Intensity of Waves

Physics: Cambridge International A Level, topic 7.2.2

Intensity of Progressive Waves

The intensity of any wave is defined as the time-averaged power transferred per area of space. The intensity is proportional to the square of the amplitude of the wave.

Intensity and power

Intensity and power

  • By definition, the intensity (I) of any wave is the time-averaged power (P) it transfers per area (A) through some region of space.
  • The units of intensity are therefore Watts per square metre (Wm-2).
Intensity and amplitude

Intensity and amplitude

  • The energy of a wave is proportional to the square of its amplitude. Therefore the intensity of a wave is also proportional to the square of its amplitude.
Implication

Implication

  • We often deal with waves propagating through space, where the intensity varies as an inverse square law with distance from the source of the waves.
  • Therefore, the amplitude of the wave must fall as a simple inverse proportion to distance.

Test yourself on Intensity of Waves

  • I=PAI = \frac{P}{A} only applies to progressive waves. True or false?

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