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The problem states:

From the field with a radial cylindrical component only given by the following equations:

E(r)= (ρ

E(r)= (ρ

obtain the corresponding charge distribution in free space in which the equation is:

ρ(r) = ρ

So I know that dE(r)/dr = p(r)/ε

After differentiating the first E(r) equation I come to (3/4)*ρ

It would be correct if the 3/4 weren't there but I'm not sure where I'm going wrong. Any help appreciated.

From the field with a radial cylindrical component only given by the following equations:

E(r)= (ρ

_{0}*r^{3})/(4 * ε_{0}*a^{2}) for r<=aE(r)= (ρ

_{0}*a^{2})/(4*ε_{0}*r^{2}) for r > aobtain the corresponding charge distribution in free space in which the equation is:

ρ(r) = ρ

_{0}*(r^{2}/a^{2}) (0<=r<=a)So I know that dE(r)/dr = p(r)/ε

_{0}After differentiating the first E(r) equation I come to (3/4)*ρ

_{0}*r^{2}/a^{2}.It would be correct if the 3/4 weren't there but I'm not sure where I'm going wrong. Any help appreciated.

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