(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Consider the vector field:

F=r/r^{3}

wherer= xi+ yj+ zk

Compute the flux ofFout of a sphere of radius a centred at the origin.

2. Relevant equations

3. The attempt at a solution

Hi everyone,

I have: flux = [tex]\int[/tex]F.dA

I can't use Gauss' Law, because the field will not be defined at the origin.

Instead, I want to useF.n, wherenis the normal vector to the sphere.

Is it correct that the normal vector is the div of the equation of the sphere?

ie.n= div (x^2 + y^2 + z^2 = a^2)

= 2xi+ 2yj+ 2zk

and thenF.n= 2/r

Is this correct so far?

Thanks for any help

**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: Flux in vector field question

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