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

Question

Quizplus · Accepted Answer

Due to the principle of symmetry, the electric field at a point outside the sphere will be like that of a point charge at the center of the sphere.

The electric field at a distance of 1.0 cm from the center of the sphere is given by:

$E=k\frac{Q}{r^2}$

where Q is the point charge in the center of the sphere, r is the distance from the center of the sphere, and k is the Coulomb constant.

Plugging in the values, we get:

$E=k\frac{5.0	imes10^{-9}}{(0.01)^2} = 3.6	imes10^{15}$ N/C

Therefore, the correct answer is C.

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