Electricity and Magnetism Fundamentals

Sep 1, 2024

Lecture Notes: Introduction to Electricity and Magnetism by Walter Lewin

Overview of Lectures

  • Lectures will complement the textbook.
  • Focus on concepts rather than tedious derivations.
  • Aim to demonstrate the beauty of physics.

Importance of Electricity and Magnetism

  • Present in everyday life: lights, clocks, microphones, TVs, computers, etc.
  • Light is an electromagnetic phenomenon.
  • Electricity is essential for movement (cars, planes, etc.) and bodily functions (nerve system, muscle contractions, etc.).
  • Chemical reactions and vision depend on electricity.

The Atom

  • Modern model: nucleus (small compared to atom size) with protons (positive) and neutrons (neutral).
  • Electrons form a cloud around the nucleus.
  • Neutral atoms have equal numbers of electrons and protons.
    • Removing an electron creates a positive ion.
    • Adding an electron creates a negative ion.
  • Mass of an electron is much smaller than that of protons and neutrons.

Size of Atoms

  • Six billion atoms lined up = 60 cm (comparable to world population).
  • Size of nucleus: ~10^-12 cm; size of atom: ~10^-8 cm.

Historical Context of Electricity

  • 600 B.C.: Rubbing amber attracts leaves; "electron" (Greek for amber) gives electricity its name.
  • 18th century: Two types of electricity discovered (from glass and rubber/amber).
    • Charged objects interact: like charges repel, opposite charges attract.
  • Benjamin Franklin's contributions:
    • Introduced the concept of "electric fluid" (positive and negative charges).
    • Established sign convention (glass = positive, rubber = negative).

Charge Conservation

  • Conservation of charge: creating positive charge also creates negative charge.
  • Conductors allow free movement of some electrons, while insulators do not.
  • Induction: movement of electrons in response to nearby charges.

Demonstration of Charge and Induction

  • Example using a positively charged glass rod and a conductor:
    • Electrons in the conductor move towards the rod, creating polarization.
    • Result: attraction between the rod and the conductor (balloon).
  • Demonstration with different materials to show positive and negative charges.

Induction in Non-Conductors

  • Non-conductors also show induction:
    • Electrons shift towards the charged object, creating a polarized area.
    • Non-conductors can still attract charged objects due to this polarization.

Examples of Electric Charge Through Friction

  • Rubbing balloons on clothing charges them (positive or negative).
  • Sparks can be generated through friction (e.g., combing hair).
  • Common experiences: shocks from doorknobs, static cling from plastic wrap.

Quantitative Analysis of Charges

  • Coulomb’s law describes the force between charges:
    • F = k * (|Q1 * Q2| / r^2)
    • k (Coulomb's constant) = 9 * 10^9 N m²/C².
  • Comparison of electric force vs gravitational force:
    • Electric forces are much stronger (by a factor of 10^36) than gravitational forces.

Electroscopes and Charge Measurement

  • Electroscope: measures charge quantitatively using conductive materials.
  • Charge causes a visible reaction (e.g., aluminum foil leaves repelling each other).

Final Demonstration: Van de Graaff Generator

  • Van de Graaff generator creates high voltages, demonstrating charge interaction.
  • Use of confetti to show repulsion of charges.

Closing Remarks

  • Students encouraged to experiment with static electricity safely at home.
  • Reminder: Electric forces dominate on small scales; gravity dominates on larger scales.