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

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Homework Help Overview

The discussion revolves around the application of Faraday's Law to electromagnetic plane waves in the context of conducting loops. Participants are examining a specific problem involving magnetic flux and induced electromotive force (emf), with references to radiated power and electric field representations.

Discussion Character

  • Exploratory, Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to apply Faraday's Law but expresses uncertainty about the use of information regarding radiated power. Some participants question the clarity of the notation used in the equations, particularly regarding the magnetic field and the symbol representing a parameter related to the electric field.

Discussion Status

Participants are actively engaging with the problem, seeking clarification on specific terms and their implications. There is a focus on understanding the relationships between magnetic flux, emf, and the associated equations, though no consensus has been reached on the correct approach or interpretation.

Contextual Notes

There are issues with accessing external links provided by the original poster, which may hinder the clarity of the discussion. Participants are working with potentially incomplete information and unclear notation in the problem statement.

jegues
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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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