1/Why are Fourier series important in physics?
2/What is the role of Fourier's law?
3/ What is the difference between the Fourier transform and the Laplace transform?
1. Fourier series help break periodic signals into simple waves for easier analysis.
2. Fourier’s law states that heat flows from hot to cold proportional to the temperature gradient.
3. Fourier transform focuses on frequency analysis, while Laplace transform is broader and suited for solving differential systems.
2. Fourier’s law states that heat flows from hot to cold proportional to the temperature gradient.
3. Fourier transform focuses on frequency analysis, while Laplace transform is broader and suited for solving differential systems.
1__ Fourier séries are important bé cause are used too :
Analyse waves and vibrations
Solve differntial équation
2__fourier's Law its state that thé heat flux IS proportional to thé négative température gradient
3__fourier trrnsform used to analyze thé fréquency content
Laplace transform suited for solving differntial systèmes
Analyse waves and vibrations
Solve differntial équation
2__fourier's Law its state that thé heat flux IS proportional to thé négative température gradient
3__fourier trrnsform used to analyze thé fréquency content
Laplace transform suited for solving differntial systèmes
Importance of Fourier series:
They represent any periodic function as a sum of simple waves (sine and cosine) and are used in waves, heat, vibrations, and AC electricity.
Role of Fourier’s law:
It describes heat flow from hot to cold and shows that heat transfer depends on the temperature difference and the material.
Difference between Fourier and Laplace transforms:
Fourier transform analyzes frequencies in a signal,
Laplace transform studies system behavior over time, especially transients.
They represent any periodic function as a sum of simple waves (sine and cosine) and are used in waves, heat, vibrations, and AC electricity.
Role of Fourier’s law:
It describes heat flow from hot to cold and shows that heat transfer depends on the temperature difference and the material.
Difference between Fourier and Laplace transforms:
Fourier transform analyzes frequencies in a signal,
Laplace transform studies system behavior over time, especially transients.