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Question:

Why do we need to match the impedance of antenna to the transmission line?

Shouldn t we match the antenna to the load(modulator, etc.) rather than the transmission line?

Answer:

To avoid generate reflect power due to mismatch, reflect power cancels the useful transmit power that make the transmitter becomes useless.
A transmission line has a characteristic impedance. If the antenna properly matches the line, the maximum possible power transfer will occur. Any mismatch reduces that effectiveness. Likewise and for the same reason, the transmission line should be matched to the transmitter itself.
the transmitter works at a certain impedance, if the transmission line doesnt has the same impedance, the power transmission from the transmitter to the transmission line has higher losses. its like an engine doing 2500rpm, then the 5th gear is will have have high loss in power transmission and the car will work very innefficient, same is the transmitter and transmission line with the impedances, the impedance or resistance of transmitter and transmission line have to match to work with very low loss and highly efficient. why the transmitter and transmission line have an impedance or resistance is because of the material it is constructed from, same as the cars-engine and car-transmission have a resistance according to their build, thats how it is.

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