(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A spherical charge distribution is given by

[tex]\rho[/tex] = [tex]\rho_0[/tex][tex]\left([/tex]1-(r^2/a^2)) , (r<= a)

[tex]\rho[/tex] = 0, (r> a)

a) calculate the total charge Q

b) find the electric field intensity E and the potential V outside the charge distribution

c) find E and V inside

d) show that the maximum value of E is at (r/a) = 0.745

e) the above charge distribution applies roughly to light nuclei. Draw graphs showing [tex]\rho[/tex], E, and V as functions of r/a for calcium (atomic number 20), assuming that [tex]\rho_0[/tex][tex] = 5.0 x 10^25 C/m^2 and a = 4.5 femtometers

2. Relevant equations

[\tex]\oint E.da = Q/\epsilon_0[\tex]

3. The attempt at a solution

\ Guass'a law and other general equations for E and V were used. I do not think I am close to the correct answer.

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# Homework Help: Electric field, potential

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