Problem: An insulating sphere of radius a, centered at the origin, has a uniform volume charge density.Find the electric field E(r) inside the sphere (for r< a) in terms of the position vector r .Express your answer in terms of r  and ρ

FREE Expert Solution

Gauss' Law:

ϕNET=Qencε0

Also, 

ϕ=EAcosθ

Area, A:

A=4πr2

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Problem Details

An insulating sphere of radius a, centered at the origin, has a uniform volume charge density.

Find the electric field E(r) inside the sphere (for r< a) in terms of the position vector r .

Express your answer in terms of r  and ρ

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