Question

doubt in solution of divergence problem..pls help

Answer 1

I'm on it!

Answer 2

Evaluate the integrals in simplest way possible ∬P (dot)n ds over upper half of the sphere r = 1 if P = curl (jx-kz)

but if divergence theorem is used
del cross del dot y = 0
y=(jx-kz)

Answer 3

Curl (0,x,-z) = (0,0,1)

n ds = (x/z, y/z, 1) dA

∬ dA
where A is the disk x^2 + y^2 <= 1
= pi

but its a sphere, how can i write x^2 + y^2 <= 1

Answer 4

WoW This looks complicated. What grade math is this?

Answer 5

how n ds is (x/z, y/z, 1) dA

Answer 6

this is our part of masters degree..not major in maths..

Answer 7

Oh So college stuff, right?

Answer 8

yup

Answer 9

I thought this one was gonna be simpler, I'm about to go to bed, sorry!

Answer 10

Where are you especially hung up on it though?

Answer 11

iam after this prob for days.. may be i dont undestand some simple things..it would be a great help if someone can help me on this...

Answer 12

on n. dS and that spheres equation.. how can i just convert it to 2d

Answer 13

Isag i would help you if i could but i have no idea what to do....Sorry!!!! I wish i could help. Hopefully Kainui can...

Answer 14

Best Of Luck!!!

Answer 15

Thank you fantalux....

Answer 16

:) u r so kind....:)

Answer 17

Maybe this helps:

http://tutorial.math.lamar.edu/Classes/CalcIII/DivergenceTheorem.aspx

I gotta go, sorry.

Answer 18

:D Thanks.

Answer 19

Thanks kainui..by divergance theorem its zero, but actual answer is pi

Answer 20

Hope these help...took me a while to even find what your studying, bands kept popping up when i typed it in google...lol
http://mathinsight.org/divergence_curl_examples
http://tutorial.math.lamar.edu/Classes/CalcII/ConvergenceOfSeries.aspx
http://tutorial.math.lamar.edu/Classes/CalcIII/CurlDivergence.aspx

Answer 21

Thank you @Fantalux .. i will have a look at it, hopefully i may b able to figure it out.......:)