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

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In a lossless dielectric with μr = 1, the value of εr can be derived from the wave's speed. The magnetic field H is given as H = 30 sin(2π x 10^8 t - 5x), indicating a plane wave. The relationship between the speed of the wave and the dielectric constant is crucial for determining εr. If the square root of μr multiplied by εr equals 5, then εr must be 25 when μr is 1. Thus, the conclusion is that εr = 25 in this scenario.
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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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