Question Detail

PHY 102 Electrostatics: Electric Charge and Coulomb's Law Objective Question

Question

Inside a nonconducting solid sphere of radius r₀ with uniform charge distribution, how does the electric field magnitude change as you move from the center outward (r < r₀)?
Options
A It remains zero.
B It decreases as 1/r².
C It increases linearly with distance (r).
Correct Answer
D It increases as r².
Correct Answer

Option C is the correct answer.

Detailed Explanation

Inside a uniform solid sphere of charge, the enclosed charge increases with r³, but the surface area increases with r², resulting in a field that is proportional to r.

Hint

Field is E = (Qr) / (4πε₀r₀³).

Question Info