A Nonconducting Spherical Shell of Inner Radius R₁ and Outer

question 19

Essay

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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