Question Detail

PHY 102 Gauss's Law and Electrostatic Fields Objective Question

Question

What is the electric field at a distance r from an infinitely long line charge with linear charge density λ?
Options
A E = λ/(2πε₀r)
Correct Answer
B E = λ/(4πε₀r²)
C E = λ/(πε₀r)
D E = λ/(2πr)
Correct Answer

Option A is the correct answer.

Detailed Explanation

Using a cylindrical Gaussian surface, Gauss's law gives E = λ/(2πε₀r).

Hint

Cylindrical symmetry → 1/r dependence.

Question Info