Understanding Wave Impedence: When \eta < \eta_0

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Swapnil
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When a em-wave goes from free space to a lossless medium with a [tex]n > 1[/tex], why is it that the wave impedence [tex]\eta[/tex] becomes smaller i.e. [tex]\eta = \frac{\eta_0} { n}[/tex]. I know why from the math but I how to get to this result just by some intuitive reasoning?
 

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