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newSchoolWorks.com › VoTechWorks › Technology & Design › Electronics / Telecom Technician › DC and AC Circuit Theory and Measurement › Lesson 2
TEC-ELEC48-02 · Lesson 2 · 10.5 clock hours · theory

Atomic Theory, Charge, Voltage, Current, and Resistance

Objective. Students will explain the relationship between charge, voltage, current, and resistance using atomic theory and correctly convert between metric prefixes (milli-, micro-, kilo-, mega-) on at least 8 of 10 practice problems.

⚠ Pending professional review

This lesson, its worked examples and its practice questions has not yet been verified by an industry-certified professional or by a certification or approval body. It is a study draft and may contain errors. Do not use it as instructions for work on a job site or on live equipment. Always follow your instructor, your supervising professional, and current official references and regulations.

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Why Atomic Theory Matters in Electronics

Everything electrical begins at the atom. An atom has a nucleus containing positively charged protons and uncharged neutrons, surrounded by negatively charged electrons orbiting in shells. The outermost shell is called the valence shell. In metals such as copper, the valence electrons are held loosely and can drift freely from atom to atom — these are called free electrons, and their movement is the basis of electric current.

When an external force pushes free electrons through a conductor in one direction, useful electrical work can be done. Understanding this at the atomic level is the foundation for every measurement and calculation you will make as an electronics or telecom technician.

Electric Charge

Charge is a fundamental property of matter. Electrons carry a negative charge; protons carry an equal but positive charge. The unit of charge is the coulomb (C). One coulomb represents the combined charge of approximately 6.24 × 10¹⁸ electrons. When charge builds up on an object without flowing, it is called static electricity. When charge flows continuously, it becomes electric current.

Safety note: Static charge can destroy sensitive electronic components such as integrated circuits and MOSFETs. Always use an anti-static wrist strap connected to a grounded surface when handling static-sensitive devices, and work on a grounded anti-static mat.

Voltage — Electrical Pressure

Voltage (symbol V or E) is the electrical potential difference between two points. It is the force that pushes electrons through a circuit, similar to the pressure that pushes water through a pipe. Voltage is measured in volts (V), named after Alessandro Volta. One volt is defined as the potential difference that will move one coulomb of charge while doing one joule of work.

Voltage does not flow; it exists between two points. A battery, power supply, or generator creates the potential difference that drives current.

Safety note: Even modest voltages can be lethal under the right conditions. Voltages above 50 V DC or 25 V AC (the general threshold used in many safety standards) are considered hazardous. Always verify that a circuit is de-energized with a meter before touching conductors, and follow lockout/tagout (LOTO) procedures on any equipment that stores or supplies electrical energy.

Current — Electron Flow

Current (symbol I) is the rate at which charge flows past a point in a circuit. It is measured in amperes (A), named after André-Marie Ampère. One ampere equals one coulomb of charge passing a point per second.

There are two conventions for describing current direction:

Both conventions are correct in context; what matters is that you apply one consistently within a given analysis.

Resistance — Opposition to Flow

Resistance (symbol R) is the opposition to the flow of current in a material. It is measured in ohms (Ω), named after Georg Simon Ohm. One ohm is the resistance that allows exactly one ampere to flow when one volt is applied across it.

Every conductor has some resistance. Factors that increase resistance include: greater length of the conductor, smaller cross-sectional area, and higher temperature (in most metals). Resistors are components designed to provide a specific, controlled amount of resistance in a circuit.

The Water-Pipe Analogy

A helpful way to understand the relationship among voltage, current, and resistance is the water-pipe analogy:

| Electrical Quantity | Water Analogy |

|---|---|

| Voltage (V) | Water pressure (PSI) |

| Current (I) | Flow rate (gallons per minute) |

| Resistance (R) | Pipe restriction or valve |

More pressure pushes more water through the same pipe. A narrower pipe restricts flow even at the same pressure. These relationships mirror Ohm's Law exactly: V = I × R.

Metric Prefixes

Electrical values span an enormous range. Metric prefixes keep the numbers manageable. You must memorize these four for this program:

| Prefix | Symbol | Multiplier |

|---|---|---|

| mega- | M | × 1,000,000 (10⁶) |

| kilo- | k | × 1,000 (10³) |

| milli- | m | × 0.001 (10⁻³) |

| micro- | µ | × 0.000001 (10⁻⁶) |

Converting to base units: Multiply the number by the prefix multiplier.

Converting from base units: Divide by the prefix multiplier (or multiply by the reciprocal).

A practical tip: moving the decimal point is the fastest method. kilo shifts the decimal three places left when going to the base unit; milli shifts it three places right.

Connecting the Concepts

Charge, voltage, current, and resistance are not independent ideas — they define each other. Voltage is the pressure that drives charge; current is the moving charge; resistance is what opposes that motion. Every circuit measurement you make with a multimeter, every specification on a data sheet, and every troubleshooting step in fiber-optic and structured-cabling work ties back to these four quantities and the metric prefixes used to express them.

Key terms8

Free electronA valence electron that is loosely bound to its atom and can move easily through a conductor, enabling electric current.
ChargeA fundamental property of matter measured in coulombs (C); electrons carry negative charge and protons carry positive charge.
VoltageThe electrical potential difference between two points, measured in volts (V); the force that drives current through a circuit.
CurrentThe rate of flow of electric charge past a point, measured in amperes (A); one ampere equals one coulomb per second.
ResistanceThe opposition to the flow of current in a material, measured in ohms (Ω).
Conventional currentThe historical model that treats current as flowing from the positive terminal to the negative terminal of a source, opposite to actual electron movement.
Metric prefixA standardized multiplier attached to a unit symbol to express very large or very small values (e.g., kilo-, milli-, micro-, mega-).
CoulombThe SI unit of electric charge; approximately 6.24 × 10¹⁸ electrons make up one coulomb of charge.

Worked examples4

1. Convert 4.7 kΩ to ohms.
  1. Identify the prefix: kilo- (k) = 10³ = 1,000.
  2. Multiply the number by the prefix value: 4.7 × 1,000.
  3. Calculate: 4.7 × 1,000 = 4,700.
Answer: 4,700 Ω
2. Convert 330 µF to farads.
  1. Identify the prefix: micro- (µ) = 10⁻⁶ = 0.000001.
  2. Multiply the number by the prefix value: 330 × 0.000001.
  3. Calculate: 330 × 0.000001 = 0.000330.
Answer: 0.000330 F (or 3.30 × 10⁻⁴ F)
3. Convert 0.056 A to milliamperes.
  1. Identify the target prefix: milli- (m) = 10⁻³ = 0.001.
  2. To convert from amperes to milliamperes, divide the base value by 0.001, which is the same as multiplying by 1,000.
  3. Calculate: 0.056 × 1,000 = 56.
Answer: 56 mA
4. Convert 2.2 MΩ to ohms.
  1. Identify the prefix: mega- (M) = 10⁶ = 1,000,000.
  2. Multiply the number by the prefix value: 2.2 × 1,000,000.
  3. Calculate: 2.2 × 1,000,000 = 2,200,000.
Answer: 2,200,000 Ω

The math in this lesson2

Learners convert metric prefixes, e.g., 4.7 kilohms = 4,700 ohms and 330 microunits = 0.000330.
8.EE.4N-Q.1
Brush up in the math halls at newSchoolWorks.com:
In class: Instructor lecture with diagrams on electron flow, conventional current, and the definitions of the volt, ampere, and ohm; students annotate a diagram handout. · Metric-prefix drill worksheet: 20 conversion problems (e.g., 4.7 kΩ to ohms, 330 µF to farads) completed individually, then self-checked against an answer key. · Class discussion using a water-pipe analogy (pressure = voltage, flow = current, pipe restriction = resistance) where each student must contribute one analogy comparison in writing on an exit ticket.
Materials: Instructor slide deck, metric-prefix conversion handout, scientific calculators, whiteboard, ETA CET Technician Level Study Guide (relevant chapter)
Check: 10-question metric-prefix and concept quiz; pass mark = 70%. Students below 70% complete a targeted review worksheet before Lesson 3.

Practice check8

Answer each question, then check it. Nothing is recorded; this is your own practice.

ETA CET — DC Circuit Fundamentals
1. Which subatomic particle is primarily responsible for electric current in a metallic conductor?
ETA CET — DC Circuit Fundamentals
2. The unit of electric charge is the:
ETA CET — DC Circuit Fundamentals
3. In the water-pipe analogy for electric circuits, which electrical quantity is represented by the water pressure?
ETA CET — DC Circuit Fundamentals
4. Conventional current is defined as flowing from:
ETA CET — DC Circuit Fundamentals
5. A resistor is marked 10 kΩ. What is its resistance in ohms?
ETA CET — DC Circuit Fundamentals
6. A capacitor is rated at 470 µF. Expressed in farads, this value is:
ETA CET — DC Circuit Fundamentals
7. A signal level is measured at 0.025 A. Converted to milliamperes, this equals:
ETA CET — Safety and ESD Control
8. When handling a static-sensitive integrated circuit, which practice BEST protects the component from electrostatic discharge (ESD)?
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