Reading Smythe's book on static and dynamic electricity

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SUMMARY

The forum discussion centers on the challenges faced by readers of Smythe's "Static and Dynamic Electricity" (1st edition, 1939) in deriving specific formulas, particularly Gauss's electric flux theorem. Users suggest alternative resources for clearer explanations, including Griffiths' textbook and Schwartz's "Principles of Electrodynamics," which provide more accessible derivations. Additionally, Franklin's "Classical Electromagnetism" is recommended as a modern alternative that maintains a similar level of complexity to Smythe's work while offering improved clarity.

PREREQUISITES
  • Understanding of Gauss's electric flux theorem
  • Familiarity with basic electromagnetic theory
  • Knowledge of trigonometric identities relevant to physics
  • Experience with classical electrodynamics textbooks
NEXT STEPS
  • Read Griffiths' "Introduction to Electrodynamics" for clearer derivations
  • Explore Schwartz's "Principles of Electrodynamics" for a physical approach to electromagnetism
  • Investigate Franklin's "Classical Electromagnetism" for a modern perspective
  • Review trigonometric identities and their applications in electromagnetism
USEFUL FOR

Students and educators in physics, particularly those studying electromagnetism, as well as anyone seeking to deepen their understanding of classical electrodynamics through recommended literature.

Nakis
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reading Smythe's book on "static and dynamic electricity"

Hi,

I am reading Smythe's book on "static and dynamic electricity" (1st edition, 1939) and I'm having trouble deriving some of the formulas. I wonder if someone already corrected that. For instance,

1.10 - Gauss's electric flux theorem. The expression for the normal flux component has a superfluous K : dN = E_n \cdot dS
1.101 - I can't seem to obtain the expression for N, unless if sin^2(\alpha) = 2 \cdot (1 - cos(\alpha)) (actually : 1- cos(2\alpha) = 2 \cdot sin^2(\alpha)).

thanks,

Nakis
 
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I suggest you try a newer high level EM book with clearer derivations than Smythe.
No trig is needed to derive Gauss's law.
 
Check your library for Griffiths.
 
I personally like the Schwartz Principles of Electrodynamics. His arguments are very physical, and he more or less teaches you the basics of special relativity at a very natural point in the book; the middle, not as an afterthought.
 
Griffiths is lower level than Smythe. Schwartz has a great book, but starting with SR doesn't help electrostatics. There is a new book "Classical Electromagnetism"
by Franklin (Addison-Wesley) that is close to Smythe's (or Jackson's) level with less complication.
 

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