Results 1 to 3 of 3

Math Help - computing flux

  1. #1
    Member
    Joined
    Jun 2007
    Posts
    117

    computing flux

    Compute the flux of the vector field, \vec{F}, through the surface, S.
    \vec{F} = (e^{xy} + 11z + 4)\vec{i} + (e^{xy} + 4z + 11)\vec{j} + (11z + e^{xy})\vec{k} and S is the square of side 2 with one vertex at the origin, one edge along the positive y-axis, one edge in the xz-plane with  x \geq 0, z \geq 0 , and the normal is  \vec{n}= \vec{i} -\vec{k} .

    Can someone help me...
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Newbie
    Joined
    Apr 2009
    Posts
    2
    We can parameterize the surface S as
    \vec{S}(u,v)=u\,(\hat{k}-\hat{\imath}) + v\,\hat{\jmath}
    for u,v\in [0,2] which can then be plugged into the formula for the surface integral.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Member
    Joined
    Jun 2007
    Posts
    117
    Quote Originally Posted by foxjwill View Post
    We can parameterize the surface S as
    \vec{S}(u,v)=u\,(\hat{k}-\hat{\imath}) + v\,\hat{\jmath}
    for u,v\in [0,2] which can then be plugged into the formula for the surface integral.
    I don't understand why you use u and v...
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. volume flux, mass flux and volume flo
    Posted in the Advanced Applied Math Forum
    Replies: 2
    Last Post: June 7th 2011, 07:30 PM
  2. flux in 3d
    Posted in the Calculus Forum
    Replies: 1
    Last Post: May 25th 2009, 12:36 AM
  3. computing flux through a surface
    Posted in the Calculus Forum
    Replies: 4
    Last Post: April 21st 2009, 05:18 PM
  4. Flux help please!
    Posted in the Calculus Forum
    Replies: 1
    Last Post: November 20th 2007, 08:38 PM
  5. Magnetic Flux & Magnetic Flux Density
    Posted in the Calculus Forum
    Replies: 2
    Last Post: December 2nd 2006, 06:20 PM

Search Tags


/mathhelpforum @mathhelpforum