| Week |
Tuesday |
Thursday |
| Aug 28 |
Mathematical introduction: Vectors |
Mathematical introduction: Vector differential operations |
| Sep 4 |
Mathematical introduction: Laplace operator; vector integral
calculus; curvilinear coordinates |
Mathematical introduction: Dirac delta-function. Theory of
vector fields |
| Sep 11 |
Electrostatics: Coulomb law, electric field, charge density,
Gauss law |
Electric potential |
| Sep 18 |
Boundary conditions. Electrostatic energy |
- no class - |
| Sep 25 |
Laplace equation. Uniquness theorems. Method of image charges. |
Capacitance. Method of image charges - continuation |
| Oct 2 |
Separation of variables in rectangular geometries |
Separation of variables in the spherical geometry |
| Oct 9 |
Separation of variables in spherical and cylindrical geometry |
Multipole expansion |
| Oct 16 |
Test 1 |
Magnetostatics. Magnetic field. Motion of charged particles. |
| Oct 23 |
Currents: linear, surface, volume. Continuity equation.
Biot-Savart law. Magnetic field of an infinite straight wire |
Biot-Savart law: applications. Divergence and curl of B from BS
law. |
| Oct 30 |
Ampere law in the differential and integral forms.
Applicatoins. Magnetic vector potential. |
Multipole expansion for magnetic vector potential. Magnetic
moment. |
| Nov 6 |
Dipolar field for electric and magnetic dipoles. Torque,
energy, and force for a simple electric dipole. |
Solving prolems. |
| Nov 13 |
Test 2 |
Ohm's law. Problems with non-uniform currents. Motional EMF in
particular cases. |
| Nov 20 |
- Thanksgiving -
|
- Thanksgiving - |
| Nov 27 |
Motional EMF in general. Faraday's law. Electric field
generated by changing magnetic field. |
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. |
| Dec 4 |
Maxwell equations. Additional Maxwell term and its
justification |
Poynting theorem. Electromagnetic waves in vacuum.
Transversality. Intensity. |
| Dec 11 |
Review |
------ |