Electric Field of a Single Point-Charge: a Metal Sphere of Radius

question 59

Multiple Choice

Electric field of a single point-charge: A metal sphere of radius 10 cm carries a charge of +2.0 μC uniformly distributed over its surface. What is the magnitude of the electric field due to this sphere at a point 5.0 cm outside the sphere's surface? (k = 1/4πε₀ = 8.99 × 10⁹ N ∙ m²/C²)

• A) 4.0 × 10⁵ N/C
• B) 8.0 × 10⁵ N/C
• C) 4.2 × 10⁶ N/C
• D) 4.0 × 10⁷ N/C
• E) 8.0 × 10⁷ N/C

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