Question Detail

PHY 102 Gauss's Law and Electrostatic Fields Objective Question

Question

For a uniformly charged solid sphere of radius R and total charge Q, what is the electric field at r < R?
Options
A E = Q/(4πε₀r²)
B E = Qr/(4πε₀R³)
Correct Answer
C E = 0
D E = Q/(4πε₀R²)
Correct Answer

Option B is the correct answer.

Detailed Explanation

For a uniformly charged non-conducting sphere, enclosed charge is proportional to r³, so E = Qr/(4πε₀R³) (linear in r).

Hint

Linear inside, 1/r² outside.

Question Info