Gauss's Law is a fundamental principle in electromagnetism that describes how electric charges create electric fields. It states that the electric flux (the flow of electric field) through a closed surface is directly proportional to the total electric charge inside that surface. In simple terms:
- If there is a positive charge inside a closed surface, it "pushes" electric field lines outward.
- If there's a negative charge, it "pulls" electric field lines inward.
- The more charge there is inside the surface, the stronger the electric field, and hence the electric flux increases.
Mathematically, it’s expressed as:
\[
\Phi_E = \frac{Q_{\text{enc}}}{\epsilon_0}
\]
Where:
- \(\Phi_E\) is the electric flux through a closed surface.
- \(Q_{\text{enc}}\) is the total charge enclosed within the surface.
- \(\epsilon_0\) is the permittivity of free space (a constant).
In simple words:
Gauss’s Law helps us understand how charges influence the electric field in a region of space.