Mathematical Representation
When electromagnetic waves travel in space, they transport energy. Energy density is linked to the electric and magnetic fields.
The Poynting vector represents the rate of energy propagation per unit area perpendicular to the incident energy flow.
The electric field (E) and magnetic field (H) vectors are oriented perpendicular to each other and to the direction of wave propagation.
where P is rate of energy transfer and poynting vector
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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