Atomic Structure & Electric Charge

Learning Objectives

By the end of this lesson, you will be able to:

  • Describe the structure of an atom and its subatomic particles
  • Explain the difference between conductors, semiconductors, and insulators
  • Define electric charge and understand its quantized nature
  • Explain how electric current flows through materials

Introduction

Everything electrical starts at the atomic level. To understand electricity, we must first understand the atom—the building block of all matter. The behavior of electrons within atoms determines whether a material conducts electricity or insulates against it.

In this lesson, we'll explore the atomic structure, learn about electric charge, and understand why some materials allow electric current to flow while others resist it.

The Structure of the Atom

An atom is the smallest unit of matter that retains the properties of an element. Atoms consist of three main particles:

+ - - - - - - Electron orbit paths Nucleus (Protons + Neutrons)

Subatomic Particles

Particle Symbol Charge Mass Location
Proton p⁺ +1.602 × 10⁻¹⁹ C 1.673 × 10⁻²⁷ kg Nucleus
Neutron n⁰ 0 (Neutral) 1.675 × 10⁻²⁷ kg Nucleus
Electron e⁻ −1.602 × 10⁻¹⁹ C 9.109 × 10⁻³¹ kg Orbitals
💡 Key Insight

Electrons are much lighter than protons (about 1/1836th the mass), but they can move freely between atoms, which is why they are responsible for electrical current!

Electric Charge

Electric charge is a fundamental property of matter. It comes in two varieties: positive and negative. Like charges repel each other, while opposite charges attract.

Elementary Charge e = 1.602 × 10⁻¹⁹ Coulombs

Charged Objects

Objects become charged through the transfer of electrons:

  • Positively Charged: When an atom loses electrons (more protons than electrons)
  • Negatively Charged: When an atom gains electrons (more electrons than protons)
  • Neutral: Equal number of protons and electrons

Coulomb's Law

The force between two charged particles is given by Coulomb's Law:

Coulomb's Law F = k × (q₁ × q₂) / r²

Where:

  • F = Force in Newtons (N)
  • k = Coulomb's constant (8.99 × 10⁹ N·m²/C²)
  • q₁, q₂ = Charges in Coulombs (C)
  • r = Distance between charges in meters (m)
⚠️ Important

Coulomb's Law shows that electrical force decreases rapidly with distance (inverse square law). Doubling the distance reduces the force to 1/4 of its original value.

Conductors, Semiconductors, and Insulators

Materials are classified by how easily electrons can move through them:

Conductors

Materials with free electrons that can move easily. Examples include:

  • Copper (most common conductor)
  • Aluminum
  • Silver (best conductor)
  • Gold (corrosion-resistant)

Insulators

Materials that hold electrons tightly, preventing current flow:

  • Rubber
  • Plastic (PVC)
  • Glass
  • Ceramic
  • Dry air

Semiconductors

Materials whose conductivity can be controlled:

  • Silicon (most common)
  • Germanium
  • Gallium Arsenide
CONDUCTOR Free electrons move easily between atoms SEMICONDUCTOR Conductivity can be controlled (doping) INSULATOR Electrons tightly bound to atoms

How Electric Current Flows

When we connect a voltage source (like a battery) to a conductor, we create an electric field that pushes free electrons through the material.

Conventional Current vs Electron Flow

There are two ways to describe current flow:

  • Electron Flow: Electrons move from negative to positive terminal
  • Conventional Current: Positive charge "flows" from positive to negative
📝 Note

In most engineering contexts, we use conventional current (positive to negative). However, remember that electrons actually flow in the opposite direction!

Current Formula

Current is the rate of charge flow:

Current (I) I = Q / t

Where:

  • I = Current in Amperes (A)
  • Q = Charge in Coulombs (C)
  • t = Time in seconds (s)

Example Calculation

// Calculate the current when 10 Coulombs of charge
// flows through a conductor in 2 seconds

const charge = 10;    // Q = 10 C
const time = 2;       // t = 2 s

const current = charge / time;  // I = 5 A

console.log(`Current = ${current} Amperes`);

If 6.242 × 10¹⁸ electrons flow past a point in 1 second, that's 1 Ampere of current!

Practice Problems

Problem 1: Calculate Electron Charge

How many electrons make up a charge of 1 Coulomb?

Show Solution

Solution:

// Number of electrons = Total charge / Elementary charge
const elementaryCharge = 1.602e-19;  // 1.602 × 10⁻¹⁹ C
const totalCharge = 1;               // 1 C

const numElectrons = totalCharge / elementaryCharge;
console.log(`Number of electrons = ${numElectrons.toExponential(3)}`);
console.log(`= 6.242 × 10¹⁸ electrons`);

Answer: 6.242 × 10¹⁸ electrons

Problem 2: Calculate Current

If 50 Coulombs of charge flows through a wire in 10 seconds, what is the current?

Show Solution

Solution:

const charge = 50;   // Q = 50 C
const time = 10;      // t = 10 s

const current = charge / time;
console.log(`Current = ${current} A`);

Answer: 5 Amperes

Problem 3: Coulomb's Law

Two charges of 2 µC and -3 µC are separated by 0.1 meters. Calculate the force between them.

Show Solution

Solution:

const k = 8.99e9;      // Coulomb's constant
const q1 = 2e-6;        // 2 µC = 2 × 10⁻⁶ C
const q2 = -3e-6;       // -3 µC = -3 × 10⁻⁶ C
const r = 0.1;          // 0.1 m

const force = k * (Math.abs(q1 * q2)) / (r * r);
console.log(`Force = ${force.toFixed(2)} N`);

Answer: 53.94 N (attractive force)

Summary

  • Atoms consist of protons (positive), neutrons (neutral), and electrons (negative)
  • Electric charge is quantized in units of the elementary charge e = 1.602 × 10⁻¹⁹ C
  • Like charges repel, opposite charges attract
  • Conductors have free electrons; insulators tightly bound electrons
  • Semiconductors have conductivity that can be controlled
  • Current I = Q/t (Charge divided by time)