Gauss's law helps determine electric fields even though the law is not directly about electric fields but electric flux. In situations with certain symmetries (spherical, cylindrical, or planar) in the charge distribution, the electric field can be deduced based on the knowledge of the electric flux. In these systems, we can find a Gaussian surface S over which the electric field has a constant magnitude. Furthermore, suppose the electric field is parallel (or antiparallel) to the area vector everywhere on the surface. In that case, the flux integral transforms into the product of the electric field magnitude and an appropriate area. Thus, the equation representing Gauss's law simplifies to the following:
When this flux is used in the expression for Gauss's law, an algebraic equation is obtained, which can be solved to find the magnitude of the electric field.
To summarize, when applying Gauss's law to solve a problem, the following steps are followed:
ABOUT JoVE
Copyright © 2024 MyJoVE Corporation. All rights reserved