What do curl/Dovergence of various fields represent?

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Discussion Overview

The discussion revolves around the significance of the curl and divergence of gravitational, electric, and magnetic fields. Participants explore theoretical implications and relationships between these mathematical concepts and physical fields, with a focus on their meanings in the context of physics and mathematics.

Discussion Character

  • Exploratory
  • Conceptual clarification
  • Homework-related

Main Points Raised

  • One participant inquires about the significance of the divergence and curl of gravitational, electric, and magnetic fields, suggesting a theoretical interest.
  • Another participant provides a loose definition of divergence as a measure of sources and sinks in a field, and curl as a measure of rotation.
  • A participant clarifies that their question is not homework-related but stems from studying for finals, expressing confusion about the correlation between conservative fields and the mathematical concepts of curl and divergence.
  • Some participants express frustration over the lack of assistance with similar questions encountered in their studies.

Areas of Agreement / Disagreement

There is no consensus on the significance of the curl and divergence in relation to the fields mentioned. Some participants view it as a theoretical inquiry, while others perceive it as a homework question. The discussion remains unresolved regarding the exact correlations and implications.

Contextual Notes

Participants mention the conservative nature of gravitational and electric fields, but the discussion does not clarify the assumptions or definitions involved in these concepts.

swraman
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jsut wondering, is there any realistic OR theoretical significance to:

[tex]Div \stackrel{\rightarrow}{G}[/tex]
[tex]Div \stackrel{\rightarrow}{E}[/tex]
[tex]Div \stackrel{\rightarrow}{B}[/tex]
[tex]Curl \stackrel{\rightarrow}{G}[/tex]
[tex]Curl \stackrel{\rightarrow}{E}[/tex]
[tex]Curl \stackrel{\rightarrow}{B}[/tex]

where [tex]\stackrel{\rightarrow}{G}[/tex], [tex]\stackrel{\rightarrow}{E}[/tex] and [tex]\stackrel{\rightarrow}{B}[/tex] are a gravitational, electric, and magnetic field respectivley.

Thanks
 
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Looks like a homework question. What do you think the answers are? You need to make an attempt.
 
Loosely speaking, 'divergence' is a measure of the sources and sinks to a field. 'Curl' is a measure of the rotation.
 
No, it is not a homework question. I am just studying for finals and I have calculus and physics left...so a lot of these kind of questions have been going through my head. We talked a little about it in math, something to do with the field being conservative (havent gotten that far in my studying yet).
And from physics gravitational and electrical fields are conservative...but I just don't know what the exact correlations between the 2 are and was wondering if there was one.
 
i wish someone would've helped me with this, it showed up on the final I was studying for. =\
 
swraman said:
i wish someone would've helped me with this, it showed up on the final I was studying for. =\

Homework/coursework style questions should be placed in the homework forums.

Next time post your question in the correct forum, and you are more likely to receive help. However, you must make an effort: we don't just answer such questions for students.
 

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