Flux through a cylindrical wedge surface

  • Thread starter Thread starter Rombus
  • Start date Start date
  • Tags Tags
    Flux Surface
Click For Summary
SUMMARY

The discussion focuses on calculating the flux of the vector field A=(2x,-z^2,3xy) through a cylindrical wedge surface defined by ρ=2, 0<φ<π/2, and 0 PREREQUISITES

  • Understanding of vector fields and flux calculations
  • Familiarity with divergence theorem applications
  • Knowledge of cylindrical coordinate systems
  • Basic calculus concepts related to surface integrals
NEXT STEPS
  • Study the Divergence Theorem and its applications in vector calculus
  • Learn how to convert Cartesian coordinates to cylindrical coordinates
  • Research surface integrals in cylindrical coordinates
  • Explore examples of flux calculations through various geometric surfaces
USEFUL FOR

Students in advanced calculus or vector calculus courses, educators teaching vector field concepts, and anyone involved in physics or engineering applications related to fluid dynamics and electromagnetism.

Rombus
Messages
16
Reaction score
0

Homework Statement



If vector A=(2x,-z^2,3xy), find the flux of A through a surface defined by ρ<br /> =2, 0&lt;\phi&lt;\pi/2, 0&lt;z&lt;1

Homework Equations



divA?

The Attempt at a Solution


Can I use divergence here?
This is a closed surface correct? Is this is a cylindrical wedge?
Also do I need to convert the vector field to cylindrical form? Or the defined surface to rectangle form?

If I used divergence do I divide my answer by 4 since the wedge is a 1/4 of the cylinder?

Thanks
 
Physics news on Phys.org
Is this question in the wrong forum? Any help would be appreciated.
 

Similar threads

  • · Replies 9 ·
Replies
9
Views
1K
Replies
7
Views
2K
Replies
20
Views
4K
  • · Replies 2 ·
Replies
2
Views
921
  • · Replies 7 ·
Replies
7
Views
2K
  • · Replies 2 ·
Replies
2
Views
4K
  • · Replies 7 ·
Replies
7
Views
2K
  • · Replies 4 ·
Replies
4
Views
3K
  • · Replies 18 ·
Replies
18
Views
2K
  • · Replies 6 ·
Replies
6
Views
4K