How Does Faraday's Law Apply to EM Plane Waves in Conducting Loops?

AI Thread Summary
The discussion focuses on applying Faraday's Law to electromagnetic plane waves in conducting loops, specifically addressing a homework problem. Participants express difficulty with links to the problem statement and solution attempt, which hampers effective communication. The main concern revolves around correctly using the magnetic flux equation to derive the induced electromotive force (emf) and understanding the notation used, particularly regarding the magnetic field and the symbol for radiated power. Clarification is sought on the meaning of certain variables and their correct application in the context of the problem. Overall, the thread emphasizes the challenges in interpreting the equations and symbols related to electromagnetic theory.
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Homework Statement



See figure attached.

The file attach isn't working so here is a link to the problem statement,

http://imgur.com/FhoIe

The answer is given in a red box.

Homework Equations





The Attempt at a Solution



The file attach isn't working so here is a link to my attempt at the solution,

http://imgur.com/0nkaC

I'm fairly certain I'm not making correct use of the information given about the radiated power in order to solve this problem.

It is also possible that I've made mistakes elsewhere as well.

What am I doing wrong?
 
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neither of the links are working for me...
 
BruceW said:
neither of the links are working for me...

Let me try attaching them to this post.
 

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Those are working. But the one with your writing on is a little difficult to read.

Anyway, about the problem, you start off with the equation for the magnetic flux through the area of the coil, which is good, this does cause the emf. But then you start using the notation Hyi I'm not sure what this means. From the context, it looks like it should be the magnetic field, right?

And then you give the radiated power as the real part of the square of the electric field, divided by something that looks like the symbol nu. What is the symbol meant to represent?
 
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