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A sphere with radius R has a charge density given by ρ = cr3. Use Gauss's...

A sphere with radius R has a charge density given by

ρ = cr3.

Use Gauss's law to find an expression for the magnitude of the electric field at a distance r from the center of the sphere, where we have the following. (Use the following as necessary: c, r, R, and ε0. Assume c is positive.)

(a)    

r < R


E =

  

(b)    

r > R


E =

Solutions

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