Problem situation: "A sphere of radius R has a total charge Q. The volume charge density (C/m^3) within the sphere is p(r) = C/r^2, where C is a constant to be determined."part A: I solved this successfully.part B: This is where I'm stuck: "Use Gauss's Law to find the Electric Field Strength E inside the sphere, r I tried (Q*r)/(4*pi*e0*R^3) and (p*r)/(3*e0) but Pearson won't accept either answer.

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Asked Feb 3, 2019
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Problem situation: "A sphere of radius R has a total charge Q. The volume charge density (C/m^3) within the sphere is p(r) = C/r^2, where C is a constant to be determined."

part A: I solved this successfully.

part B: This is where I'm stuck: "Use Gauss's Law to find the Electric Field Strength E inside the sphere, r

I tried (Q*r)/(4*pi*e0*R^3) and (p*r)/(3*e0) but Pearson won't accept either answer.

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Expert Answer

Step 1

Consider a small volume dV containing a charge dq. The total charge Q in the sphere is,

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Step 2

Consider a gaussian sphere of radius r < R. Using Gauss law, the electric field E is calculated as,

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Step 3

The total charge enclosed inside...

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Electric Charges and Fields

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