What are the boundaries of tetha?

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Homework Help Overview

The original poster is exploring the circulation of a vector field F through a curve L, initially attempting to apply Gauss' law. They mention switching to polar coordinates while questioning the treatment of the z boundaries and whether a transition to spherical coordinates is necessary.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss the appropriateness of using cylindrical coordinates versus spherical coordinates and question the implications of the original poster's approach regarding the boundaries of z.

Discussion Status

Some participants indicate agreement with the use of cylindrical coordinates, while others seek clarification on the application of Gauss' law and the nature of the vector field F. Multiple interpretations of the problem are being explored.

Contextual Notes

The discussion includes uncertainty about the definitions and assumptions related to the vector field F and its classification as conservative. There is also a mention of potential misunderstandings in the terminology used.

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Homework Statement



I need to find the circulation of F through L.
I tried to use Gauss' law to find it, so I first found the divergence and so on.
Anyway, somewhere in the solution I switch to polar coordinate system but I didn't changed z, what means I took the boundaries of z from r to 2-r^2 as you can see in the attach.
My question is, can I do that or do I need to change to spherical coordinate system? and if so, what are the boundaries of tetha?

Homework Equations





The Attempt at a Solution

 

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I got zero as well. I think's fine to do in cylindrical coordinates.
 


Defennder said:
I got zero as well. I think's fine to do in cylindrical coordinates.

Ok, thanks.
 


Um, what do you mean by Gauss law? Do you have any reason to believe that F denotes a conservative electric field?
 


Defennder said:
Um, what do you mean by Gauss law? Do you have any reason to believe that F denotes a conservative electric field?

I think u got mistaken in the trades again :smile:
 


Not this time :) Your first post above said something about Gauss law.
 

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