Question Detail
Question
Which of the following statement(s) is/are NOT correct about Gauss's law?
I. The net charge qenc is the algebraic sum of all the enclosed positive and negative charges.
II. The net charge qenc can be positive, negative or zero.
III. The net charge qenc cannot be determined.
IV. The net charge qenc is in the direction of the applied field.
I. The net charge qenc is the algebraic sum of all the enclosed positive and negative charges.
II. The net charge qenc can be positive, negative or zero.
III. The net charge qenc cannot be determined.
IV. The net charge qenc is in the direction of the applied field.
Correct Answer
Option C is the correct answer.
Detailed Explanation
Let's analyze each statement about Gauss's Law:I. The net charge qenc is the algebraic sum of all the enclosed positive and negative charges. This is CORRECT. Gauss's Law relates the total electric flux through a closed surface to the net charge enclosed within that surface, where the net charge is the algebraic sum.II. The net charge qenc can be positive, negative or zero. This is CORRECT. Depending on the enclosed charges, the net charge can take any of these values.III. The net charge qenc cannot be determined. This is NOT CORRECT. If the electric flux through a Gaussian surface is known, the net enclosed charge can be determined using Gauss's Law (Φ = qenc/ε0). Conversely, if the enclosed charges are known, the net charge is determined.IV. The net charge qenc is in the direction of the applied field. This is NOT CORRECT. Charge is a scalar quantity and does not have a direction. The electric field is a vector, and the flux is related to the component of the electric field perpendicular to the surface, but the charge itself is not 'in a direction'.Therefore, statements III and IV are NOT correct.
Hint
Consider the nature of charge (scalar vs. vector) and what Gauss's Law primarily relates (flux to enclosed charge).