How Do Radio Waves Attenuate in Water Over Distance?

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SUMMARY

The discussion focuses on calculating the percentage amplitude reduction of 10MHz radio waves traveling through 250 meters of water. The key equation involves energy per unit volume as a function of the initial electric field, represented as energy/volume = f(EI). Participants emphasize the importance of the Beer-Lambert law for understanding attenuation in this context. A reference to Griffiths' textbook is provided for absorbance values, which are crucial for solving the problem.

PREREQUISITES
  • Understanding of the Beer-Lambert law
  • Familiarity with electromagnetic wave propagation
  • Basic knowledge of radio frequency (RF) concepts
  • Proficiency in plotting mathematical functions
NEXT STEPS
  • Review the Beer-Lambert law and its applications in wave attenuation
  • Study electromagnetic wave behavior in different media
  • Learn how to derive and plot functions related to energy density
  • Examine absorbance tables in Griffiths' textbook for specific values
USEFUL FOR

Students in physics or engineering disciplines, particularly those studying wave propagation, radio frequency applications, and anyone needing assistance with electromagnetic theory and its practical applications.

krickette
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Homework Statement



What is the percentage amplitude reduction of 10MHz radio waves that travel through 250 meters of water? Construct a plot of the average energy per unit volume stored in these radio waves as a function of depth from 0 to 250 meters in terms of the initial electric field at 0 meters depth. Be sure to include the equation that you plot.

Homework Equations



I know that it's going to end up being that energy/volume =f(EI) and that we need to find the f.

The Attempt at a Solution


Oh lordie. This problem is really killing me. I mean I am stumped beyond reason, and I know that I could do it if my head were clear, but I have to get this done so I can study for the rest of my finals, and I'm running on like no sleep. I know, I suck. I have literally pages of work for this problem in front of me, but it's all just garbage, so there's no real point in me posting it up here, since it wasn't anywhere close.

Anyway, if someone could help, even just a nudge in the right direction, I'll like, be your friend forever!
 
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krickette said:

Homework Statement



What is the percentage amplitude reduction of 10MHz radio waves that travel through 250 meters of water? Construct a plot of the average energy per unit volume stored in these radio waves as a function of depth from 0 to 250 meters in terms of the initial electric field at 0 meters depth. Be sure to include the equation that you plot.

Homework Equations



I know that it's going to end up being that energy/volume =f(EI) and that we need to find the f.

The Attempt at a Solution


Oh lordie. This problem is really killing me. I mean I am stumped beyond reason, and I know that I could do it if my head were clear, but I have to get this done so I can study for the rest of my finals, and I'm running on like no sleep. I know, I suck. I have literally pages of work for this problem in front of me, but it's all just garbage, so there's no real point in me posting it up here, since it wasn't anywhere close.

Anyway, if someone could help, even just a nudge in the right direction, I'll like, be your friend forever!

You should probably start by reviewing your notes / text on the Beer-Lambert law (and if it's Griffiths, there's a table of absorbancy values somewhere--I suspect the same is true of Jackson):
http://teaching.shu.ac.uk/hwb/chemistry/tutorials/molspec/beers1.htm
 

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