College Physics II – Mechanics, Sound, Oscillations, and Waves
Definition
Intensity (I) is the power transferred per unit area where the wave is propagating. It quantifies how much energy a wave delivers to a surface per unit time.
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Intensity is proportional to the square of the amplitude of the wave: $I \propto A^2$.
The unit of intensity in the International System of Units (SI) is watts per square meter ($W/m^2$).
For a spherical wave, intensity decreases with the square of the distance from the source: $I \propto \frac{1}{r^2}$.
The formula for intensity is $I = \frac{P}{A}$, where $P$ is power and $A$ is area.
In sound waves, higher intensity generally corresponds to louder sounds.
Review Questions
What is the relationship between intensity and amplitude for a wave?
How does intensity change as you move farther from a point source of waves?
What are the units used to measure intensity?
Related terms
Amplitude (A): The maximum displacement or distance moved by a point on a vibrating body or wave measured from its equilibrium position.
Power (P): The rate at which energy is transferred or converted. In waves, it refers to how much energy passes through a given area in a given time period.
Frequency (f): $\text{Number of oscillations or cycles per unit time. Measured in hertz (Hz).}$