PH2420 Lecture Contents

Lec 1	1.1	Overview
	1.2	History of ideas of electromagnetism
	1.3	Structure of the course
Lec 2	2.1	Coulomb’s law
	2.2	The electric field
	2.3	Linearity and superposition
	2.4	Lines of force – electric flux
	2.5	Gauss’s law
Lec 3	2.6	Work in an electric field
	2.7	Electric potential
	2.8	Calculation of E from V
	2.9	The capacitor
	2.10	Electric field energy
Lec 4	3.1	Vector algebra
	3.1.1	Vectors
	3.1.2	Dot product
	3.1.3	Cross product
	3.1.4	Multiple products
	3.2	Vector calculus
	3.2.1	Divergence
	3.2.2	The divergence in electrostatics
Lec 5	3.2.3	Curl
	3.2.4	The curl in electrostatics
	3.2.5	The gradient
	3.2.6	An application of the gradient
	3.2.7	Summary of vector calculus identities
	3.2.8	Nabla or del notation
Lec 6	4.1	Summary of properties of E
	4.2	The equations of Poisson and Laplace
	4.3	— Not done as covered in PH2130
	4.4	Properties of conductors
	4.5	Validity of the inverse square law
	4.6	Summary of electrostatics results
Lec 7	5.1	Current density vector
	5.2	Equation of continuity
	5.3	Conductivity
	5.4	Ohm’s law
	5.5	Power dissipation
Lec 8	5.6	Kirchhoff’s laws
	5.6.1	Current law
	5.6.2	Voltage law
	5.7	Laplace’s equation in conductors
	5.8	Anisotropic media and tensors
Lec 9	6.1	Ampère’s investigations
	6.2	Magnetic field
	6.3	Field of a long wire
	6.4	Force between two long parallel wires
Lec 10	6.5	The Lorentz force
	6.6	Ampère’s law
	6.7	The curl of B
	6.8	The divergence of B
Lec 11	7.1	The story so far
	7.2	Faraday’s law
	7.3	Displacement current
	7.4	Maxwell’s equations
Lec 12	7.5	EM waves in free space
	7.6	Poynting’s theorem – energy transport
Lec 13	7.7	Incompatibility with Newton’s laws
	7.7.1	Transformation of co-ordinates and fields
	7.7.2	Transformation of a Maxwell equation
	7.7.3	The Lorentz transformatiom
		Section 8 to be studied independently
Lec 14	9.1	Field in a solenoid
	9.2	Magnetic vector potential
	9.3	Fields from potentials
Lec 15	9.4	Self inductance
	9.5	Mutual inductance
	9.6	Coupling coefficient & matrix represent^n
	9.7	Energy of a magnetic field
Lec 16	9.8	Finding the potentials
		Gauge matters
	9.9	Summary of magnetostatics
Lec 17	10.1	Dielectrics and dipoles
	10.2	Electric potential of a dipole
	10.3	Electric field of a dipole
		Brief discussion of quadrupoles & higher
Lec 18	10.4	Dipole in a uniform field
	10.5	Dipole in a non-uniform field
Lec 19	10.6	Free and bound charges
	10.7	Bound surface charge density
	10.8	Bound volume charge density
	10.9	Gauss’s law including dielectrics
	10.10	Fields in matter
	10.11	Dielectric constant & electric susceptibility
Lec 20	10.12	Fields at boundaries
	10.13	Coulomb’s law revisited
	10.14	Comparison of dielectrics and free space
Lec 21	11.1	Magnetic media and magnetic dipoles
	11.2	Diamagnetism and paramagnetism
	11.3	Ferromagnetism
	11.4	Bound surface current
	11.5	Bound volume current
	11.6	Ampère’s law including magnetics
Lec 22	11.7	Displacement current
	11.8	Macroscopic Maxwell equations
	11.9	Magnetic susceptibility and permeability
	11.10	Measuring B and H
Lec 23	11.11	Properties of ferromagnets
	11.12	Boundary conditions
	11.13	EM waves in matter
	11.14	Macroscopic and microscopic fields
Lec 24		Sp. topic 1 Quantum connections
Lec 25		Sp. topic 2 The Hall effect
Lec 26		Sp. topic 3 Skin depth
Lec 27		Sp. topic 4 Superconductivity