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Courses/Electrical Fundamentals/Voltage, Current & Resistance

lesson · 8min · Lesson 6 of 37

Potential difference: the driving force

Course syllabusCourse overview
01Atoms, Electrons & Electric Charge
  1. ReadWhat is electricity?: atomic model
  2. ReadElectric charge and the coulomb
  3. ReadConductors, insulators, and semiconductors
  4. ReadConventional current vs electron flow
  5. quizModule quiz
02Voltage, Current & Resistance
  1. ReadPotential difference: the driving force
  2. ReadCurrent: the rate of charge flow
  3. ReadResistance and resistivity
  4. ReadOhm's Law: derivation and examples
  5. exerciseWorked examples: Ohm's Law problems
03Series & Parallel Circuits
  1. ReadSeries circuits: characteristics and rules
  2. ReadParallel circuits: characteristics and rules
  3. ReadCombined series-parallel networks
  4. ReadVoltage dividers and current dividers
  5. exerciseCircuit analysis practice
04Kirchhoff's Laws
  1. ReadKCL: Kirchhoff's Current Law
  2. ReadKVL: Kirchhoff's Voltage Law
  3. ReadMesh and nodal analysis
  4. exerciseKirchhoff's law problems set
05Power & Energy
  1. ReadElectrical power: watts and horsepower
  2. ReadEnergy: kilowatt-hours and joules
  3. ReadEfficiency and power loss in cables
  4. quizPower quiz
06Alternating Current Fundamentals
  1. ReadAC vs DC: why AC won
  2. ReadSinusoidal waveforms: peak, RMS, average
  3. ReadFrequency and period
  4. ReadPhase relationships
  5. ReadAC circuit analysis introduction
07Capacitors & Inductors
  1. ReadCapacitor construction and capacitance
  2. ReadCapacitors in AC circuits: reactance
  3. ReadInductor construction and inductance
  4. ReadInductors in AC circuits: reactance
  5. ReadRC and RL circuits: time constants
08Measurement & Instruments
  1. ReadMultimeters: AC/DC voltage and current
  2. ReadClamp meters and measuring live current
  3. ReadOscilloscopes: reading waveforms
  4. quizFinal assessment
Lesson · 8min
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In this lesson

PurposeCore theoryWorked exampleKnowledge checkSources

In this lesson

PurposeCore theoryWorked exampleKnowledge checkSources
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ElectraCore lesson handout

Potential difference: the driving force

Electrical Fundamentals · Lesson 6 · Beginner

BeginnerReview: professional review pending

Purpose

Distinguish voltage from current and use potential difference correctly when describing a circuit.

Before you beginElectric charge · Conductors and insulators · Basic subtraction

Learning objectives

  • Define potential difference
  • Relate one volt to one joule per coulomb
  • Measure voltage in parallel
  • Explain source voltage and component voltage drop

Voltage describes an energy difference between two points. It is not a substance flowing through a wire: it tells us how much energy each coulomb could transfer moving between those points.

VOLTAGE: ENERGY PER CHARGEVOLTAGE: ENERGY PER CHARGE 12 Vsource riselamp12 V dropenergy carried to load

Core theory

A source separates charge and establishes an electric potential difference. A load converts electrical energy into heat, light, motion, or another form.

Potential is defined at a point relative to a reference; voltage is the difference between two potentials. That is why a voltmeter always uses two probes.

Across a closed-loop circuit, voltage rises supplied by sources balance voltage drops across loads when stored energy is not changing.

Terms, symbols, and units
TermMeaningSymbolUnit
Potential differenceEnergy transferred per unit charge between two pointsVvolt (V)
ChargeQuantity of electricityQcoulomb (C)
EnergyCapacity to do workEjoule (J)
V = E ÷ Q

Potential difference equals energy transferred divided by charge moved.

1 V = 1 J/C
Worked exampleA lamp transfers 24 J while 2 C of charge passes through it. Find the lamp voltage.

Assumptions: The stated energy is electrical energy transferred by the lamp; Values refer to the same interval.

  1. Identify: E = 24 J and Q = 2 C.
  2. Substitute: V = E ÷ Q = 24 J ÷ 2 C.
  3. Calculate: V = 12 J/C = 12 V.

The potential difference across the lamp is 12 V.

Reasonableness check: Each coulomb transfers 12 joules, so two coulombs transfer 24 joules.

Common mistakes
  • Calling voltage a flow
  • Quoting a voltage without identifying the two points
  • Connecting a voltmeter in series

Where this appears in practice

Technicians compare measured voltage at the supply and load to locate excessive drop in cables or connections.

SafetyVoltage measurement can expose the operator to live conductors. Use a correctly rated instrument, leads, PPE, and safe method; learners should not probe live installations without competent supervision.
Local code checkInstrument categories, permitted live work, nominal supply voltage, and safe procedures depend on location and task. Confirm current local rules.

Knowledge check

A device transfers 60 J for 5 C. What voltage is across it?

12 V. Use V = E/Q: 60 J ÷ 5 C = 12 J/C.

Answer: 12 V. Use V = E/Q: 60 J ÷ 5 C = 12 J/C.

Practical exercise

On a de-energised battery circuit or simulator, label the two points for each voltage reading before calculating or measuring it.

Summary

  • Voltage is an energy difference, not a flow
  • It is measured between two points
  • One volt equals one joule per coulomb

Sources and review

  • The Feynman Lectures on Physics, Volume II: Caltech; Online edition; Physics reference
  • International Electrotechnical Vocabulary: Electromagnetism: IEC; Current edition must be confirmed; International

Editorial review date: 2026-08-14. Professional electrical review is pending.

Educational material for learning and preliminary checks. Verify current local requirements and exact equipment instructions. This lesson does not replace competent professional work.

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