ECE232 Fundamentals of Electromagnetics Lecture 1

These flashcards cover key concepts in the lecture notes for ECE232, focusing on electromagnetics principles such as electrostatics, magnetostatics, vector analysis, and relevant mathematical techniques.

What are the three main parts of the ECE232 course?

Electrostatics, Magnetostatics, and Time-Varying (Electrodynamics).

What does the electrostatics part of the course cover?

The electric field, divergence and curl of the electric field, electric potential, work and energy in electrostatics, conductors, and electric field in matter.

What law starts the magnetostatics portion of the course?

The Lorentz force law.

Which law is introduced in the study of magnetostatics?

The Biot-Savart law.

What does Maxwell’s equations describe?

The time-varying aspects of electromagnetism.

What is the standard textbook for the course?

D. J. Griffiths, Introduction to Electrodynamics, 4th edition.

What is divergence in vector analysis?

A measure of how much a vector field spreads out from a point.

What does the curl of a vector field measure?

How much the vector field curls or rotates around a point.

What is the formula for the divergence of a vector field v?

∇ · v = ∂vx/∂x + ∂vy/∂y + ∂vz/∂z.

State the product rule for gradients: ∇(fg).

∇(fg) = f∇g + g∇f.

What does the Laplacian operator ∇² represent mathematically?

∇²T = ∂²T/∂x² + ∂²T/∂y² + ∂²T/∂z².

What is the importance of the curl of a gradient?

The curl of a gradient is always zero.

How is the auxiliary field H related to magnetization?

It describes the magnetic field in matter.

What mathematical technique is introduced to solve Laplace's equation in the course?

Separation of variables.

What vector operation is not commutative?

Cross product (A × B ≠ B × A).

Define the concept of electric displacement.

A measure of the electric field in dielectric materials.