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The sine wave is the curve that naturally occurs when the restoring force is proportional to the displacement. The math is a little complicated (the sine wave in this case is the solution of the corresponding differential equation), but the point is, this relationship between the force and the displacement is a fairly common situation.

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Q: Why all the oscillations found in nature mechanical electrical etc are sinusoids?
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The heat observed in a circuit is the result of electrical resistance.Under normal circumstances, every electrical circuit has a certain amount of resistance to the flow of electricity. Electronflow opposed by the physical nature of the conductor. This is the fundamental nature of electrical resistance. Whenever this happens, the energy of those electrons is absorbed by the conductor (as opposed to flowing through) which then emitts this captured energy as heat. The higher a conductor's resistance, the more electrical energy is converted to heat by it.


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What does oscillate mean?

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