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Comments on Critically damped oscillation issue

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Critically damped oscillation issue

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I have a question about this circuit:(critically damped oscillation)

SeeMe

For a critically damped oscillation for a series RLC circuit the equation of current has this form I(t)=D1te^(-at)+D2e^(-at) where D2 =I(0+) and D1-aD2 = dI(0+)/dt=VL/L.

Due to L1 :I(0)=I(0+)=0A and by applying KVL in VL1=-VC1=-2V

And by substituting the values we get D1=-2A/s and D2 = 0A and we end up with an equation of I(t)=-2te^(-0.5t) but this cant be correct.What am I doing wrong?

capacitor inductor tank-circuit
posted over 3 years ago
1y ago by Lorenzo Donati‭
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MissMulan‭
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Olin Lathrop‭ wrote over 3 years ago · edited over 3 years ago
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This question is closed because the diagrams are unreadable. You should have been able to see that for yourself. Each circuit should probably be a separate image, and any text between should be normal text in the question. Text in images doesn't work for indexing and searching. While you're at it, make sure each component has a unique designator. Ping me when you've fixed the question so that I can re-open it.

MissMulan‭ wrote over 3 years ago
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Ok it is ready for reopening

Olin Lathrop‭ wrote over 3 years ago
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Hmm. It's still pretty hard to read. What's that thing in the top middle of the schematic, for example? Also, the equations in your text are unreadable. We have MathJax here for that. I'll reopen it this one time, but in the future this won't be good enough. You wouldn't hand in homework this illegible. We deserve no less, especially considering your professors are paid to read your homework. We are all volunteers here.