This repository includes the source code for my PHYS201 (Electromagnetism I) lectures delivered at the University of Liverpool from 2014/15 to date. PHYS201 is a 15-credit, second-year undergraduate module attended by about 150 students from several courses, including Physics, Mathematical Physics, Astronomy, Geology, Ocean Sciences and Medical Physics. The 12 2-hr lectures represent 50% of scheduled contact time, with the rest devoted to workshops.
The PDF output of the TeX source of this repository can be found here (986 pages, 68 MB)
Prof. Costas Andreopoulos, FHEA
University of Liverpool, Department of Physics
Oliver Lodge Lab 316, Liverpool L69 7ZE, UK
E-Mail: < c.andreopoulos \at cern.ch >
Tel: +44-1517-943201 (office)
- To introduce the fundamental concepts and principles of electrostatics, magnetostatics, electromagnetism and Maxwell's equations, and electromagnetic waves.
- To introduce differential vector analysis in the context of electromagnetism.
- To introduce circuit principles and analysis (EMF, Ohm's law, Kirchhoff's rules, RC and RLC circuits)
- To introduce the formulation of Maxwell's equations in the presence of dielectric and magnetic materials.
- To develop the ability of students to apply Maxwell's equations to simple problems involving dielectric and magnetic materials.
- To develop the concepts of field theories in Physics using electromagnetism as an example.
- To introduce light as an electromagnetic wave.
- Electric charge, Coulomb’s law, Charge density
- Electric field, Principle of Superposition
- Electric flux, Gauss’ law (integral form)
- Mutual potential energy of point charges, electric potential
- Calculating the field from the potential (gradient)
- Circulation, charges on conductors
- Gauss’ law in differential form (divergence)
- Circulation law in differential form (curl)
- Poisson’s and Laplace’s laws and solutions
- Electric dipole
- Electrostatics and conductors, method of images
- Gauss’ and Stokes’ theorems
- EMF, potential difference, electric current, current density
- Resistance, Ohm’s law
- Circuits, Kirkhhoff’s rules
- Capacitance, calculation of capacitance for simple cases, RC circuits
- Dielectrics, polarization, electric displacement field
- Capacitance in the presence of dielectrics, force on a dielectric
- Magnetism, magnetic field, Biot-Savart law
- Lorentz force, force between currents
- Charged particle motion in magnetic field, velocity filter
- Magnetic dipole field, Ampere’s law in integral and differential forms
- Maxwell’s equations in vacuum for steady conditions
- Vector potential
- Magnetic materials, magnetization, magnetic field strength
- Maxwell’s equations in the presence of materials for steady conditions
- Motion of conductors inside magnetic fields, Faraday’s and Lenz’s laws
- Time-varying fields, Maxwell’s equations for the most general case
- Derivation of electromagnetic waves from Maxwell’s equations, speed of light
- LCR circuits