bmgxyz / lonngren2e

Solutions to the problems in Fundamentals of Electromagnetics with MATLAB, 2nd ed.

Solutions to the problems in Fundamentals of Electromagnetics with MATLAB, 2nd ed., by Lonngren, Savov, and Jost (ISBN 1-891121-58-8). I have organized the solutions by chapter and section. All solutions have a MATLAB file, a LaTeX file, or both. I have included the text of the problem with each solution file. Note that I completed the MATLAB problems with GNU Octave, so I'm not certain that they will work flawlessly with MATLAB.

• 1 — MATLAB, Vectors, and Phasors
  • 1.1 — Understanding Vectors Using MATLAB
  • 1.2 — Coordinate Systems
  • 1.3 — Integral Relations for Vectors
  • 1.4 — Differential Relations for Vectors
  • 1.5 — Phasors
• 2 — Electrostatic Fields
  • 2.1 — Coulomb's Law
  • 2.2 — Electric Field
  • 2.3 — Superposition Principles
  • 2.4 — Gauss's Law
  • 2.5 — Potential Energy and Electric Potential
  • 2.6 — Numerical Integration
  • 2.7 — Dielectric Materials
  • 2.8 — Capacitance
• 3 — Magnetostatic Fields
  • 3.1 — Electrical Currents
  • 3.2 — Fundamentals of Magnetic Fields
  • 3.3 — Magnetic Vector Potential and the Biot-Savart Law
  • 3.4 — Magnetic Forces
  • 3.5 — Magnetic Materials
  • 3.6 — Magnetic Circuits
  • 3.7 — Inductance
• 4 — Boundary Value Problems Using MATLAB
  • 4.1 — Boundary Conditions for Electric and Magnetic Fields
  • 4.2 — Poisson's and Laplace's Equations
  • 4.3 — Analytical Solution in One Dimension—Direct Integration Method
  • 4.4 — Numerical Solution of a One-Dimensional Equation—Finite Difference Method
  • 4.5 — Analytical Solution of a Two-Dimensional Equation—Separation of variables
  • 4.6 — Finite Difference Method Using MATLAB
  • 4.7 — Finite Element Method Using MATLAB
  • 4.8 — Method of Moments Using MATLAB
• 5 — Time-Varying Electromagnetic Fields
  • 5.1 — Faraday's Law of Induction
  • 5.2 — Equation of Continuity
  • 5.3 — Displacement Current
  • 5.4 — Maxwell's Equations
  • 5.5 — Poynting's Theorem
  • 5.6 — Time-Harmonic Electromagnetic Fields
• 6 — Electromagnetic Wave Propagation
  • 6.1 — Wave Equation
  • 6.2 — One-Dimensional Wave Equation
  • 6.3 — Time-Harmonic Plane Waves
  • 6.4 — Plane Wave Propagation in a Dielectric Medium
  • 6.5 — Reflection and Transmission of an Electromagnetic Wave
• 7 — Transmission Lines
  • 7.1 — Equivalent Electrical Circuits
  • 7.2 — Transmission Line Equations
  • 7.3 — Sinusoidal Waves
  • 7.4 — Terminations
  • 7.5 — Impedance on the Transmission Line Matching
  • 7.6 — Smith Chart
  • 7.7 — Transient Effects and the Bounce Diagram
  • 7.8 — Pulse Propagation
  • 7.9 — Lossy Transmission Lines
  • 7.10 — Dispersion and Group Velocity
• 8 — Radiation of Electromagnetic Waves
  • 8.1 — Radiation Fundamentals
  • 8.2 — Infinitesimal Electric Dipole Antenna
  • 8.3 — Finite Electric Dipole Antenna
  • 8.4 — Loop Antennas
  • 8.5 — Antenna Parameters
  • 8.6 — Antenna Arrays