Greatest RMS voltage generated in a circuluar loop antenna

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Homework Help Overview

The problem involves determining the greatest RMS voltage generated in a circular loop antenna with a specified radius and distance. The subject area includes electromagnetism and antenna theory.

Discussion Character

  • Exploratory, Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to clarify the application of the RMS voltage formula, questioning whether to use a direct calculation or consider integration for a continuous distribution.

Discussion Status

The discussion appears to be ongoing, with participants exploring different approaches to the problem. Some guidance has been offered regarding the formula for RMS voltage, but no consensus has been reached on the method to apply.

Contextual Notes

Participants are considering the implications of the continuous nature of the distribution and the specific parameters of the antenna setup, such as frequency and area.

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1. Homework Statement [/
What is the greatest RMS voltage generated in a circuluar loop antenna which is 30.0 cm in radius (also located 14.0 km away)

Homework Equations


[tex]V=wA[/tex]


The Attempt at a Solution


So the frequency is 170MHz.
My question is how to deal with the root mean squared.
is it:
[tex]V=\frac{wA}{\sqrt 2}[/tex]? A is area by the way
 
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do i perform [tex]V=\frac{wA}{\sqrt 2}[/tex]
or do i need to intergrate since this is a continious distribution?
[tex]V_rms= \sqrt ( \frac{1}{r} \int_0^r (wA)^2 dr)[/tex]
 
anyone?
 
:cry:
 

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