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)

Question

Ingrid Acosta

Physics

12 August, 12:51

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)

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Cristal Norris · Answer 1

Explanation: r₂ = 15 x 10⁻³ m; r = 12 x 10⁻³m; r₁ = 10 x 10⁻³ m

E = Q / 4π∈r²x (r³ - r₁ ³) / (r₂³ - r₁³)

= 15 x 10⁻⁶ x 8.99 x 10⁹x (12³ - 10³) / (15³ - 10³) X 12³

= 23.92 N/C