A metal sphere of radius 10 cm carries a charge of +2.0 μC. What is the magnitude of the electric field 5.0 cm from the sphere's surface?

Question

Quizplus · Accepted Answer

The electric field outside a charged sphere is given by E = kQ/r², where k is Coulomb's constant (8.99 × 10⁹ N·m²/C²), Q is the charge, and r is the distance from the center. Here, r = 15 cm = 0.15 m, so E = (8.99 × 10⁹)(2.0 × 10⁻⁶)/(0.15)² = 8.0 × 10⁵ N/C.

A Metal Sphere of Radius 10 Cm Carries a Charge