Weeks | Topics |
1 |
Introduction to Electrostatic, Coulomb’s Law, The Electric Field, Continuous Charge Distributions, Field Lines and Gauss’s Law, The Divergence of E Vector, Applications of Gauss’s Law
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2 |
The Curl of E Vector, Introduction to Potential, Comments on Potential, Poisson’s Equation and Laplace’s Equation, The Potential of a Localized Charge Distribution, Electrostatic Boundary Conditions
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3 |
The Work Done to Move a Charge, The Energy of a Point Charge Distribution, The Energy of a Continuous Charge Distribution, Comments on Electrostatic Energy, Basic Properties of Conductors, Induced Charges, Surface Charge and the Force on a Conductor, Capacitors
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4 |
Basic Properties of Laplace’s Equation, Boundary Conditions and Uniqueness Theorems, The Classic Image Problem, Induced Surface Charge, Force and Energy, Other Image Problems
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5 |
Separation of Variables in Cartesian Coordinates, Separation of Variables in Spherical Polar Coordinates
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6 |
Multipole Expansions at Large Distances, The Monopole and Dipole Terms, Origin of Coordinates in Multipole Expansions, The Electric Field of an Ideal Dipole, Dielectrics, Induced Dipoles, Alignment of Polar Molecules, Polarization
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7 |
Interpretation of Physical Charges, The Field Inside a Dielectric, Gauss’s Law in the Presence of Dielectric, A Deceptive Parallel, Boundary Conditions
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8 |
Susceptibility, Permittivity and Dielectric Constant, Boundary Value Problems with Linear Dielectrics, Energy in Dielectric Systems, Forces on Dielectrics, Introduction to Magnetostatic, Magnetic Fields, Magnetic Forces, Currents
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9 |
Midterm
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10 |
Steady Currents, The Magnetic Field of a Steady Current and The Biot-Savart Law, Straight-Line Currents, The Divergence and Curl of B Vector, The Applications of Ampere’s Law, Comparison of Magnetostatics and Electrostatics
The Vector Potential, Magnetostatic Boundary Conditions, Multipole Expansion of the Vector Potential, Summary and Problem Solutions
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11 |
Magnetic Materials, Torques and Forces on Magnetic Dipoles, Effect of a Magnetic Field on Atomic Orbits, Magnetization, Bound Currents, Physical Interpretation of Bound Currents, The Magnetic Field Inside Matter, Ampere’s Law in Magnetized Materials, A Deceptive Parallel, Magnetic Susceptibility and Permeability, Ferromagnetism
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12 |
Ohm’s Law, Electromotive Force, Motional emf, Electromagnetic Induction, Inductance, Energy in Magnetic Fields, Electrodynamics Before Maxwell, How Maxwell Fixed Up Ampere’s Law, Maxwell’s Equations and Magnetic Charge, Maxwell Equations Inside Matter, Boundary Conditions, Scalar and Vector Potentials, Gauge Transformations, Coulomb Gauge and Lorentz Gauge
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13 |
Electromagnetic waves
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14 |
Radiation systems
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