Fundamental Concepts of Electricity

Jan 27, 2025

Lecture Notes on Basic Concepts and Laws of Electricity

Introduction

  • Basic concepts of electricity, familiar from O-level physics.
  • Topics covered: electrical charge, conduction in metals, voltage, current, power, energy, resistivity, circuit connections, and culture sports.

Electric Charge

  • Fundamental quantity in electric circuits.
  • Atoms consist of electrons, protons, and neutrons.
  • Charge of Electron: -1.602 x 10^-19 coulombs.
  • Coulomb: Large unit, 6.24 x 10^18 electrons per coulomb.
  • Laboratory values are usually in microcoulombs, nanocoulombs, or picocoulombs.

Conduction in Metals

  • Metals have conductive properties due to valence electrons.
  • Metallic Bonds: Electrons shared in a "sea" around positive ions.
  • Electric Current: Motion of free electrons when a potential is applied.

Voltage and Current

  • Voltage (V): Work needed to move a unit charge between two points.
  • Current (I): Charge flow per unit time, measured in amperes (A).
  • The flow of electrons creates a current from negative to positive terminals.

Power and Energy

  • Power (P): Time rate of energy expenditure, measured in watts (W).
  • Energy: Capacity to do work, measured in joules (J).
  • Example: 100 W bulb for 2 hours -> 0.72 MJ energy consumed.

Resistivity and Resistance

  • Resistivity: Material's opposition to current, depends on material and temperature.
  • Resistance (R): Proportional to length, inversely to cross-sectional area.
  • Ohm's Law: V = IR, relates voltage, current, and resistance.
  • Conductance (G): Reciprocal of resistance, measured in Siemens.

Circuit Analysis

  • Nodes: Points of connection between branches.
  • Branches: Elements between two nodes.
  • Loops: Closed paths in a circuit.
  • Kirchhoff’s Laws:
    • Current Law: Sum of currents entering a node equals the sum leaving.
    • Voltage Law: Sum of voltages around a loop equals zero.

Resistors in Circuits

  • Series: Equivalent resistance is the sum of resistances.
  • Parallel: Reciprocal of equivalent resistance is the sum of reciprocals.
  • Voltage Divider Rule: Voltage across a resistor in series is a fraction of total.
  • Current Divider Rule: Current through a branch is a fraction of total current.

Practical Examples

  • Voltage Drop: Calculating across a transmission line.
  • Safety with Electricity: Effects of current on the human body, safe handling of electrical devices.

Conclusion

  • Understanding basic laws and concepts is crucial for circuit analysis.
  • Emphasis on practice and asking questions to clarify understanding.