Maxwell's Equations: Validity of Gauss' Theorem

  • Thread starter Goldbeetle
  • Start date
In summary, there is a question about the validity of Maxwell's equation stating that the divergence of the electrical field is proportional to the charge density. The individual remembers it being valid in the static field case, but is unsure if it applies in the general case. The response confirms that the equation is always valid, including in its integral form.
  • #1
Goldbeetle
210
1
Dear all,
I have a doubt on the validity of one of the Maxwell's equations, the one that states that the divergence of the electrical field is proportional to the charge density. As far as I can remember it should be not only valid in the static field case but in the general. I do not see a variating electrical-magnetical field would violate this law.

Thanks,
Godlbeetle
 
Physics news on Phys.org
  • #2
Is there a question in there? It looks like a statement: "I don't believe Maxwell's Equations are correct."
 
  • #3
Yes, thanks, there is a question. Is that equation valid only in the static case?
 
  • #4
No, it's always valid.
 
  • #5
The same if the equation is in its integral form?
 
  • #6
Goldbeetle said:
The same if the equation is in its integral form?

The vector operator and integral forms are equivalent, so yes.
 

1. What are Maxwell's Equations?

Maxwell's Equations are a set of four fundamental equations that describe the behavior of electric and magnetic fields. They were developed by physicist James Clerk Maxwell in the 19th century and are considered a cornerstone of classical electromagnetism.

2. What is the validity of Gauss' Theorem in relation to Maxwell's Equations?

Gauss' Theorem, also known as Gauss' Law, is one of the four equations in Maxwell's Equations. It states that the total electric flux through a closed surface is equal to the charge enclosed by that surface. This theorem is valid and consistent with Maxwell's Equations, and is used to explain how electric charges create electric fields.

3. How do Maxwell's Equations support the concept of electromagnetism?

Maxwell's Equations unify the previously separate concepts of electricity and magnetism, showing that they are intimately connected and can be described by the same set of equations. This supports the concept of electromagnetism, which states that electric and magnetic fields are two aspects of the same phenomenon.

4. How do Maxwell's Equations impact our understanding of light and electromagnetic waves?

Maxwell's Equations predict the existence of electromagnetic waves, which are a combination of electric and magnetic fields that propagate through space. This discovery revolutionized our understanding of light, showing that it is an electromagnetic wave and allowing for advancements in technology such as radio, television, and wireless communication.

5. Are Maxwell's Equations still relevant in modern science?

Yes, Maxwell's Equations are still considered a fundamental part of modern science. They have been tested and verified countless times through experiments and are used in various fields such as engineering, physics, and telecommunications. They also continue to be a basis for further developments in our understanding of the universe.

Similar threads

B Determining whether the non-integral form of Gauss' law applies
    • Classical Physics
Replies
1
Views
676
A Were there any valid classical unified field theories ?
    • Classical Physics
Replies
4
Views
1K
I Understanding Gauss's Law and Special Cases in Maxwell's Equations
    • Classical Physics
Replies
7
Views
1K
I Simple case of Gauss' law for gravity
    • Classical Physics
Replies
10
Views
1K
I Why are Maxwell's equations and the Lorentz force "so different"
    • Electromagnetism
Replies
7
Views
1K
I Maxwell's equations and the momentum of charge
    • Other Physics Topics
Replies
12
Views
1K
I Gauss' theorem and inverse square law
    • Classical Physics
Replies
2
Views
4K
I Equivalence principle and the Uniqueness theorem
    • Classical Physics
Replies
4
Views
753
I Where did I make a mistake in simplifications of equations of EM field?
    • Classical Physics
Replies
1
Views
568
I Thought I Understood Gauss' Law (Sheets)
    • Introductory Physics Homework Help
Replies
26
Views
557

Hot Threads

Recent Insights

Back
Top