A topic in the Open Knowledge Graph — a free, open map of 15,290 topics and the order to learn them in.

Parallel Circuits

Middle & High School Depth 64 in the knowledge graph ☐ I know this ☆ Set as goal
4,177topics build on this
314prerequisites beneath it
See this on the map →
Ohm's Law: V = IRSeries Circuits→→Circuit Design BasicsDC Circuits: Series and Parallel+1 more
parallel circuit branches

Core Idea

In a parallel circuit, components are connected across the same two points, giving current multiple paths to follow. Each branch receives the full battery voltage. The total current from the battery splits among the branches, with more current flowing through lower-resistance paths. The total resistance is less than the smallest individual resistance: 1/R_total = 1/R₁ + 1/R₂ + .... If one branch breaks, the others continue working.

How It's Best Learned

Connect two light bulbs in parallel with a battery and observe that each shines at full brightness. Remove one bulb and see that the other stays lit. Measure the current in each branch and verify that the branch currents add up to the total current from the battery.

Common Misconceptions

Explainer

While a series circuit has one path for current, a parallel circuit offers multiple paths. Picture a river that splits into several channels around an island — water flows through all channels simultaneously, and the total flow is the sum of each channel's flow. Similarly, in a parallel circuit, current from the battery splits among the branches and recombines on the other side.

The defining feature of parallel circuits is that every branch receives the full voltage of the battery. This is because each branch connects directly between the same two points (the positive and negative terminals of the battery). It does not matter how many branches there are — each one sees the complete voltage. This is why appliances in your house all operate at the same voltage (120V in the US) despite being on different circuits — they are all connected in parallel across the power supply.

Current divides among the branches based on their resistance. A branch with low resistance draws more current, while a branch with high resistance draws less. The total current from the battery equals the sum of all branch currents. If one branch draws 2 A and another draws 3 A, the battery supplies 5 A total.

The formula for total resistance in parallel is 1/R_total = 1/R₁ + 1/R₂ + .... This produces a total resistance that is always less than the smallest individual resistance. Adding more branches always decreases total resistance because you are providing more paths for current — like opening more checkout lanes at a store to reduce the overall wait. Two 100 Ω resistors in parallel give 50 Ω. Add a third, and it drops to about 33 Ω.

The biggest practical advantage of parallel circuits is independence: if one branch fails, the others continue to work normally. This is why your house is wired in parallel — when a light bulb burns out in the kitchen, your living room TV does not go dark. Each branch is an independent path. This reliability, combined with the fact that every device gets the full voltage it needs, makes parallel the standard wiring configuration for nearly all real-world electrical systems.

Practice Questions 3 questions

Prerequisite Chain

Understanding Zero → The Number Zero → Counting to Five → Counting to 10 → Counting to 20 → Counting a Set of Objects Up to 20 → Cardinality: The Last Number Counted → Matching Numerals to Quantities → Subitizing Small Quantities → Addition Within 10 → Number Bonds to 10 → Addition Within 20 → Doubles and Near Doubles → Doubles Facts Within 10 → Near Doubles Facts Within 20 → Mental Math Strategies for Addition → Mental Math: Adding and Subtracting Tens → Addition Within 100 → Repeated Addition as Multiplication → Multiplication as Equal Groups → Multiplication: Arrays → Basic Multiplication Facts (0s, 1s, 2s, 5s, 10s) → Multiplication Facts Within 100 → Division as Equal Sharing → Division as Grouping (Measurement Division) → Division: Grouping (Repeated Subtraction) Model → Division: Fair Sharing Model → Division as Equal Sharing → Division as Grouping → Basic Division Facts → Division Facts Within 100 → Multiplication and Division Fact Families → Relationship Between Multiplication and Division → Division Facts as Inverse of Multiplication → Remainders and Quotients in Division → Division Word Problems → Multi-Step Word Problems → Solving Multi-Step Word Problems → Multiplication Word Problems → Division Word Problems → Introduction to Long Division → Factors and Multiples → Prime and Composite Numbers → Equivalent Fractions → Relating Fractions and Decimals → Decimal Place Value → Integers and the Number Line → Comparing and Ordering Integers → Length Comparison → Measuring Length with Non-Standard Units → Measuring Length in Standard Units → Measuring Length in Standard Units → Measuring Length in Multiple Units → Measuring Weight → Measuring Weight of Objects → Mass: Grams and Kilograms → Measurement Conversions (Metric) → What Is Speed? → What Is Energy? → Forms of Energy: Heat, Light, and Sound → Simple Circuits → Current, Voltage, and Resistance → Ohm's Law: V = IR → Series Circuits → Parallel Circuits

Longest path: 65 steps · 314 total prerequisite topics

Prerequisites (2)

Leads To (3)