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Electricity and Magnetism -- Fall 2019
Book: D. J. Griffith: Introduction to Electrodynamics, Fourth
Edition
| Week |
Tuesday |
Thursday |
| Aug 26 |
Mathematical introduction: Vectors |
Mathematical introduction: Vector differential operations |
| Sep 2 |
Mathematical introduction: Laplace operator; vector integral
calculus. |
- No class - |
| Sep 9 |
Mathematical introduction: Curvilinear coordinates. |
Dirac delta-function. Mathematical introduction: Theory of
vector fields, Helmholtz theorem. |
| Sep 16 |
Electrostatics: Coulomb law, electric field, charge
density, Gauss law. |
Problem solving. |
| Sep 23 |
Electric potential. Boundary conditions. Electrostatic energy. |
Capacitance. Laplace equation. Uniquness theorems. Method of image charges. |
| Sep 30 |
- No class - |
Charges induced on a metallic plane. Method of image charges
for a sphere and a point charge. Separation of variables in rectangular
geometries. |
| Oct 7 |
- No class - |
Separation of variables in spherical and cylindrical geometry. |
| Oct 14 |
Multipole expansion |
Problem solving |
| Oct 21 |
Test 1 |
Magnetostatics. Magnetic field. Motion of charged particles. |
| Oct 28 |
Analysis of Test 1. Currents: linear, surface, volume.
Continuity equation. Force on a current. |
Magnetic field of an infinite straight wire. Biot-Savart law:
applications. |
| Nov 4 |
Divergence and curl of B from BS law. Ampere law in the
differential and integral forms. Applicatoins. |
Homework session. Students propose problems to solve at the
blackboard. |
| Nov 11 |
Magnetic vector potential. Multipole expansion for magnetic vector potential. Magnetic
moment.
 |
Homework session. Students propose problems to solve at the
blackboard. |
| Nov 18 |
Dipolar field for electric and magnetic dipoles. Torque,
energy, and force for a simple electric dipole. Ohm's law.
|
Test 2 |
| Nov 25 |
Problems with non-uniform currents. Motional EMF in particular
cases. Motional EMF in general. Faraday's law. Electric field
generated by changing magnetic field. |
- Thanksgiving - |
| Dec 02 |
Electric field generated by a slow change of the current in a
straight wire. Mutual inductance and self-inductance. Energy of magnetic and
electric fields from solenoid and capacitor. |
Maxwell equations. Additional Maxwell term and its
justification |
| Dec 09 |
Poynting theorem. Electromagnetic waves in vacuum.
Transversality. Intensity.Review |
Review |
|
Homework problems from the book
- Vector Analysis: 1.3, 1.4, 1.11, 1.13, 1.15, 1.18, 1.25,
1.26, 1.29, 1.33, 1.39, 1.40, 1.44, 1.46, 1.48, 1.50
- Electrostatics: 2.2, 2.4, 2.5, 2.6, 2.7, 2.14, 2.25,
2.42, 2.43, 2.49, 2.50, 2.57. Study Example 2.9.
- Potentials
- Separation of variables: 3.3, 3.9, 3.13. Study examples 3.4 and 3.5.
- Multipole expansion: 3.27, 3.30, 3.34
- Magnetostatics
- Currents: 5.5
- Biot-Savart law: 5.8, 5.9, 5.10, 5.11.
- Ampere's law: 5.15, 5.16
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