Spheres of charge: 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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The Answer of Spheres of charge: 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

Spheres of Charge: a Nonconducting Spherical Shell of Inner Radius