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A solid nonconducting sphere of radius R = 5.82 cm has a nonuniform charge distribution of...

A solid nonconducting sphere of radius R = 5.82 cm has a nonuniform charge distribution of volume charge density ρ = (13.3 pC/m3)r/R, where r is radial distance from the sphere's center.

(a) What is the sphere's total charge?
8.23e-15 C

(b) What is the magnitude E of the electric field at r = 0? (Use any variable or symbol stated above along with the following as necessary: ε0.)
E = 0

   

(c) What is the magnitude E of the electric field at r = R/2.00?
  N/C

(d) What is the magnitude E of the electric field at r = R?
N/C

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