Mathematical Representation of EM Waves
Maxwell gave the basic idea about electromagnetic radiations on the other hand it is Hertz who experimentally proves and confirmed the existence of Electromagnetic waves.
As we all know that In the electromagnetic field three important factors involved and that is E is an electric field vector and B is an magnetic field vector respectively
Consider an plane has an electromagnetic wave which is travelling in Y direction is of the form :
E(y , t) = Emax cos (kx-wt+Φ)
B(y , t) = Bmax cos(kx-wt+Φ)
Here we use vector cross product of the electric field and magnetic field which is given by :
E x B
What is Electromagnetic Field ?
As we all know, a field is nothing but a physical quantity that’s assigned to every point in space. The electromagnetic field is a combination of electrical and magnetic phenomena that exist in space and it is also created by the motion of charges (electric field) which creates a magnetic field. In simple terminology electromagnetic field is a wave that transports electromagnetic energy with the speed of light. It is a scalar quantity that has only a magnitude not direction associated with it. It is a field described by classical thermodynamics. Maxwell’s law and Lorentz’s force law describe how electric charges constitute current and interact with a magnetic field. Here the important point to catch is without electromagnetic waves we can’t generate electromagnetic fields so both these terms are dependent on each other.
Table of Content
- Electromagnetic Field
- Electromagnetic Waves
- Equations
- Properties
- Categorization
- Mathematical Representation
- Properties
- Applications
- Electric Field (E) Vs Magnetic Field (B)