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Pyroadept
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Homework Statement
Consider the vector field:
F = r/r3
where r = xi + yj + zk
Compute the flux of F out of a sphere of radius a centred at the origin.
Homework Equations
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 use F.n, where n is 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)
= 2x i + 2y j + 2z k
and then F.n = 2/r
Is this correct so far?
Thanks for any help