Ampere’s Law

According to Ampere’s law, the magnetic field line integral around a closed path is equal to the product of the magnetic permeability of that space and the total current through the area bounded by that path.

Ampere’s Law

Mathematically we can express it as:

∮ Bdl = μ0I


Maxwell’s Equation

Maxwell’s equations are like the instruction manual for how electricity and magnetism work. They were created by a smart scientist named James Clerk Maxwell in the 1800s. Since these equations help us understand everything from how lights work to how our gadgets and technology function, they are extremely significant. In this article, we’ll see Maxwell’s Equations in detail, in which there are four equations that forms the description of the topic.

Table of Content

  • Maxwell’s Equations
  • Gauss’s Law
  • Maxwell First Equation
  • Gauss’s Law for Magnetism
  • Maxwell’s Second Equation
  • Faraday’s Laws of Electromagnetic Induction
  • Maxwell’s Third Equation
  • Ampere’s Law
  • Maxwell’s Fourth Equation

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Maxwell’s Equations

Maxwell’s equations describe how the electric field can create a magnetic field and vice versa....

Gauss’s Law

Gauss law states that “ the net electric flux (ϕc) through any closed surface is equal to the net charge (q) inside the surface divided by ϵ0 “. This describes the nature of the electric field which are around the electric charges. When the charge exist at somewhere then the divergence is non zero ,otherwise it will be zero....

Maxwell First Equation

Maxwell’s first equation is based on the Gauss law of electrostatic. This law states that “in a closed surface the integral of the electric flux density is equal to the charge enclosed .” The expression for Maxwell’s first equation can be expressed mathematically as,...

Gauss’s Law for Magnetism

Gauss law on magnetostatics states that “closed surface integral of magnetic flux density is always equal to total scalar magnetic flux enclosed within that surface of any shape or size lying in any medium.”...

Maxwell’s Second Equation

Maxwell second equation is based on Gauss law on magnetostatics. This law states that ” the sum of outer flux in the magnetic induction through any closed surface is zero”. The expression for Maxwell’s first equation can be expressed mathematically as:...

Faraday’s Laws of Electromagnetic Induction

Faraday’s law states that “Whenever there is a change of magnetic flux in a circuit, an induced electromotive force or emf is produced. The emf lasts only for the time for which the flux is changing”....

Maxwell’s Third Equation

Maxwell’s 3rd equation is derived from Faraday’s laws of Electromagnetic Induction, which states that ” the line integral of magnetic field in a closed circuit is equal to the closed current.” The expression for Maxwell’s first equation can be expressed mathematically as:...

Ampere’s Law

According to Ampere’s law, the magnetic field line integral around a closed path is equal to the product of the magnetic permeability of that space and the total current through the area bounded by that path....

Maxwell’s Fourth Equation

Maxwell’s fourth equation is derived from Ampere’s Law, which states that “the magnetic field divergence is always zero.” The expression for Maxwell’s first equation can be expressed mathematically as:...

Application of Maxwell’s Equation

There are many application and uses of Maxwell’s equations in the field of electrodynamics....

Advantages and Disadvantages of Maxwell’s Equation

There are some list of Advantages and Disadvantages of Maxwell’s Equation given below :...

Conclusion

In this article we have learned about Maxwell’s equations, evolution, and applications. Maxwell’s equations represent a remarkable achievement in the history of science. They have provided a unifying framework for understanding electricity and magnetism, giving rise to groundbreaking technological advancements and revolutionizing the way we perceive the physical world....

FAQs on Maxwell’s Equation

What is the importance of Maxwell equations?...