Answer to Question #2926 in Electricity and Magnetism for asim omar

Question #2926
Find the divergence of the vector A=3x ux + xy[sup]2[/sup] uy - 2xy e[sup]-z[/sup] uz
1
Expert's answer
2011-05-23T05:34:10-0400
<img src="/cgi-bin/mimetex.cgi?A=%203x%20ux%20+%20xy%5E2%20uy%20-%202xy%20e%5E%7B-z%7D%20uz%20=3ux%5E2%20+%20uxy%5E3%20-%202uxyze%5E%7B-z%7D%20%5C%5C%0A%5Cfrac%7B%5Cpartial%7BA%7D%7D%7B%5Cpartial%7Bx%7D%7D%20=%206ux%20+%20uy%5E3%20-2uyze%5E%7B-z%7D%20%5C%5C%0A%5Cfrac%7B%5Cpartial%7BA%7D%7D%7B%5Cpartial%7By%7D%7D%20=%203uxy%5E2%20-2uxze%5E%7B-z%7D%20%5C%5C%0A%5Cfrac%7B%5Cpartial%7BA%7D%7D%7B%5Cpartial%7Bz%7D%7D%20=%20-2uxy%28e%5E%7B-z%7D%20-ze%5E%7B-z%7D%29%20%5C%5C%0Adiv%20A%20=%20%5Cfrac%7B%5Cpartial%7BA%7D%7D%7B%5Cpartial%7Bx%7D%7D+%5Cfrac%7B%5Cpartial%7BA%7D%7D%7B%5Cpartial%7By%7D%7D+%20%5Cfrac%7B%5Cpartial%7BA%7D%7D%7B%5Cpartial%7Bz%7D%7D%20%5C%5C" title="A= 3x ux + xy^2 uy - 2xy e^{-z} uz =3ux^2 + uxy^3 - 2uxyze^{-z} \\
\frac{\partial{A}}{\partial{x}} = 6ux + uy^3 -2uyze^{-z} \\
\frac{\partial{A}}{\partial{y}} = 3uxy^2 -2uxze^{-z} \\
\frac{\partial{A}}{\partial{z}} = -2uxy(e^{-z} -ze^{-z}) \\
div A = \frac{\partial{A}}{\partial{x}}+\frac{\partial{A}}{\partial{y}}+ \frac{\partial{A}}{\partial{z}} ">

Need a fast expert's response?

Submit order

and get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!

Comments

No comments. Be the first!

Leave a comment

LATEST TUTORIALS
New on Blog
APPROVED BY CLIENTS