Difference Between Gauss Law and Coulomb Law

高斯定律与库仑定律

Gauss’s law and Coulomb’s law are two very important laws used in electromagnetic field theory. These are two of the most fundamental laws, which lead to the development of the electromagnetic field. These laws, along with Ampere’s law, lead to Maxwell’s equations. Maxwell’s equations are a set of four equations that can describe any phenomenon in electromagnetic theory. A thorough understanding in these two laws is required, to understand the theories of electromagnetism fully. In this article, we are going to discuss what Gauss’s law and Coulomb’s law are, their applications, the definitions, the similarities between these two, and finally the differences between Gauss’s law and Coulomb’s law.

Gauss’s Law

Gauss’s law is a very important law that describes the properties of electric fields, magnetic fields and gravitational fields. The Gauss’s law for electric fields states that the electric flux through any closed surface is proportional to the electric charge enclosed by the surface. It can be expressed as∅=Q/ε₀where φ is the total electric flux over the surface, Q is the charge enclosed by the surface, and ε₀is the dielectric constant. To understand this concept, one must first understand the concept of electric flux. The electric flux over a surface is a measurement of the number of electric field line passing through a surface. This is directly proportional to the number of electric field lines across the surface. The Gauss’s law for the magnetic fields is a very important law. The Gauss’s law for magnetic fields states that the total magnetic flux over any closed surface is zero. This is because magnetic monopoles do not exist. Magnetic poles only exist as dipoles. In any given closed surface, the net magnetic polarity is zero. Therefore, the magnetic flux over any closed surface is zero.

库仑定律

Coulomb’s law is a law describing the interactions between electrically charged particles. This states that the force between two electrically charged particles is proportional to the charges and inversely proportional to the square of the distance between the two particles. This can be expressed using the equation F = Q₁Q₂/ 4πr²ε₀where Q₁and Q2are the charges of the particles, r is the distance between the two charges, and ε₀is the dielectric constant of free space. If this equation is defined for a medium other than free space, ε₀应由ε取代，其中ε是介质的介电常数。如果这些费用是相同的符号，则F将是一个正值。这意味着两项指控互相排斥。如果这两个电荷具有不同的符号，则F将变为负值。因此，描述了两种电荷之间的吸引力。

What is the difference between Coulomb’s law and Gauss’s law? • Coulomb’s law describes the interactions between two charges while Gauss’s law describes the flux over a closed surface from the property enclosed inside the surface. • Coulomb’s law is applicable only to electric fields while Gauss’s law is applicable to electric fields, magnetic fields and gravitational fields.