A 50-NC Point Charge Is Embedded at the Center of a a Nonconducting

Multiple Choice

A 5.0-nC point charge is embedded at the center of a nonconducting sphere (radius = 2.0 cm) which has a charge of −8.0 nC distributed uniformly throughout its volume. What is the magnitude of the electric field at a point that is 1.0 cm from the center of the sphere?

A) 1.8 × 10⁵ N/C
B) 9.0 × 10⁴ N/C
C) 3.6 × 10⁵ N/C
D) 2.7 × 10⁵ N/C
E) 7.2 × 10⁵ N/C