What is the value of εr in a lossless dielectric with μr = 1?

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Homework Help Overview

The discussion revolves around determining the value of εr in a lossless dielectric medium where μr is given as 1. The context involves electromagnetic wave propagation, specifically analyzing the magnetic field component of a plane wave.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants explore the relationship between the speed of the wave and the dielectric constant, questioning how these properties interrelate. There is also a discussion about the implications of the given values of μr and εr, with some participants attempting to clarify the correct interpretation of the equations involved.

Discussion Status

The discussion is ongoing, with participants raising questions and clarifying assumptions. Some guidance has been offered regarding the relationships between the parameters, but no consensus has been reached on the value of εr.

Contextual Notes

Participants are working with the assumption that the medium is lossless, and there may be confusion regarding the relationships between μr, εr, and wave speed. The original poster expresses uncertainty about how to derive εr from the provided information.

formulajoe
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H = 30 sin ( 2*pi*10^8*t - 5*x) in the z direction milli-amp/meter.
First question is if μr = 1, find εr.

H is the magnetic part of a plane wave in a lossless dielectric.
I don't see any way to find εr from the information that's been given.
 
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What is the speed of the wave? How does the speed relate to the dielectric constant?
 
just had a thought, if the square root of μr*εr = 5, than μr = 25 correct?
 
I think you mean εr, and if μr is 1, then that is obviously true.
 
i mean, that's the answer to the question right?
 

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