A sphere of radius 8.0 cm carries a uniform volume charge density ρ = 500 nC/m³. What is the electric field at r = 20 cm?

Question

Quizplus · Accepted Answer

The electric field at a distance r from the center of a sphere of radius R and uniform charge density ρ is given by:
E = (1/4πε₀) * ρ * (r/3ε₀)
where ε₀ is the permittivity of free space.
Plugging in the given values, we get:
E = (1/4πε₀) * (500 nC/m³) * (20 cm/3ε₀)
Evaluating this expression gives us E = 0.24 kN/C. Therefore, the correct answer is A.

A Sphere of Radius 8