Week 1
Introduction, electric field
|
1 |
Intro: Electrostatics |
Sections 2.1.1-2.1.4. |
| 2 |
Electrostatics problem solving |
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Week 2
Mathematical background
|
3 |
Vector review |
Review: Vectors
Sections 1.1.1-1.1.4.
Differential calculus: Div, grad, curl
Sections 1.2.1-1.2.7.
|
| 4 |
Divergence, gradient, curl |
Sections 1.3.1-1.3.3. |
| 5 |
Integral calculus, Dirac delta function |
Section 1.3.4. |
| 6 |
Dirac delta function, curvilinear coordinates |
Section 1.5. |
Week 3
Gauss's law and electric potential
|
7 |
More curvilinear coordinates: Div and grad in spherical coordinates; Gauss's law |
Section 1.41. |
| 8 |
Applications of Gauss's law: Field lines, point charge, Gaussian surfaces |
Divergence of electrostatic fields
Sections 2.2.1-2.2.2.
Application of Gauss's law
Section 2.2.3.
|
| 9 |
Applications of Gauss's law: Line charge, plane charge |
Application of Gauss's law
Section 2.2.3.
The curl of electric field
Section 2.2.4.
|
| 10 |
Electric potential; Poisson's equation; Laplace's equation |
Sections 2.3.1-2.3.5. |
Week 4
Work and energy in electrostatics; conductors and capacitors
|
11 |
Electrostatic boundary conditions; conductors |
Electrostatic boundary conditions
Section 2.3.5.
Conductors
Section 2.5.
|
| 12 |
Capacitors, dielectrics, work |
Sections 2.4.1-2.4.4. |
| 13 |
Capacitors, work, first and second uniqueness theorems |
Sections 2.5.1-2.5.4. |
Week 5
The method of images and multipole expansion
|
14 |
Method of images |
Laplace's equation
Sections 3.1.3-3.1.6.
The method of images
Sections 3.2.1-3.2.4.
|
| 15 |
Parallel plate capacitor, electric dipole |
Multipole expansion
Sections 3.4.1-3.4.2.
Electric dipole
Sections 3.4.3-3.4.4.
|
| 16 |
Separation of variables |
Section 3.3. |
Week 6
Exam 1
|
17 |
Review for exam 1 |
|
| 18 |
Exam 1 |
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Week 7
Magnetostatics and special relativity
|
19 |
Dielectrics |
Sections 4.1, 4.2, and 4.3. |
| 20 |
Magnetostatics, electric currents |
Dielectrics
Section 4.4.
Electricity and magnetism
Purcell. Chapter 4.
|
| 21 |
Special relativity |
Electricity and magnetism
Purcell. Chapter 4.
|
| 22 |
Special relativity (cont.) |
Sections 12.1.1-12.1.4.
Purcell. Chapter 5.
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Week 8
Magnetic fields
|
23 |
Electric fields and force |
Sections 12.1.1-12.1.4.
Purcell. Chapter 5.
|
| 24 |
Magnetic fields; Lorenz force law |
Sections 5.1.1-5.1.3. |
| 25 |
Cycloidal motion; Biot-Savart law |
Sections 5.1.1-5.1.3. |
| 26 |
Biot-Savart law (cont.); Ampere's law |
Section 12.3.1.
Purcell. Chapter 5.
|
Week 9
Magnetic fields; Maxwell's laws; magnetic properties of materials
|
27 |
Maxwell's equations |
Sections 5.3.1-5.3.4. |
| 28 |
Induction |
Problem solving Ampere's law
Sections 5.3.1-5.3.4.
Griffiths vector potential
Section 5.4.1.
|
| 29 |
Magnetic boundary conditions; magnetic dipole |
Section 5.2. |
| 30 |
Magnetization; magnetic properties of materials |
Magnetic boundary conditions
Section 5.4.2.
Multipole expansion of vector potential, magnetic moments
Section 5.4.3.
|
Week 10
Exam 2; magnetized materials
|
31 |
Review for exam 2 |
|
| 32 |
Exam 2 |
|
| 33 |
Ampere's law in magnetized materials |
Magnetization
Sections 6.1-6.4.
Magnetic properties of materials and quantum mechanics
Feynman. Chapters 34-37.
|
| 34 |
Bound current; ferromagnetism |
Sections 7.1.1-7.1.3. |
Week 11
Circuits
|
35 |
Circuits |
Faraday's law of induction
Section 7.2.1.
The induced electric field
Section 7.2.2.
|
| 36 |
Circuits; undriven RC circuits; Thevenin's theorem |
Section 7.2.3. |
| 37 |
Thevenin's theorem (cont.); Ohm's law; Faraday's law; Lenz's law |
Section 7.2.4. |
| 38 |
Alternating current circuits |
Section 7.2.4. |
Week 12
Circuits (cont.)
|
39 |
Inductance |
Alternating current circuits
Purcell. Chapter 8.
|
| 40 |
Undriven RLC circuits |
Alternating current circuits
Purcell. Chapter 8.
|
| 41 |
Driven RLC circuits; Ladder impedance |
Purcell. Chapter 8. |
Week 13
Maxwell; momentum
|
42 |
Maxwell's equations |
Alternating current circuits
Purcell. Chapter 8.
Maxwell's equations
Section 7.3.
|
| 43 |
Poynting vector; Maxwell stress tensor |
Section 7.3. |
| 44 |
Conservation of momentum; Minkowski force |
Sections 8.1.1-8.1.2.
Momentum
Section 8.2.
|
| 45 |
Review for exam 3 |
|
Week 14
Electromagnetic waves
|
46 |
Exam 3 |
|
| 47 |
Electromagnetic waves |
Sections 9.1.1.1-9.1.2. |
| 48 |
Electromagnetic waves (cont.) |
Sections 9.1.1.1-9.1.3. |
| 49 |
Topics for next week; relativity |
Sections 12.1-12.3. |
Week 15
Advanced topics in relativity; quantum
|
50 |
Faraday tensor; Maxwell; General relativity |
Sections 12.1-12.3. |
| 51 |
Quantum |
|
| 52 |
Schrodinger equation |
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