Electromagnetism

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Author(s): D. Tong, ed. Dexter Chua
Series: Cambridge Mathematical Tripos Part IB Lecture Notes
Publisher: University of Cambridge
Year: 2015

Language: English
City: Cambridge
Tags: maths; mathematics; math; advanced; college; university; higher; further; pure; applied; physics; electricity; magnetism; electrodynamics; electromagnetism

Introduction
Preliminaries
Charge and Current
Forces and Fields
Electrostatics
Gauss' Law
Electrostatic potential
Point charge
Dipole
General charge distribution
Field lines and equipotentials
Electrostatic energy
Conductors
Magnetostatics
Ampere's Law
Vector potential
Magnetic dipoles
Magnetic forces
Electrodynamics
Induction
Magnetostatic energy
Resistance
Displacement currents
Electromagnetic waves
Poynting vector
Electromagnetism and relativity
A review of special relativity
A geometric interlude on (co)vectors
Transformation rules
Vectors and covectors in SR
Conserved currents
Gauge potentials and electromagnetic fields
Maxwell Equations
The Lorentz force law