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Assignments

Lec # Topics Assignments

1-3

Lecture 1: Introduction to Fields
Vectors, Index Notation, Basic Vector Operations

Lecture 2: Review of Vector Calculus
Potential Fields, Stokes and Divergence Theorems, Curvilinear Coordinates

Lecture 3: Vector Calculus in Spherical Coordinates, Volume and Area Elements, Dirac Delta Function

Problem Set 1 (PDF)

4-6

Lecture 4: Delta Function in Three Dimensions and in Curvilinear Coordinates, Laplacian of 1/r

Lecture 5: Electric Field, Coulomb's and Gauss's Laws, Boundary Conditions on Electric Field

Lecture 6: Electric Potential, Work and Energy in Electrostatics

Problem Set 2 (PDF)

7-9

Lecture 7: Conductors and Capacitors, Laplace's Equation, Mean Value and Uniqueness Theorems

Lecture 8: Image Charges, Separation of Variables

Lecture 9: Separation of Variables (cont.), Legendre Polynomials

Problem Set 3 (PDF)

10-11

Lecture 10: Multipole Expansion, Dipole Fields

Lecture 11: Dipoles and Electric Polarization in Matter

Problem Set 4 (PDF)

12-14

Lecture 12: Dielectrics, Bound and Free Charges, Electric Displacement

Lecture 13: Boundary Value Problems with Dielectrics

Lecture 14: Lorentz Force Law, Biot-Savart Law, Ampere's Law

Problem Set 5 (PDF)

15-17

Lecture 15: Magnetic Vector Potential, Boundary Conditions on B

Lecture 16: Magnetic Multipoles, Torque, Force, and Energy of Magnetic Dipoles

Lecture 17: Magnetic Materials, Paramagnetism, Diamagnetism, Magnetization, Bound Currents

Problem Set 6 (PDF)

18-20

Lecture 18: H Field, Boundary Conditions on H, Magnetic Susceptibility and Permeability, Ampere's Law with Free Currents, Ferromagnetism

Lecture 19: Midterm Exam (Chapters 1-6)

Lecture 20: Ohm's Law, EMFs, Faraday's Law

Problem Set 7 (PDF)

21-23

Lecture 21: Inductance, Magnetic Energy Density

Lecture 22: Displacement Current, Charge Conservation, Field Lines, Polarization Current, Maxwell Equations in Matter

Lecture 23: Boundary Conditions on Fields, Energy-momentum Conservation for EM Fields, Poynting Theorem, Charging Capacitor

Problem Set 8 (PDF)

24-28

Lecture 24: Momentum carried by EM Fields, Maxwell Stress Tensor, Momentum Flux

Lecture 25: Waves in One and Three Dimensions, Reflection and Transmission, Polarization

Lecture 26: Electromagnetic Waves in Vacuum, Energy and Momentum carried by EM Waves

Lecture 27: EM Waves in Matter, Reflection and Transmission at a Dielectric Interface, Laws of Geometric Optics

Lecture 28: Fresnel Equations, Polarization by Reflection, EM Waves in Imperfect Conductors

Problem Set 9 (PDF)

29-33

Lecture 29: How a Microwave Oven Works: Joule Heating by EM Waves in Imperfect Conductors

Lecture 30: Lorentz Oscillator Model for Atomic Dispersion and Absorption, Negative-index Materials

Lecture 31: Waveguides, TE and TM Modes

Lecture 32: Helmholtz Theorem, EM Potentials, Gauge Transformations, Coulomb Gauge, Lorentz Gauge and Green's Function Solution

Lecture 33: Coulomb Gauge Potentials, Jefimenko's Equations, Lienard-Wiechert Potentials

Problem Set 10 (PDF)

34-36

Lecture 34: EM Fields of a Moving Point Charge, Geometric Interpretation of Radiation Fields, Radiation from an Accelerated Charge, Power Pattern

Lecture 35: Radiated Power, Radiation Reaction, Electric Dipole Radiation, Larmor Formula

Lecture 36: Electric Quadrupole and Magnetic Dipole Radiation, Thomson Scattering

Problem Set 11 (PDF)