![]() Ideally, we can find a surface over which the electric field makes the same angle with the surface and over which the electric field is constant in magnitude. Gauss law is a theoretical law that states that the total electric flux through a closed surface is directly proportional to the net charge enclosed by that. In these systems, we can find a Gaussian surface S over which the electric field has constant magnitude. In general, the integral for the flux is difficult to evaluate, and Gauss’ Law can only be used analytically in cases with a high degree of symmetry. We now need to choose a gaussian surface that will make the flux integral easy to evaluate. It turns out that in situations that have certain symmetries (spherical, cylindrical, or planar) in the charge distribution, we can deduce the electric field based on knowledge of the electric flux. The magnitude of the electric field everywhere is the. Gauss’s law is very helpful in determining expressions for the electric field, even though the law is not directly about the electric field it is about the electric flux. The total flux is going to be the integral of d, which is the integral over the closed surface EdA. Below examples mostly considered an electric field as a vector field. Their vector field referred here could either be a magnetic field, gravitational field or electric field. ![]() Apply Gauss’s law to determine the electric field of a system with one of these symmetries An arbitrarily closed surface in three-dimensional space through which the flux of vector fields is determined is referred to as the Gaussian surface.Recognize whether or not a given system possesses one of these symmetries.Therefore, the theorem allows us to compute flux integrals or triple integrals that would ordinarily be difficult to compute by translating the flux integral into a triple integral and vice versa. ![]() Finally, the imaginary distribution is projected to the receiver surface along the reflection direction by image mapping.
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