A Spherical, Non-Conducting Shell of Inner Radius R₁ = 10

A spherical, non-conducting shell of inner radius r₁ = 10 cm and outer radius r₂ = 15 cm carries a total charge Q = 15 μC distributed uniformly throughout the volume of the shell. What is the magnitude of the electric field at a distance r = 12 cm from the center of the shell? (k = 1/4πε0 = 8.99 × 10⁹ N ∙ m²/C²)

A) 5.75 × 10³ N/C
B) zero
C) 2.87 × 10⁶ N/C
D) 5.75 × 10⁶ N/C
E) 2.87 × 10³ N/C

Correct Answer:

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