find the flux of the vector(adsbygoogle = window.adsbygoogle || []).push({});

[tex]\vec{A} = \frac{6ka^2y}{\sqrt{x^2+y^2+a^2}} \hat{e_x}[/tex]

[tex]\frac{3ka^2z}{\sqrt{y^2+z^2+4a^2}}\hat{e_y}[/tex]

[tex]\frac{2ka^2x}{\sqrt{x^2+z^2+9a^2}}\hat{e_z}[/tex]

a) intergrating over the surface of the box, of

0 <= x <= 2a

0 <= y <= 3a

0 <= z <= a

b) divergence thrm over the volume of the box

a)...I setup 6 flux intergrals and sum them for the total flux is the first step..

each of these intergrals is setup like (going directly to the dot product result)...

[tex]\oint \vec{A} \bullet d\vec{a}[/tex]

[tex]\int_0^a \int_0^{3a} A_x dydz [/tex] however when i setup the opposite side of the box...

[tex]\int_0^a \int_0^{3a} -A_x dy dz [/tex] because of the [tex]d\vec{a} = dydz(-\vec{\hat{e_x}})[/tex]

which means they just cancel which i do for all of them...and get 0 flux which is not what it should be nothing loops back on itself, and the divergence gives me something totally diffrent so whats up?

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: What the hell am i doing? lol

**Physics Forums | Science Articles, Homework Help, Discussion**