Calculate Vector Field Flux Through Sphere S of Radius 1

[michael892]

Given is vector field
$$\overrightarrow{C}(\overrightarrow{r})=r$$
calculate flux
$$\Phi =\int_{S} \overrightarrow{C}\cdot d\overrightarrow{A}$$
through sphere S with beginning in [0,0,0] and r=1

 

[tiny-tim]

welcome to pf!

hi michael892! welcome to pf!

show us what you've tried, and where you're stuck, and then we'll know how to help!

 

[michael892]

i know i had to calculate surface integral but i didnt have multivariable calculus yet

 

[tiny-tim]

hih michael892!

(just got up :zzz:)

i know i had to calculate surface integral but i didnt have multivariable calculus yet

you won't need calculus, it's not complicated enough for that

what is r.dn on a sphere of radius r ?

(where n is the outward normal unit vector)