component in the series chain.

Key Concept
Key rule: In a series circuit, current is the SAME through all components, but voltage DIVIDES across them.

Series Circuit Rules

  • Current is the same everywhere: I_total = I₁ = I₂ = I₃
  • Voltages add up: V_total = V₁ + V₂ + V₃
  • Resistances add up: R_total = R₁ + R₂ + R₃
  • If one component fails open, the entire circuit stops working (like old Christmas lights)

Voltage Drops in Series

Each resistor in a series circuit drops a portion of the total voltage, proportional to its resistance. The voltage drop across each resistor is found using Ohm's Law: V = I × R. The sum of all voltage drops equals the source voltage.

Info
Kirchhoff's Voltage Law (KVL) states: The sum of all voltages around any closed loop equals zero. This means V_source = V_R1 + V_R2 + V_R3 + ...

Real-World Series Circuits

Series circuits are found everywhere in electronics. Old-style Christmas lights were wired in series — if one bulb burned out, the entire string went dark. Battery cells inside a flashlight are stacked in series to increase voltage. Fuses and switches are always placed in series with the circuit they protect, because opening the series path stops all current.

Tip
When you stack batteries in series, the voltages add up: two 1.5V AA batteries in series give 3V, three give 4.5V. The current capacity stays the same as a single cell.

Troubleshooting Series Circuits

Because there's only one current path, a break anywhere stops the entire circuit. To find a faulty component, measure the voltage across each one — the broken (open) component will have the full source voltage across it, while the rest show 0V.

Formulas

Interactive Diagram

Interactive Circuit Diagram

9.0V100ΩI = 90.0mAP = 810.0mW

Calculator

V=I×RV = I \times R

Enter any 2 values to calculate the rest

Circuit Challenges

Challenge 1 of 2
Series Resistance

A 12V battery is connected to two resistors in series: 220Ω and 330Ω. Find the total resistance and circuit current.

Rtotal=R1+R2R_{total} = R_1 + R_2
+12V220Ω + 330ΩR₁+R₂A
12V
220Ω
330Ω
? Ω
? A

Calculate & fill in:

Ω
A

Knowledge Check

Question 1 of 5

In a series circuit, what remains constant through all components?