Gaussian surface should not pass through any discrete charge because:

Options

A. Electric field remains constant
B. Electric field becomes zero
C. Electric field due to system of discrete charge is not will defined at location at any charge
D. Electric field is continuous charge distri bution

Explanation

To answer the question of why a Gaussian surface should not pass through any discrete charge, we can break down the explanation into several steps:

### Step-by-Step Solution:

1. **Understanding Gaussian Surface**:
A Gaussian surface is an imaginary closed surface used in Gauss's law to calculate electric fields. It is essential to choose the surface appropriately to simplify calculations.

2. **Gauss's Law**:
Gauss's law states that the electric flux through a closed surface is proportional to the charge enclosed within that surface. Mathematically, it is given by:
\[ \Phi_E = \frac{Q_{\text{enc}}}{\varepsilon_0} \]
where \(\Phi_E\) is the electric flux, \(Q_{\text{enc}}\) is the total charge enclosed, and \(\varepsilon_0\) is the permittivity of free space.

3. **Effect of Discrete Charges**:
When a Gaussian surface passes through a discrete charge, it does not enclose the entire charge. This means that the total charge \(Q_{\text{enc}}\) within the Gaussian surface is not well-defined.

4. **Electric Field Calculation**:
If the Gaussian surface intersects a charge, the electric field at the surface is not uniform. The electric field due to a point charge varies with distance, and thus, the flux calculation becomes complicated and inaccurate.

5. **Flux Calculation Issues**:
Since the electric field is not constant across the Gaussian surface when it intersects a charge, the total electric flux cannot be accurately calculated. This leads to difficulties in applying Gauss's law effectively.

6. **Conclusion**:
Therefore, to ensure that the electric field can be treated uniformly and that the total flux can be accurately calculated, a Gaussian surface should not pass through any discrete charge.

### Final Answer:
A Gaussian surface should not pass through any discrete charge because it complicates the calculation of electric flux due to non-uniform electric fields and makes it difficult to apply Gauss's law effectively.