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The simple explanation is that you take a modulated electrical signal to create a modulated electromagnetic field. That field then vibrates some sort of physical object (like a speaker cone) causing that cone to vibrate, which causes air to move in ways that create alternating high- and low-pressure; a wave. A sound wave.
Moving more air will create more dramatic pressure differences; it will make the sound louder. This can be done by a combination of larger speakers than can push more air every time they vibrate and/or creating a stronger electro-magnetic field (usually accomplished by turning up the volume).
Sending 100 electrical pulses per second will result in a steady low note as the speaker cone vibrates at 100 hertz. Sending 8000 electrical pulses per second will yield a high note as the speaker cone vibrates at 8 kilohertz. Varying the pulse rates and magnitudes of the electrical signal will result in more complex sounds like speech, music....
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