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Fundamental Electrical Quantities & Symbols

Voltage, Current, Resistance, and Power: The Four Pillars of Electricity

Now that you understand electricity is just organized electron flow, we need to talk about how to measure and describe it.

Foundation

Scientists and engineers have developed fundamental quantities to describe electrical behavior. These aren't just random numbers and symbols - they represent real, physical things happening in your circuits.

Let's learn each one.


⚡ Electric Charge (Q) - Measured in Coulombs

Electric charge is the total amount of electrical "stuff" - specifically, the amount of electrons.

The Bucket Analogy

Imagine you have a bucket, and you're filling it with water.

  • Amount of water in bucket = Electric charge
  • Unit: Coulombs (C)
  • One Coulomb = 6.24 × 10¹⁸ electrons (6.24 billion billion!)

Symbol: Q

Example: When we write Q = 5 Coulombs, we're saying "we have the equivalent charge of 5 Coulombs worth of electrons."

Electric Charge

PropertyDescription
SymbolQ
UnitCoulombs (C)
What it measuresTotal amount of electrons
AnalogyAmount of water in a bucket

🌊 Electric Current (I) - Measured in Amperes

Charge is how much electrical "stuff" you have. Current is how fast it's moving.

Current is the rate at which charge flows past a point in a circuit. It's the speed of electron flow.

The River Analogy

Think of it like a river:

  • Amount of water in river = Charge
  • Flow rate (how much water passes a point per second) = Current

Understanding Amperes

Unit: Amperes (Amps or A)

1 Ampere means: One Coulomb of charge flows past a point every second

1 Ampere = 1 Coulomb per second

Example: 2A flowing = 2 Coulombs of electrons passing a point every second

Electric Current

PropertyDescription
SymbolI
UnitAmperes (A)
What it measuresRate of charge flow
FormulaI = Q / t (charge per time)
Current Direction Convention

In circuit diagrams, we draw current flowing from positivenegative, even though electrons actually flow negativepositive. This is a historical convention we're stuck with!


⚡ Voltage (V) - Measured in Volts

Voltage is the electrical pressure or potential difference that pushes electrons to move.

This is often the most confusing quantity for beginners, so let's take our time.

The Water Tank Analogy

Best Analogy for Voltage

Think of a water system with two tanks at different heights:

High TankLow Tank
More potential energyLess potential energy
Height difference creates pressurePressure pushes water downward
Bigger height difference = stronger push-

In electricity:

  • High electrical potential = one point
  • Low electrical potential = another point
  • Voltage = this difference in potential
  • Creates electrical "pressure" that pushes electrons

Unit: Volts (V)

Examples:

  • 5V battery → 5 volts of potential difference between terminals
  • 12V battery → 12 volts potential difference
  • Bigger voltage = stronger push on electrons

Symbol: V (sometimes U or E)

PropertyDescription
SymbolV (or U, E)
UnitVolts (V)
What it measuresElectrical pressure/potential difference
AnalogyWater pressure from height difference

🚧 Resistance (R) - Measured in Ohms

Resistance is the opposition to electron flow.

Not all materials let electrons flow equally easily. Some make it very easy (conductors), others make it very difficult (insulators).

The Pipe Analogy

Water Pipe Comparison
Wide, Smooth PipeNarrow, Rough Pipe
Water flows easilyWater flow difficult
Low resistanceHigh resistance

Electrical resistance works the same way!

Unit: Ohms (Ω) - Greek letter Omega

ResistanceMeaning
Small resistanceElectrons flow easily
Large resistanceElectrons flow with difficulty

Symbol: R

Electric Resistance

PropertyDescription
SymbolR
UnitOhms (Ω)
What it measuresOpposition to electron flow
Material typesConductor (low Ω), Insulator (high Ω)

💡 Power (P) - Measured in Watts

Power is how much work electricity is doing per second - how much energy is being transferred or consumed.

The Waterfall Analogy
  • Single drop of water falling = not very powerful
  • Waterfall (millions of drops, continuously) = very powerful!

Electrical power works the same way.

Unit: Watts (W)

Common Examples:

  • 60W light bulb = consumes 60 Watts
  • 1000W microwave = consumes 1000 Watts (1 kilowatt)
  • 5W LED = consumes only 5 Watts

Symbol: P

Electric Power

PropertyDescription
SymbolP
UnitWatts (W)
What it measuresWork done per second
FormulaP = V × I (voltage × current)

🔄 How These Four Work Together

The Complete Picture

These four quantities don't exist independently. They work together to describe what's happening in a circuit:

QuantityRoleDescription
Voltage (V)The PushWhat tries to make electrons flow
Resistance (R)The OppositionWhat tries to stop electrons from flowing
Current (I)The ResultActual electron flow (push vs opposition)
Power (P)The EffectHow much work is being done

How Electricity Works

The Box-Pushing Analogy

Real-World Comparison

Imagine you're pushing a heavy box across the floor:

  • Force you apply = Voltage (the push)
  • Friction and resistance of floor = Resistance (opposition)
  • How fast box actually moves = Current (the result)
  • Work you're doing = Power (energy per second)

🔧 Circuit Symbols and Diagrams

Now that you understand these quantities, let's talk about how we represent them in diagrams.

Universal Language

Engineers use specific symbols to represent different components in circuits. These symbols are standardized worldwide - any engineer can look at a circuit diagram and understand it!

Basic Circuit Symbols

ComponentSymbol DescriptionWhat it represents
BatteryLong and short linesLong = positive (+), Short = negative (−)
ResistorZigzag line or rectangleOpposes current flow
CapacitorTwo parallel lines ||Stores electrical charge
SwitchLine with break and leverOpens/closes circuit
WireSimple lineConnects components
AmmeterCircle with 'A'Measures current
VoltmeterCircle with 'V'Measures voltage
Why Symbols Matter

Don't dismiss these symbols as just abstract drawings.

These symbols let us communicate complex electrical behavior using simple visual language.

When you see a circuit diagram, you're seeing a map of how electricity flows and what it encounters along the way. Understanding the symbols is like learning to read a map.


📊 Quick Reference Summary

QuantitySymbolUnitMeasuresAnalogy
ChargeQCoulombs (C)Amount of electronsWater in bucket
CurrentIAmperes (A)Flow rateWater flow rate
VoltageVVolts (V)Electrical pressureWater pressure
ResistanceROhms (Ω)Opposition to flowPipe friction
PowerPWatts (W)Work per secondWaterfall power

Remember

Voltage, current, resistance, and power are not separate things happening in different parts of your circuit.

They're different ways of describing the same phenomenon - the flow of electrons through a circuit.

Every single quantity is connected to the others through mathematical relationships (which we'll explore in the next lesson). For now, make sure you have a solid intuitive understanding of what each one means.