A region in space contains a total positive charge Q that is distributed spherically such that the volume charge density rho (r) is given by:(adsbygoogle = window.adsbygoogle || []).push({});

rho (r)=3 * alpha * r /(2R) for r ≤ R / 2

rho (r)= alpha * [1-(r/R)^(2) ] for (R/2) ≤ r ≤ R

rho (r)=0 for r ≥ R

Here alpha is a positive constant having units of C/m^3

What fraction of the total charge is contained within the region (R/2) ≤ r ≤ R?

If anyone can help me with this problem it would be greatly appreciated. I am getting lost in all the integration with everything. Thanks

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# Homework Help: Gauss's Law and positive charge

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