Maxwell’s Equations and Electromagnetic Waves - Physics (Undergraduate Foundation)

This course covers the four Maxwell's equations in integral form, displacement current, and electromagnetic oscillations. You will learn how Gauss's Law for electricity, Gauss's Law for magnetism, Faraday's Law, and the Ampere-Maxwell Law provide a single framework for all electromagnetic phenomena. The module explains how changing electric fields create magnetic fields and how these interactions produce self-propagating electromagnetic waves that travel at the speed of light. Understanding these equations is the foundation of modern telecommunications, radio engineering, and electronics. This knowledge allows you to understand how signals travel through space, how antennas work, and how light itself behaves as a wave. Whether you are building a simple radio circuit or designing complex wireless networks, these principles govern every device that uses electricity and magnetism to transmit information. By the end of this course, you will be able to apply the four fundamental equations to calculate electric and magnetic flux, identify the role of displacement current in capacitors, and describe the mathematical properties of electromagnetic waves. You will gain the skill to determine the speed, frequency, and wavelength of these waves in different media. You will also master the relationship between oscillating charges and the radiation they produce. This course is for undergraduate engineering and physics students who need a solid grasp of field theory. It is especially useful for those aiming for careers in electrical engineering, telecommunications, or renewable energy. Even if you are just starting your degree or transitioning from secondary school, this module provides the clarity needed to handle advanced technical concepts in electromagnetism and wave optics.

Enrolment valid for 12 months
This course is also part of the following learning track. You may join the track to gain comprehensive knowledge across related courses.
PHY 102: General Physics II - Electricity and Magnetism
PHY 102: General Physics II - Electricity and Magnetism
Electricity and magnetism run every home, factory, and phone all over the world. This track builds the technical foundation to master laws governing electrical energy and signals. You will progress from stationary charges to alternating current and electromagnetic waves. It simplifies the NUC CCMAS syllabus into actionable knowledge for solving practical technical problems. The programme is for first-year university and polytechnic students in engineering or physical sciences. It also serves school leavers preparing for university physics or technical entrance exams. Science teachers and technicians who need a solid refresher on core electrical principles will find the material direct and relevant to their work. You will learn to calculate electrical forces, design functional DC and AC circuits, and predict how magnetic fields drive motors and generators. You will master the use of Gauss's Law, Kirchhoff's rules, and Maxwell's equations to solve engineering challenges. Completing this track ensures success in PHY 102 exams and prepares you for a career in power systems, telecommunications, or renewable energy.

Electricity and magnetism run every home, factory, and phone all over the world. This track builds the technical foundation to master laws governing electrical energy and signals. You will progress from stationary charges to alternating current and electromagnetic waves. It simplifies the NUC CCMAS syllabus into actionable knowledge for solving practical technical problems. The programme is for first-year university and polytechnic students in engineering or physical sciences. It also serves school leavers preparing for university physics or technical entrance exams. Science teachers and technicians who need a solid refresher on core electrical principles will find the material direct and relevant to their work. You will learn to calculate electrical forces, design functional DC and AC circuits, and predict how magnetic fields drive motors and generators. You will master the use of Gauss's Law, Kirchhoff's rules, and Maxwell's equations to solve engineering challenges. Completing this track ensures success in PHY 102 exams and prepares you for a career in power systems, telecommunications, or renewable energy.

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Course Chapters

1. Introduction
4
This chapter introduces the fundamental laws that describe how electric and magnetic fields behave in space. These equations form the bedrock of electromagnetism and explain why magnetic monopoles do not exist. You will master Gauss's laws for electricity and magnetism; understand the physical significance of electric flux; and review Faraday's law of induction as a preparation for complete field theory.
Concept Overviews
4 Lessons
2. The Ampere-Maxwell Law
3
3
This chapter covers Maxwell's vital correction to Ampere's law which allows for the existence of electromagnetic waves. You will learn how changing electric fields create magnetic fields even in empty space. You will identify the limitations of the original Ampere's law; master the concept of displacement current; and calculate magnetic fields generated by charging capacitors.
Concept Overviews
3 Lessons
Problem Walkthroughs
3 Lessons
3. Maxwell's Equations
3
This chapter synthesises all previous laws into a single, unified framework for electromagnetism. You will understand how these equations predict the propagation of light as a wave. You will summarise the four fundamental equations in integral form; explain the production of electromagnetic waves; and derive the theoretical speed of light in a vacuum.
Concept Overviews
3 Lessons
4. Electromagnetic Waves
4
3
This chapter explores the properties and energy transmission of waves travelling through space. You will master the mathematical tools needed to analyse signals used in modern communications. You will define plane wave properties; master the relationship between field magnitudes; calculate wave intensity using the Poynting vector; and relate frequency to wavelength.
Concept Overviews
4 Lessons
Problem Walkthroughs
3 Lessons
5. Electromagnetic Oscillations
4
3
This chapter explains how energy is stored and transferred between capacitors and inductors in electronic circuits. You will learn the physics of resonance and signal generation. You will calculate resonant frequencies for tuning circuits; solve for maximum current and charge in oscillations; and determine the temporal distribution of stored energy.
Concept Overviews
4 Lessons
Problem Walkthroughs
3 Lessons
6. Conclusion
1
This final chapter reviews the unification of electricity and magnetism into a single field theory. It consolidates the principles of wave propagation and energy transfer mastered in the course. You will summarise the four Maxwell equations and prepare for the study of physical optics and electromagnetic radiation.
Concept Overviews
1 Lesson