
Explore Maxwell's equations, the four pillars of classical electromagnetism, linking electric charges and currents to electric and magnetic fields, deriving electromagnetic waves and the nature of light.
Explore Gauss's law for magnetism, showing zero net flux through any closed surface, no magnetic monopoles, and magnetic field lines that form closed loops, with both integral and differential formulations.
Explore Faraday's law of induction, where a changing magnetic field induces EMF in a loop of wire and powers generators and transformers, proportional to rate of change of magnetic flux.
Learn how Ampere's law gains Maxwell's correction via the displacement current, ensuring magnetic field continuity for time-varying electric fields, and how this underpins electromagnetic phenomena and waves.
Apply Gauss's law for electricity to a hollow sphere, compute enclosed charge from charge density, and derive the electric field using the sphere’s surface area and epsilon0.
Explore quantum states and the superposition principle in nanoscale systems, where decoherence limits quantum behavior. Demonstrate how qubits, interference, and entanglement empower quantum computing and sensors.
Explore quantum mechanics in material science with superconductors and graphene, explaining Cooper pairs, BCS theory, zero resistance, Meissner effect, and graphene's high electron mobility from band structure.
This course explores the fundamental principles of modern physics and their direct applications in engineering and technology. Divided into four modules, it provides a foundational understanding of electromagnetism, relativity, quantum mechanics, and their role in cutting edge innovations.
The first module focuses on electromagnetism, beginning with Maxwell’s equations, which describe the behavior of electric and magnetic fields. Students will explore electromagnetic waves, their properties, and practical applications, including electric motors, inductive charging, etc.
The second module covers relativity, starting with Einstein’s postulates and the Lorentz transformations. Topics such as time dilation, length contraction, relativistic energy, and the curvature of spacetime will be examined, highlighting their relevance in technologies like GPS and particle accelerators.
The third module introduces quantum mechanics, discussing foundational concepts such as wave-particle duality, the Schrödinger equation, quantum superposition, and tunneling effects. These principles are key to understanding nanoscale systems, quantum computing, and advanced materials like superconductors.
The final module connects these concepts to real world applications, exploring how modern physics enables advancements in communication, material science, and energy systems. Topics include photonics in data transmission, graphene and superconductors in electronics, and nuclear physics in energy production and medical imaging.
By the end of this course, students will develop a better theoretical foundation in modern physics while gaining insight into its technological implications. Through a case study, they will learn to analyze and apply these principles to real world engineering challenges.