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: hello there:
: It just annoy me. I made simple energy calculations at series resonance
: circuit and I was surprised to find out that the total energy of the
: inductor and capacitor exceeds that of the input... Is this natural?
Quite natural. If you apply gentle timed "pushes" to a low loss resonant LC circuit, it's quite easy to develop oscillations that are 200 or 200 times larger than the amount of energy you are externally applying (per cycle). This leads to voltages and currents within the LC circuit that are much higher than those being applied. And, this works for either series or parallel resonant LC circuits.
However, there's no "over unity" involved, since the circulating energy within the LC circuit slowly builds up as it accumulates energy from the input. Because of losses, the total energy stored within the LC circuit will always be less than the total energy that was externally supplied to the circuit.
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