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Posted by admin | Posted in Diecast Toys | Posted on 07-06-2009
Tags: comics, estate, real_life_comic, rlc, webcomics
RLC Circuit question?
Consider a system that consists of a 1V sinewave input with the series RLC circuit connected to the voltage source. The output is the voltage across the capacitor.
***The actual question is:
For some value of the frequency of the sinewave, and for some combination of RLC values, can the output voltage have an amplitude greater than 1V?
I already know that the answer is yes, my question is why? The way that I have my circuit set up is with an extremely high inductance(10H). Which I believe is causing that high amount of current stored to bounce between the inductor and the capacitor. Which in turn causes the output voltage to be driven up. I think that it has something to do with the quality factor too, but I’m not real sure how…
Can anyone provide some further light on this???
You have what is called a resonant circuit. With each cycle of the sine wave energy is being stored in the inductor (as current) and capacitor (as voltage). It sloshes back and forth between them, much like a mass and a spring where potential energy in the compressed spring is exchanged with kinetic energy of the mass as it oscillates. The amount of stored energy grows until the losses in the resistor per cycle equal the amount gained from the sinewave input per cycle. If the resistance is low the voltage across the capacitor and the the current in the inductor can grow to be very large.
The quality factor is the energy stored divided by 2 pi times the energy dissipated per cycle.
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