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

Current, Voltage, and Resistance

Middle & High School Depth 61 in the knowledge graph ☐ I know this ☆ Set as goal
4,304topics build on this
273prerequisites beneath it
See this on the map →
Electric Charge: Positive and NegativeRatios+1 more→→Digital vs. Analog SignalsElectric Current and Resistance+1 more
current voltage resistance

Core Idea

Current is the flow of electric charge through a circuit, measured in amperes (A). Voltage is the electrical "pressure" that pushes charge through the circuit, measured in volts (V). Resistance is how much a material opposes the flow of charge, measured in ohms (Ω). These three quantities are the foundation of all circuit analysis — voltage drives current, and resistance limits it.

How It's Best Learned

Use a water analogy: voltage is like water pressure, current is like the flow rate, and resistance is like a narrow pipe. Build a simple circuit with a battery, bulb, and wires, then swap in batteries of different voltages and bulbs of different resistances to see how brightness changes.

Common Misconceptions

Explainer

Understanding electricity starts with three key concepts: current, voltage, and resistance. A helpful way to grasp all three is a water analogy. Imagine water flowing through a system of pipes. The water flow rate is like current, the water pressure is like voltage, and any narrow sections or blockages in the pipes are like resistance.

Current (I) is the flow of electric charge, specifically the rate at which charge passes a point in the circuit. It is measured in amperes (amps, A). One amp means one coulomb of charge passes by every second. In metal wires, it is electrons that flow. An important fact that surprises many students: current is not "used up" by devices in the circuit. The same current that enters a light bulb exits it. What the bulb uses is electrical energy, not the flowing charges themselves.

Voltage (V) is the electrical potential difference between two points — it is the energy available per unit of charge. Think of it as the "push" that drives electrons through the circuit. A 9V battery provides more push per charge than a 1.5V battery, just like a high-pressure water pump pushes water harder than a low-pressure one. Without voltage, there is no reason for charges to flow, just like water in a horizontal pipe with no pressure difference sits still.

Resistance (R) is the opposition a material offers to the flow of current, measured in ohms (Ω). A thin wire has more resistance than a thick one (less room for electrons). A long wire has more resistance than a short one (more material to push through). Materials like copper have very low resistance (good conductors), while materials like rubber have very high resistance (good insulators). The filament in an incandescent light bulb is made of high-resistance wire so that the electrical energy converts to heat and light.

These three quantities are deeply interconnected. More voltage pushes more current through the same resistance. More resistance reduces the current for the same voltage. This relationship is captured precisely by Ohm's Law (V = IR), which you will explore in the next topic. For now, the essential insight is that circuits are systems where voltage provides the driving force, current is the resulting flow, and resistance determines how much flow occurs for a given push.

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 → Making 10 as an Addition Strategy → 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 Through 10 → 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

Longest path: 62 steps · 273 total prerequisite topics

Prerequisites (3)

Leads To (3)