Physics > Motion of Waves > 5.0 Energy associated with a wave
Motion of Waves
1.0 Introduction
2.0 Mechanical waves
2.1 Transverse waves
2.2 Longitudinal waves
2.3 Differences between transverse and longitudinal waves
3.0 Properties of wave motion
3.1 General equation of wave motion
3.2 Wave function
3.3 Equation of a plane progressive harmonic wave
3.4 Important relations
4.0 Speed of a transverse wave on a string
5.0 Energy associated with a wave
6.0 Questions
5.2 Intensity $(I)$
2.2 Longitudinal waves
2.3 Differences between transverse and longitudinal waves
3.2 Wave function
3.3 Equation of a plane progressive harmonic wave
3.4 Important relations
It is defined as the amount of energy flow per unit area per unit time in a direction perpendicular to the propagation of wave. It is denoted by the symbol $I$. It is given as, $$\begin{equation} \begin{aligned} {\text{Intensity}}\;{\text{ = }}\frac{{{\text{Power}}}}{{{\text{area of cross - section}}}} \\ I = \frac{{\frac{1}{2}\rho {\omega ^2}{A^2}sv}}{s} \\ I = \frac{1}{2}\rho {\omega ^2}{A^2}v \\\end{aligned} \end{equation} $$