- #1
iloveannaw
- 45
- 0
Homework Statement
Given two vector fields:
i)
[tex]A \frac{\vec{r}}{r^{n_{1}}} [/tex]
ii) [tex]Ae_{z} \times \frac{\vec{r}}{r^{n_{2}}} [/tex]
where A is a constant and [tex]n_{1} \neq 3 [/tex] and [tex]n_{2} \neq 2 [/tex]
find [tex]\int \vec{F} dS[/tex] through surface of a sphere of radius R
Homework Equations
[tex]\int \vec{F} r^{2} sin(\vartheta) d\vartheta d\varphi[/tex]
The Attempt at a Solution
heres my attempt at the first field
INTEGRAL A/r^(n_1 - 1) * e_r * r^2 sin(theta) dtheta dfi
[tex] I = 4 \pi A R^{3 - n_{1}} [/tex]
and as for the second
[tex]Ae_{z} \times \frac{\vec{r}}{r^{n_{2}}} [/tex]
becomes
A sin(theta) / r^(n_2 - 1) * e_(fi)
with result that integral
[tex] I = \pi^{2} A R^{3 - n_{2}} [/tex]could someone give me a few pointers, please
thanks
ps sorry but latex isn't doing what it's supposed to
Last edited: