Welcome to the core Electricity and Magnetism course for Year 2 Physics students. This 60-hour intensive program serves as the critical bridge between introductory physics and advanced theoretical electrodynamics. We will begin by establishing a rigorous mathematical foundation using vector calculus, which is essential for expressing the laws of nature in their local, differential forms.

Throughout this course, we will deeply investigate the physical properties of static electric and magnetic fields, examine how these fields interact with matter (conductors, dielectrics, and magnetic materials), and analyze the flow of charges in electrokinetic systems. Ultimately, we will explore time-dependent fields, showing how electricity and magnetism are inextricably linked, culminating in the elegant synthesis of classical electromagnetism: Maxwell's Equations.

Course Outcomes

By the end of this course, students will be able to:

Apply mathematical operators (gradient, divergence, curl, and Laplacian) to physical scalar and vector fields in multiple coordinate systems.
Analyze static fields by applying Coulomb's, Gauss's, Biot-Savart, and Ampere's laws to complex, continuous charge and current distributions.
Solve boundary value problems using Poisson's and Laplace's equations for various physical media.
Evaluate circuit behavior for DC, AC, transient (RC/RL), and resonant (LCR) systems using established theorems.
Synthesize the fundamental laws of electromagnetism into Maxwell's Equations and understand the physical implications of time-varying fields and displacement current.

Course Outline (13 Sections)

Section	Topics Covered
Section 1	Mathematical Essentials: Vector fields, Gradient, Divergence, Curl, Laplacian.
Section 2	Electrostatics I: Charge quantization, Coulomb’s Law, Superposition, Electric Field.
Section 3	Electrostatics II: Flux, Gauss’s Law (Integral and Differential forms).
Section 4	Electric Potential: Line integrals, Conservative fields, Poisson and Laplace equations.
Section 5	Continuous Distributions: Multipole expansion, Work and Energy in static systems.
Section 6	Conductors & Capacitors: Electrostatic equilibrium, Coulomb’s theorem, Capacitance.
Section 7	Dielectrics: Polarization, Displacement field (D), Boundary conditions.
Section 8	Electrokinetics: Continuity equation, Ohm’s Law, Kirchhoff’s Laws, Network Theorems.
Section 9	Magnetostatics I: Biot-Savart Law, Lorentz Force, Properties of Magnetic field (B).
Section 10	Magnetostatics II: Ampere’s Law, Divergence and Curl of B, Vector Potential (A).
Section 11	Magnetic Materials: Magnetization (M), Magnetic field intensity (H), Boundary conditions.
Section 12	Electrodynamics I: Faraday’s Law, Induced EMF, Inductance, RC/RL transients.
Section 13	Electrodynamics II: AC/LCR Resonance, Displacement Current, Maxwell’s Equations.