Solved

Flux & Divergence Theorem

Posted on 2006-11-30
6
299 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
Free Tool: SSL Checker

Scans your site and returns information about your SSL implementation and certificate. Helpful for debugging and validating your SSL configuration.

One of a set of tools we are providing to everyone as a way of saying thank you for being a part of the community.

 
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

Free Tool: ZipGrep

ZipGrep is a utility that can list and search zip (.war, .ear, .jar, etc) archives for text patterns, without the need to extract the archive's contents.

One of a set of tools we're offering as a way to say thank you for being a part of the community.

Question has a verified solution.

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

Suggested Solutions

Title # Comments Views Activity
Relative Frequency Distribution 4 36
Perecntage 4 73
Sampling 3 60
Best Graph 2 58
A Guide to the PMT, FV, IPMT and PPMT Functions In MS Excel we have the PMT, FV, IPMT and PPMT functions, which do a fantastic job for interest rate calculations.  But what if you don't have Excel ? This article is for programmers looking to re…
Have you ever thought of installing a power system that generates solar electricity to power your house? Some may say yes, while others may tell me no. But have you noticed that people around you are now considering installing such systems in their …
Finds all prime numbers in a range requested and places them in a public primes() array. I've demostrated a template size of 30 (2 * 3 * 5) but larger templates can be built such 210  (2 * 3 * 5 * 7) or 2310  (2 * 3 * 5 * 7 * 11). The larger templa…
I've attached the XLSM Excel spreadsheet I used in the video and also text files containing the macros used below. https://filedb.experts-exchange.com/incoming/2017/03_w12/1151775/Permutations.txt https://filedb.experts-exchange.com/incoming/201…

832 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