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