What is the electric field inside a sphere of radius R when the charge density is given by:(adsbygoogle = window.adsbygoogle || []).push({});

[tex]\rho=\frac{A}{r}[/tex]

Where A is a constant, and r is the radius at where the charge density is to be evaluated. By Gauss' law I have calculated the field to be equal to:

[tex]E=\frac{A}{2\epsilon_0}[/tex]

But that seems quite odd as the field is then independent of the radius. But could this be explained by the fact that the charge density is inversely proportional to the radius?

Thanks!

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# Electric field inside a sphere of charge density A/r

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