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Registered Member #152
Joined: Sun Feb 12 2006, 03:36PM
Location: Czech Rep.
Posts: 3384
Lets say I have a series LC circuit with resistance R in series with it. Is there a formula to calculate the resonant voltage rise of this circuit when excited at a given frequency?
Registered Member #135
Joined: Sat Feb 11 2006, 12:06AM
Location: Anywhere is fine
Posts: 1735
L = 2pi F XL C = 1/ (2pi F Xc)
little extrapolation;
so L/C = 2pi F XL * 2pi F Xc = 4 pi^2 F^2 XL Xc
so Q = 1/R * sqrt( 4 pi^2 F^2 Xc XL)
or Q = 2piF/R *sqrt(Xc XL)
woops, heh, corrected, and I left the pi alone so you can see it better. I was trying to show that I pulled the 2piF out of the root. Didn't mean to make the equation wrong.
Registered Member #30
Joined: Fri Feb 03 2006, 10:52AM
Location: Glasgow, Scotland
Posts: 6706
Yes, just substitute the values of Q and f0 you calculated into the transfer function of a second-order bandpass system, replace all the s (Laplace operator) for j*omega, square the whole mess, and you have the response as a function of frequency.
I found a Google Book that shows the method: though it solves for the voltage across the resistor, which is probably not what you want.
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Resonant voltage rise?
