sphere of radius R has total charge Q. The volume charge density (C/m 3 ) within the

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sphere of radius R has total charge Q. The volume charge density (C/m3) within the sphere is

p= Po 1

This charge density decreases linearly from ρ0 at the center to zero at the edge of the sphere.
a. Show that ρ0 = 3Q/πR3.
b. Show that the electric field inside the sphere points radially outward with magnitude

Γ E = Qr 4περR3 4 - 3 R

c. Show that your result of part b has the expected value at r = R.

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