If the intensity loss along the beam path from point A to point B is 5 dB and the intensity loss along the beam path from point B to point C is 2 dB, what is the intensity loo along the beam path from point A to point C?

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ultrasound physics

If the intensity loss along the beam path from point A to point B is 5 dB and the intensity loss along the beam path from point B to point C is 2 dB, what is the intensity loo along the beam path from point A to point C?

 

Expert Solution
Step 1

The sound intensity level (β) corresponding to a sound intensity (I) and a reference sound intensity (I0) can be expressed in dB as follows:

 

β=10logII0 dB

Step 2

Let IA, IB, and IC, and βA, βB, and βC denote the sound intensities and the sound intensity levels at the given points A, B, and C, respectively.

Determine the intensity loss expressions (βAβB, βBβC, and βAβC) from the above expression as follows:

 

βA-βB=10logIAI0 dB-10logIBI0 dB=10logIAIB dB                                    loga-logb=logabβB-βC=10logIBIC dBβA-βC=10logIAIC dB

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