Question Detail

PHY 102 ELECTROSTATICS Objective Question

Question

A spherical surface encloses charges of 2 µC, 4 µC, -3 µC, and -5 µC. Using Gauss's Law as presented in the document, what is the net electric flux (ψ) out of the surface?
Options
A ψ = (8 µC) / ε₀
B ψ = (-2 µC) / ε₀
Correct Answer
C ψ = (14 µC) / ε₀
D ψ = (2 µC) / ε₀
Correct Answer

Option B is the correct answer.

Detailed Explanation

According to Gauss's Law, ψ = (∑qᵢ) / ε₀. The net charge enclosed is (2 + 4 - 3 - 5) µC = -2 µC. Therefore, ψ = (-2 µC) / ε₀. The document provides a similar example calculation (page 13, 'Example' section).

Hint

Sum all the enclosed charges to find the net charge before applying Gauss's Law.

Question Info