If the total charge enclosed by a surface is zero, does it imply that the electric field everywhere on the surface is zero ? Conversely, if the electric field everywhere on a surface is zero, does it imply that net charge inside is zero.

Explanation

To solve the question, we will analyze the two parts separately:

### Part 1: If the total charge enclosed by a surface is zero, does it imply that the electric field everywhere on the surface is zero?

1. **Understanding Gauss's Law**: According to Gauss's Law, the electric flux (Φ) through a closed surface is proportional to the charge (Q) enclosed within that surface. Mathematically, it is given by:
\[ \Phi = \frac{Q_{\text{enclosed}}}{\epsilon_0} \]
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