 Accelerating an atomic electron with a changing magnetic field
 Alfven’s theorem
 Alternating current
 Ampère’s law for steady currents
 Ampère’s law and the steady current assumption
 Ampère’s law: slab of current
 Ampère’s law: surface of integration
 Angular momentum in electromagnetic fields
 Angular momentum of a charge and magnetic monopole
 Angular momentum in a magnetized sphere
 Angular momentum conservation: example with a solenoid
 Auxiliary magnetic field H
 Average field over a sphere
 Average magnetic field within a sphere
 Balancing magnetic force with gravity
 BiotSavart law – current loops
 BiotSavart law: a couple more examples
 BiotSavart law: force on other currents
 A bizarre example of Faraday’s law
 Bound charges in a dielectric
 Boundary between magnetic materials
 Capacitance
 Changing a particle’s speed in a cyclotron
 Charging and discharging a capacitor: applying Ohm’s law
 Charging and discharging a capacitor: general case
 ClausiusMossotti formula – examples
 Coaxial cable with dielectric
 Coaxial cable with varying current
 Coaxial solenoids
 Conducting sphere halfembedded in dielectric plane
 Copper pipes in a conducting medium
 Coulomb’s law
 Coulomb’s law – deviation
 Curl & potential in electrostatics
 Curl & Stokes’s theorem
 Current between two plates with a spherical perturbation
 Current loop in a magnetic field
 Currents in magnetic fields
 Currents and relativity
 Detecting magnetic monopoles
 Diamagnetism
 Dielectric constant
 Dielectric cube: bound charges
 Dielectric cylinder in uniform electric field
 Dielectric examples
 Dielectric shell surrounding conducting sphere
 Dielectric sphere in uniform electric field
 Dielectric sphere with free charge
 Dipole in dielectric sphere
 Dipoledipole interactions
 Dipoledipole forces and torques
 Dipole force and energy
 Dipole between two angled conducting planes
 Dipoles
 Dirac delta function and divergence theorem
 Displacement current in a capacitor
 Displacement current in an infinite wire
 Displacement current is very small
 Divergence of magnetic field: magnetic monopoles
 Divergenceless vector field as a curl
 Dropping loops through magnetic fields
 Duality transformation for magnetic and electric charge
 Electric displacement
 Electric displacement: boundary conditions
 Electric field & potential – more examples
 Electric field of a dipole
 Electric field outside an infinite wire
 Electric field within a cavity inside a dielectric
 Electric and magnetic fields: cycloid motion
 Electric and magnetic forces in two charged wires
 Electric potential
 Electric potential – examples
 Electric potential from charges – Examples 1
 Electric potential from charges – Examples 2
 Electric potential from a steady current
 Electromagnetic field tensor: change in kinetic energy
 Electromagnetic field tensor: conservation of mass
 Electromotive force
 The electron as electromagnetic energy and angular momentum
 Electron charge to mass ratio
 Electron speed in a copper wire
 Electrostatic boundary conditions
 Electrostatic boundary conditions – examples
 Electrostatic pressure
 Electrostatics – conductors
 Electrostatics – linear charge distributions
 Electrostatics – point charges
 Electrostatics – surface charges
 Emf near an infinite wire
 Emf in a spinning spherical shell
 Energy in a dielectric
 Energy of conducting sphere in a dielectric shell
 Energy of magnetic dipole in magnetic field
 Energy in a magnetic field
 Energy in a toroidal solenoid
 Energy transfer in a solenoid
 Faraday field and magnetic vector potential
 Faraday’s law
 Faraday’s law, Ampère’s law and the quasistatic approximation
 Faraday’s law and the BiotSavart law
 Faraday’s law: cutting a currentcarrying wire
 Faraday’s law: wire loop encircling a solenoid
 Floating a magnet above a superconductor
 Force between current loops: Newton’s third law
 Field of a polarized cylinder
 Field of a polarized object
 Field of a polarized object – examples
 Force on a dielectric
 Force on a dielectric sphere due to a charged wire
 Force between two sheets of current
 Force between two magnetic dipoles
 Force on a magnetic dipole
 Force on a magnetic dipole – a better derivation
 Force on a magnetic dipole in a slab of current
 Gauss’s Law
 Gauss’s Law – examples
 Green’s reciprocity theorem
 Gyromagnetic ratio
 Hall effect
 Helmholtz coil
 Inductance of a coaxial cable
 Induction between a wire and a torus
 Laplace’s equation – average values of solutions
 Laplace & Poisson equations – uniqueness of solutions
 Laplace’s equation – charged disk
 Laplace’s equation – charged line segment
 Laplace’s equation – charged sphere
 Laplace’s equation – conducting sphere and shell of charge
 Laplace’s equation – cylindrical coordinates
 Laplace’s equation – cylindrical shell
 Laplace’s equation – cylindrical shell with opposing charges
 Laplace’s equation – Fourier series examples 1
 Laplace’s equation – Fourier series examples 2
 Laplace’s equation – Fourier series examples 3 – three dimensions
 Laplace’s equation – Fourier series examples 4
 Laplace’s equation – infinite pipe
 Laplace’s equation – separation of variables
 Laplace’s equation – spherical coordinates
 Laplace’s equation in spherical coordinates: examples 1
 Laplace’s equation in spherical coordinates: surface charge
 LC circuit – the oscillator
 LR circuit
 Lenz’s law
 Magnet falling through a metal pipe
 Magnetic dipole
 Magnetic dipole: average field over a sphere
 Magnetic dipole embedded in sphere
 Magnetic dipole in a constant field
 Magnetic dipole field of a finite solenoid
 Magnetic dipole moment of a current loop
 Magnetic dipole moment of spinning disk
 Magnetic dipole moment of spinning spherical shell
 Magnetic dipole moment for volume current
 Magnetic dipoles versus monopoles; an experiment
 Magnetic field of current loop – off axis field
 Magnetic field of rotating sphere of charge
 Magnetic field of a semicircular current loop
 Magnetic field of a solenoid
 Magnetic field of a sphere in a uniform field
 Magnetic fields of spinning disk and sphere
 Magnetic field of square current loop
 Magnetic field: uniqueness conditions
 Magnetic field within a cavity
 Magnetic field within a currentcarrying wire
 Magnetic flux
 Magnetic force of attraction between hemispheres
 Magnetic monopole: force on a charge
 Magnetic monopole force law
 Magnetic permeability
 Magnetic scalar potential
 Magnetic scalar potential: dipole and rotating sphere
 Magnetic toy
 Magnetic vector potential
 Magnetic vector potential: div, curl and Laplacian
 Magnetic vector potential of constant field
 Magnetic potential and field of a rotating sphere of charge
 Magnetic vector potential as the curl of another function
 Magnetic vector potential and current
 Magnetic vector potential of an infinite wire
 Magnetic vector potential from magnetic field
 Magnetic vector potential: sheet of current
 Magnetization: bound currents
 Magnetization: microscopic versus macroscopic
 Magnetostatics – the Lorentz force law
 Magnetostatic boundary conditions
 Magnetostatic boundary conditions: a couple of examples
 Magnetostatic boundary conditions; Laplace’s equation
 Magnetostatic formulas from electrostatic formulas
 Maxwell’s correction to Ampère’s law
 Maxwell’s equations and an expanding shell of charge
 Maxwell’s equations with varying charge but constant current
 Maxwell stress tensor
 Maxwell stress tensor: force between two charges
 Method of images
 Method of images – moving charge and plane
 Method of images – point charge and sphere
 Method of images – point charge and two planes
 Method of images – sphere in uniform field
 Method of images: two conducting planes
 Momentum in a capacitor
 Momentum in electromagnetic fields
 Momentum in a magnetized and polarized sphere
 Momentum of a point charge outside a solenoid
 Motional emf
 Multipole expansion in electrostatics
 Multipole expansion of linear charge
 Mutual inductance
 Mutual inductance between two magnetic dipoles
 Mutual inductance between two loops
 Mutual inductance: calculation from the integral
 Ohm’s law, conductivity and resistivity
 Ohm’s law with variable conductivity
 Perpetual motion in an electric circuit?
 Point charge and neutral atom
 Point charge embedded in dielectric plane
 Point charge in dielectric sphere
 Polarizability of hydrogen
 Polarizability of hydrogen – quantum version
 Polarizability – linear charge distribution
 Potential of two charged wires
 Potential of two copper pipes
 Poynting’s theorem
 Poynting’s theorem and conservation of energy
 Quadrupole moment
 Radially symmetric magnetic field
 Relation between polarizability and susceptibility
 Resistance in a conical capacitor
 Selfinductance
 Selfinductance of a long rectangle
 Solenoid with arbitrary crosssection
 Solenoid field from BiotSavart law
 Superconducting loop in a magnetic field
 Surface and volume current in a wire
 Surface and volume current density 2
 Surface current induced by a magnet floating over a superconductor
 Susceptibility of a polar dielectric
 ThompsonLampard theorem
 Toroidal solenoid with a gap
 Torque on a magnetic dipole
 Torque on a magnetic moment; general current distribution
 Transformers
 Transmission lines
 Two charged wires and a cylinder
 Uniform charge, polarization & magnetization
 Uniqueness of potential in dielectrics
 Vacuum diode
 Vector area
 Volume current density and dipole moment
 Work and energy – continuous charge
 Work and energy – point charges

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addition of angular momenta Ampere's law angular momentum atomic polarizability BiotSavart law black hole bosons Christoffel symbols circular orbit commutators covariant derivative cylindrical coordinates deltafunction well delta function dielectrics dipole dipole moment divergence theorem electric field electric potential electromagnetic field tensor energytime uncertainty principle event horizon Faraday's law fermions fine structure Finite square well flat space fourmomentum fourvelocity free particle geodesic equation gravitational lensing harmonic oscillator Hermite polynomials Hermitian operators hydrogen atom inductance infinite square well Laplace's equation Legendre polynomials Lorentz transformations magnetic dipole magnetic field magnetic monopole matrix elements method of images metric tensor momentum operator momentum space normalization perturbation theory photons polar coordinates polarization density quantum position operator radial equation raising and lowering operators reflection coefficient Riemann tensor Schrodinger equation Schwarzschild metric solenoid spherical coordinates spherical harmonics spin 1/2 statistical mechanics stressenergy tensor tensors transmission coefficient uncertainty principle variational principle vector potential WKB approximation Zeeman effect