Final answer:
The Gauss-Seidel Successive Over Relaxation method in MATLAB is used to solve systems of linear equations. It leverages a relaxation factor to enhance the convergence rate. When applying Gauss's law, it is important that the system exhibits symmetrical properties.
Therefore, option 1 ) is correct .
Step-by-step explanation:
The purpose of using Gauss-Seidel Successive Over Relaxation in MATLAB is to solve systems of linear equations. This iterative method improves upon the basic Gauss-Seidel method by accelerating convergence using a relaxation factor.
Gauss's law is a principle that can be applied in various systems to simplify the calculation of electric fields. To use Gauss's law effectively, the system in question must possess certain symmetries such as spherical, cylindrical, or planar symmetry. It allows us to derive the electric field in cases where the charge distribution is uniform and aligns well with one of these symmetrical configurations. The law relates the electric flux through a closed surface to the enclosed electric charge, thereby providing a powerful method to calculate electric fields more easily than direct integration.