Derivation of Average Power Density by Poynting Theorem
Let’s say that average power density is denoted as (Savg)
We know that
wave velocity
=
Where integration of A is Equal to S (surface area),
where C is wave velocity and f is frequency.
calculating with help of energy density, then we can Write as
Poynting Theorem
The Poynting Theorem which was named After the British Physicist John Henry Poynting is a concept in electromagnetism that describes the energy inflow in an electromagnetic field. It Establishes a connection between the electromagnetic fields and the rate of energy transfer in a given region of space. Mathematically, it’s expressed as the cross-product of the electric field( E) and the magnetic field( H). It represents the power per unit area, or intensity, of the electromagnetic field. In this article, we will be Going Through The Poynting Theorem and its Mathematical Representations and Derive Some Equations.
Table of Content
- What is the Poynting Theorem?
- Mathematical Representation
- Proof of Poynting Theorem
- Derivation of Average power
- Derivation of Average Power Density
- Advantages and Disadvantages
- Application
- Solve Example