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.
Correct Answer
Option C is the correct answer.
Detailed Explanation
Let's analyze each statement:I. The net charge qenc is the algebraic sum of all the enclosed positive and negative charges. This statement is correct. Gauss's law deals with the total charge enclosed, which includes summing positive and negative charges.II. The net charge qenc can be positive, negative or zero. This statement 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 statement is incorrect. Gauss's law (Φ = qenc / ε₀) is used precisely to determine the net enclosed charge if the electric flux (Φ) through a closed surface is known.IV. The net charge qenc is in the direction of the applied field. This statement is incorrect. Charge (qenc) is a scalar quantity, it does not have a direction. Electric field is a vector, but charge itself is not 'in the direction' of a field.Since the question asks for statements that are not correct, options III and IV are the incorrect ones.
Hint
Remember the scalar nature of charge and what Gauss's Law allows us to calculate.