Solved

Flux & Divergence Theorem

Posted on 2006-11-30
6
297 Views
Last Modified: 2008-03-03
Suppose F is a vector field with div F = 10. Find the flush F out of a cylinder of height a and radius a, centered on z-axis and with base in the xy-plane.

By the divergence theorem:

  /                       /
 | div(F) dV = 10 | dV  = 10 * (volume of cone radius a & height a)
 /W                    /W

First, is this part right?
Second, Is there a way to calculate the flux however without knowing the volume of a cone with radius a and height a?


Thanks.
0
Comment
Question by:BrianGEFF719
  • 4
  • 2
6 Comments
 
LVL 19

Author Comment

by:BrianGEFF719
ID: 18051758
so the answer would be (10 * a^3 *pi)/3
0
 
LVL 84

Expert Comment

by:ozo
ID: 18051767
Do you mean cone or cylinder?
0
 
LVL 84

Expert Comment

by:ozo
ID: 18051774
Can you integrate to find the volume?
0
Is Your Active Directory as Secure as You Think?

More than 75% of all records are compromised because of the loss or theft of a privileged credential. Experts have been exploring Active Directory infrastructure to identify key threats and establish best practices for keeping data safe. Attend this month’s webinar to learn more.

 
LVL 84

Accepted Solution

by:
ozo earned 500 total points
ID: 18051784
You can integrate the area of circular slices d height, but after you do so you will know the volume of a cone with radius a and height a
0
 
LVL 19

Author Comment

by:BrianGEFF719
ID: 18051793
So there is no way around working with the volume of the cylinder?
0
 
LVL 84

Expert Comment

by:ozo
ID: 18051816
or cone, whichever.
you don't need to start knowing the volume, but after you find the flux, you will know the volume by the divergence theorem
0

Featured Post

Is Your Active Directory as Secure as You Think?

More than 75% of all records are compromised because of the loss or theft of a privileged credential. Experts have been exploring Active Directory infrastructure to identify key threats and establish best practices for keeping data safe. Attend this month’s webinar to learn more.

Question has a verified solution.

If you are experiencing a similar issue, please ask a related question

Suggested Solutions

Title # Comments Views Activity
Good problem solving books 4 378
Adjust number proportionately 12 70
Cumulative Frequency 12 33
Logarithms 2 60
Introduction On a scale of 1 to 10, how would you rate our Product? Many of us have answered that question time and time again. But only a few of us have had the pleasure of receiving a stack of the filled out surveys and being asked to do somethi…
Complex Numbers are funny things.  Many people have a basic understanding of them, some a more advanced.  The confusion usually arises when that pesky i (or j for Electrical Engineers) appears and understanding the meaning of a square root of a nega…
Hi friends,  in this video  I'll show you how new windows 10 user can learn the using of windows 10. Thank you.
This is a video describing the growing solar energy use in Utah. This is a topic that greatly interests me and so I decided to produce a video about it.

911 members asked questions and received personalized solutions in the past 7 days.

Join the community of 500,000 technology professionals and ask your questions.

Join & Ask a Question

Need Help in Real-Time?

Connect with top rated Experts

23 Experts available now in Live!

Get 1:1 Help Now