Compute the circulation of F along C

  • Context: MHB 
  • Thread starter Thread starter Uniman
  • Start date Start date
  • Tags Tags
    Circulation
Click For Summary

Discussion Overview

The discussion centers around computing the circulation of a vector field along a specified curve. Participants are exploring the mathematical formulation and integration involved in the problem, which falls under multivariable calculus.

Discussion Character

  • Exploratory
  • Mathematical reasoning
  • Homework-related

Main Points Raised

  • One participant presents a calculation of circulation along a curve defined by specific parametric equations and vector field components, seeking validation of their approach.
  • Another participant suggests using LaTeX for clearer presentation of mathematical expressions and indicates that the question may be better suited for a different sub-forum.
  • A participant expresses uncertainty about the use of LaTeX and the appropriateness of the thread's location within the forum.
  • Another participant provides a brief explanation of LaTeX and offers to seek assistance from moderators regarding the thread's placement.

Areas of Agreement / Disagreement

Participants generally agree on the need for clearer mathematical communication through LaTeX, but there is no consensus on the correctness of the initial calculations or the appropriate forum for the discussion.

Contextual Notes

There are unresolved questions regarding the accuracy of the calculations presented and the proper categorization of the thread within the forum structure.

Who May Find This Useful

Readers interested in multivariable calculus, vector fields, and mathematical communication techniques may find this discussion relevant.

Uniman
Messages
11
Reaction score
0
View attachment 417
Hi,
This is my first post. So if I made any mistakes that is the way I asked the questions, kindly let me know.

The work done so far

Circulation:

C {0,0,1} to {1, pi,1}

C eq: {y=pi*x, z=1}

dr={dx, pi*dx, 0}
F={cos(y/z), -x/z*sin(y/z),xy/z^2*sin(y/z)}

F.dr = -dx [dot product and simplified]

Integral[F.dr]{0 t01} = -1

Am I in right track?
 

Attachments

  • Screen Shot 2012-10-19 at 1.18.02 PM.png
    Screen Shot 2012-10-19 at 1.18.02 PM.png
    11.6 KB · Views: 102
Physics news on Phys.org
Welcome to MHB, Uniman! For future reference and searches later, I believe you should type out the question using LaTeX. It will make it easier for all of us to read and discuss your approach. :D

Last but not least, this looks like a multivariable calculus question. Perhaps it belongs in the Calculus sub-forum. (Nod)

Adjust your http://www.mathhelpboards.com/f16/compute-downwards-flux-f-2170/ accordingly! ;)
 
Latex? Is it a software available online...Sorry I post these two threads in the wrong section. Am I able to move this thread...
Waiting for the experts to check my answers. By the way this forum looks great...
 
Hi Uniman,

Welcome to MHB! :)

You can read up on Latex here but in short it's a way to output nice looking equations which are difficult to write otherwise.

For example \frac{x^2+3x-2}{\sqrt{2x^2-11}} outputs [math]\frac{x^2+3x-2}{\sqrt{2x^2-11}}[/math]. We have a forum dedicated to Latex which you can find http://www.mathhelpboards.com/f26/.

I am not sure where this thread belongs so I'll ask one of the moderators to move it to a new place if needed. Sorry I can't help you myself but rest assured that you should be getting some help soon.

Jameson
 

Similar threads

  • · Replies 8 ·
Replies
8
Views
1K
  • · Replies 4 ·
Replies
4
Views
4K
  • · Replies 3 ·
Replies
3
Views
3K
  • · Replies 3 ·
Replies
3
Views
3K
  • · Replies 1 ·
Replies
1
Views
3K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 1 ·
Replies
1
Views
3K
  • · Replies 29 ·
Replies
29
Views
5K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 1 ·
Replies
1
Views
3K