電磁學上

This one-year (two semesters) course deals with the fundamentals of classical electricity and magnetism.

Topics to be covered in the first semester: (basically following the textbook, but not necessarily in this order)

1. Vector analysis
Vector algebra; vector different ial calculus; vector integral calculus; curvilinear coordinates; Dirac delta function, Helmholtz theorem.

2. Electrostatics
Principle of linear superposition; Coulomb’s law; static electric field; Gauss’s law; electric potential; Poisson’s equation and Laplace’s equation; work and energy in electrostatics;conductors and capacitors.

3. Potentials
Uniqueness of solution; method of images; separation of variables; using complex variables; multipole expansion; averaging property o f the Laplacian, and numerical solution.

4. Electric Fields in Matter
Polarization; D-field and bo undary conditions; Energy.

5. Magnetostatics
Lorentz force law; Biot-Savart law; Ampere’s law; Magnetic vector potential

6. Magnetic Fields in Matter
Torque and force on a magne tic dipole; Magnetization; H-field and boundary conditions.