Gauss' law (1/r^3 instead of 1/r^2)

[geronimo8]

Homework Statement

If the electric field of a point charge were proportional to 1/(r^3) instead of 1/(r^2), would Gauss's law still be valid? Explain reasoning.

Homework Equations

The Attempt at a Solution

Considered a spherical Gaussian surface centered on a single point charge.

 

[Dick]

How would the flux through a sphere of radius one centered on the charge compare with the flux through a sphere of radius two?

 

[hisashiburi]

What is true of the entire sphere is also true of any portion of its surface, I believe...