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**1. The problem statement, all variables and given/known data**

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

**2. Relevant equations**

[tex]\int \vec{F} r^{2} sin(\vartheta) d\vartheta d\varphi[/tex]

**3. 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

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