Week 1
Introduction; Electric Field; Div, Grad, and Curl
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1 |
Introduction: Electrostatics |
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| 2 |
Electrostatics Problem Solving |
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Week 2
Mathematical Background
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3 |
Review: Vectors
Differential Calculus: Div, Grad, Curl
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| 4 |
Integral Calculus: Calculating Line Integrals; The Fundamental Theorem for Gradients |
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| 5 |
Integral Calculus: The Fundamental Theorem for Divergence |
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| 6 |
Dirac Delta Functions |
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Week 3
Gauss's Law and Electric Potential
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7 |
Coordinate Systems: Curvilinear Coordinates, Spherical Polar Coordinates |
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| 8 |
Divergence of Electrostatic Fields
Application of Gauss's Law
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Problem set 1 due |
| 9 |
Application of Gauss's Law (cont.)
The Curl of Electric Field
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| 10 |
Electric Potential; Poisson's Equation and Laplace's Equation |
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Week 4
Work and Energy in Electrostatics; Conductors and Capacitors
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11 |
Electrostatic Boundary Conditions
Conductors
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| 12 |
Work and Energy in Electrostatics |
Problem set 2 due |
| 13 |
Conductors and Capacitors |
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Week 5
The Method of Images and Multipole Expansion
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14 |
Laplace's Equation
The Method of Images
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| 15 |
Multipole Expansion
Electric Dipole
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Problem set 3 due |
| 16 |
Separation of Variables |
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| 17 |
Review for Exam 1 |
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Week 6
Electric Currents
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18 |
Exam 1 |
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| 19 |
Polarization, Dielectrics |
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Week 7
Direct Current Circuits and Special Relativity
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20 |
Dielectrics
Electricity and Magnetism
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| 21 |
Electricity and Magnetism (cont.)
Electric Currents
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Problem set 4 due |
| 22 |
Special Relativity |
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| 23 |
Special Relativity (cont.) |
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Week 8
Special Relativity and Magnetic Fields
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24 |
Special Relativity Problem Solving and Preview of Magnetic Fields |
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| 25 |
Magnetic Field and the Lorentz Force Law |
Problem set 5 due |
| 26 |
Magnetic Fields from Electric Fields |
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| 27 |
Ampere's Law |
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Week 9
Magnetic Fields, Magnetic Properties of Materials and Quantum Mechanics
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28 |
Problem Solving Ampere's Law
Griffiths Vector Potential
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| 29 |
Biot-Savart Law |
Problem set 6 due |
| 30 |
Magnetic Boundary Conditions
Multipole Expansion of Vector Potential, Magnetic Moments
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| 31 |
Magnetization
Magnetic Properties of Materials and Quantum Mechanics
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Week 10
Electromotive Force and Faraday's Law
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32 |
Review for Exam 2 |
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| 33 |
Exam 2 |
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| 34 |
Electromotive Force |
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| 35 |
Faraday's Law of Induction
The Induced Electric Field
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Week 11
Faraday's Law and Resonant Circuits
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36 |
Inductance |
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| 37 |
Energy in Magnetic Fields |
Problem set 7 due |
| 38 |
Energy in Magnetic Fields (cont.) |
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| 39 |
Alternating Current Circuits
Undriven LR, LC, and RLC Circuits
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Week 12
Resonant Circuits
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40 |
Alternating Current Circuits (cont.)
Undriven LR, LC, and RLC Circuits (cont.)
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| 41 |
Alternating Current Circuits (cont.) |
Problem set 8 due |
| 42 |
Alternating Current Circuits (cont.)
Maxwell's Equations
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Week 13
Maxwell's Equations; Poynting Vector
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43 |
Maxwell's Equations (cont.) |
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| 44 |
Maxwell's Equations in Matter and Boundary Conditions |
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| 45 |
Poynting Vector and Energy Conservation |
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| 46 |
Momentum
Exam 3 Review
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Week 14
Electromagnetic Waves
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47 |
Exam 3 |
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| 48 |
Electromagnetic Waves |
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| 49 |
Electromagnetic Waves (cont.) |
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| 50 |
Electromagnetic Waves (cont.) |
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Week 15
Advanced Topics
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51 |
Potential Formulation
Gauge Transformations
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Problem set 9 due |
| 52 |
Coulomb and Lorenz Gauge
Retarded Potentials
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| 53 |
Lienard-Wiechert Potentials and Field of a Moving Charge |
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