Derivation of Average power by Poynting Theorem
Let us Derive Average Power by Poynting Theorem:
We know
power density vector
then,
instantaneous poynting vector
So, -(1)
= -(2)
Where is constant
In Equation (1) and (2) putting the average poynting vector
So,
Instantaneous power =
For average power, we can proceed as
where Pavg is the average power over one period of the periodic signal.
Eo is the amplitude of the signal
is a constant.
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
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