A nonconducting spherical shell of inner radius R₁ and outer radius R₂ contains a uniform volume charge density ρ throughout the shell. Use Gauss's law to derive an equation for the magnitude of the electric field at the following radial distances r from the center of the sphere. Your answers should be in terms of ρ, R₁, R₂, r, ε₀ , and π.
(a) r < R1
(b) R1 < r < R2
(c) r > R2
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