How to derive Coulomb's Law using F=eE

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SUMMARY

This discussion focuses on deriving Coulomb's Law using the equation F=eE and the integral Φ=∫ E dS. The participants agree that this material is advanced, particularly for high school seniors, and emphasize the necessity of understanding partial differential equations in modern physics. The consensus is that while the concepts are challenging, they are essential for deeper studies in physics, especially for those progressing beyond multivariable calculus.

PREREQUISITES
  • Understanding of electric fields and forces
  • Familiarity with the integral calculus
  • Knowledge of partial differential equations
  • Basic concepts of multivariable calculus
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  • Study the application of partial differential equations in physics
  • Learn about electric field calculations and their implications
  • Explore advanced topics in multivariable calculus
  • Research the derivation and applications of Coulomb's Law
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Students of physics, particularly those preparing for advanced studies, educators teaching electromagnetism, and anyone interested in the mathematical foundations of physical laws.

devious_
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I didn't know where else to post this, so sorry if this is the wrong subforum.

Anyway, I bought myself a physics textbook for self-teaching purposes. I decided to take a look at its Fields chapters, and now I know how to derive Coulomb's Law using F=eE and Φ=∫ E dS. Right, so how advanced is this stuff? I feel it's a little too much for a high school senior. :rolleyes:
 
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You are right, it is too much for your brain.

Refund it.
 
If you are comfortable around partial differential equations, go ahead!
Just for the record:
Partial differential equations are used A LOT in modern physics, it's an indispensable tool.
 
I still haven't finished multivariable calculus, but I will soon. I guess I'll come back to this book in a while.

Thanks
 

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