But really, if you want to get your hands dirty with some practical electronics, and also want to be able to communicate without relying much on nearby infrastructure, amateur radio is a great hobby.
It was mind blowing when I first heard the audio through IEMs ! It felt magical that this contraption was working without any battery source.
I tend to prefer these visual and intuitive explanations to the mathematically based ones usually given in lectures. The "open capacitor" example was something I hadn't thought of before.
Radios, how do they work? - https://news.ycombinator.com/item?id=39813679 - March 2024 (109 comments)
https://sg30p0.familysearch.org/service/records/storage/dasc...
You could also use signals from 2 antennas 90 degrees apart to get I and Q. This gives you the added ability in that signals from one side has a negative frequency. It's some really useful stuff.
The theory seems overly complex (because it is). but for practical radio you can tune up nearly anything and chat -- and be way more productive with it.
Imagine obsessing over the mechanics of baseball or fishing without ever tossing a ball or casting a reel.
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> The identity for cos(α + β) can be trivially extended to cos(α - β), because subtraction is the same as adding a negative number:
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> From the formula we derived earlier on, the result of this multiplication necessarily indistinguishable from the superposition of two symmetrical sinusoidal transmissions offset from a by ± b, so AM signals take up bandwidth just the same as any other modulation scheme.
Imagine a circuit. Like a flashlight. The electrons flow from the battery to the lightbulb and back. It’s like a race track. They proceed in an orderly fashion.
There are some other electrical components. If you hook them up in just the right way, you get something called an LRC circuit. The electrons don’t flow in an orderly way now. They go back-and-forth. In spurts and fits. You’re making them wiggle. There are some very nice equations that allow you to specify exactly how much and how fast the wiggling is.
One cool thing about a circuit with wiggling electrons is that if you put some wires close by those electrons will also start wiggling.
This is called radio.