(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

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# Flux in vector field question

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