: Detailed breakdowns of Maxwell’s Equations and electromagnetic waves.

: Spanning topics from vector calculus and electrostatics to Maxwell’s equations and radiation.

The for Gerald L. Pollack and Daniel R. Stump’s textbook, Electromagnetism

The shows the critical step: transforming the Coulomb field via the appropriate boost matrix and then simplifying using ( \gamma ) and ( \beta ). It also points out the common error of forgetting that the fields transform as components of a rank-2 tensor, not as vectors.

Later chapters introduce the field tensor ( F^\mu\nu ). A standard problem: "A point charge moves at constant velocity v. Find the electric and magnetic fields in the lab frame using Lorentz transformations of the fields from the rest frame."

Don't just copy the math. Read the annotations to understand the physical reasoning behind choosing a specific Gaussian surface or boundary condition. Conclusion

Problem 3.12 (Hypothetical): Find the potential inside a grounded conducting sphere of radius R if a point charge q is placed at a distance a > R from the center.