Why does an AM radio channel require any bandwidth at all? Why can’t it just transmit on a single, precise frequency?

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Why does an AM radio channel require any bandwidth at all? Why can’t it just transmit on a single, precise frequency?

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What any broadcast system is going to have trouble with is that is it not possible to filter one single frequency from the other broadcasts next to it on the dial. This is because the frequency filters in a radio receiver can not be that accurate as the environment around the radio receiver changes capacitance and the transmitted signal changes frequency slightly when it bounces off surfaces on the way to the receiver.

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