If the size of the gaussian surface increases, the flux through the body:

Options

A. decreases
B. Increases
C. remains the same
D. fluctuates

Explanation

To solve the question about the relationship between the size of the Gaussian surface and the electric flux through the body, we can follow these steps:

### Step 1: Understand Gauss's Law
Gauss's Law states that the electric flux (Φ) through a closed surface (Gaussian surface) is directly proportional to the total charge (Q) enclosed within that surface. Mathematically, it is expressed as:
\[ \Phi = \frac{Q}{\epsilon_0} \]
where \( \epsilon_0 \) is the permittivity of free space.

### Step 2: Analyze the Effect of Increasing the Gaussian Surface Size
When we increase the size of the Gaussian surface, we need to consider whether it encloses more charge or not. If the charge enclosed remains the same, then according to Gauss's Law, the electric flux through the surface will also remain the same.

### Step 3: Conclusion
Therefore, if the size of the Gaussian surface increases but the total charge enclosed does not change, the electric flux through the body remains constant.

### Final Answer
The flux through the body remains the same regardless of the size of the Gaussian surface.

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