Explain why air impedance = 377ohm.?



Answer:
Well, the impedance of a medium is defined to be

Z = SQRT(mu/epsilon)

where epsilon is the dielectric constant of the medium
mu is the permeability of the medium

For a vacuum,

epsilon is 8.85418782 × 10-12 m-3 kg-1 s4 A2
mu is 1.25663706 × 10-6 m kg s-2 A-2

Plugging into the equation gives

Z = 377 Ohms

Since the permeability and permittivity of air is similar to a vacuum, we usually list the impedance of free space as 377 ohms.

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