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How do antennas work if DC cannot pass through air

The long range fall off of electromagnetic field strength cannot make electrons drift, just like how sound doesn't move without a medium. However, AC, although it does not transmit power with a reasonable strength wirelessly, can incomplete

Also, the impedance of free space is 377 ohms.
\(Z_0 = \frac{|E|}{|H|} = 377 \: \text{ohms}\)

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