Electricity and Magnetism question.

AI Thread Summary
A closed surface that encloses no charge will not have electric field lines crossing it, as per Gauss's law. Coulomb's law can be applied to determine electric field strength only under static conditions, where charges are not in motion. It is essential to understand that Coulomb's law is limited to electrostatics and does not apply to mobile charges. The discussion emphasizes the importance of recognizing the axiomatic foundations of electrostatics, including the continuity of charge and the framework of Euclidean space and Newtonian mechanics. Understanding these principles is crucial for mastering electricity and magnetism.
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Hello I have these two questions on electricity and magnetism which I don't understand very well these are:

(Q1) If a closed surface encloses no charge, and electric field lines cross the surface.

(Q2) Under what conditions can coloumb's law be used to find the electric field strength.


Thanks a lot
 
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Coulombs law completes Electrostatics. If you understand what it implies mathematically, you're done with statics. But it does not hold for mobile charges. Under static conditions you can use it to find E.
 
A single function axiomatic system? Two, as charges are static. Other than what should be considered as implicit, such as Euclidian space + time, and Newtonian mechanics, I can think of only one other axiom; that is continuity of charge.
 
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