Calculating the frequency based on LC circuit

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The discussion centers on calculating the resonant frequency of an LC circuit used in a lightning detector. The original calculation yielded a frequency of 5 Hz, which is significantly lower than the expected 200 kHz. Participants pointed out errors in the use of SI prefixes and the need for proper brackets in the formula. Correcting these mistakes, the accurate resonant frequency was recalculated to be approximately 503.3 kHz. This highlights the importance of careful attention to unit conversions and mathematical notation in circuit calculations.
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Hi all,

I am currently building up a lightning detector based on this website: http://www.techlib.com/electronics/lightningnew.htm
as the diagrams shows, the resonance tank included a 10mH inductor and a 10pF capacitor.
As I want to calculate the resonant frequency (using the formula f = 1/2pi*sqrt(LC)), the answer was 5Hz, which is far from the desired range (should be around 200kHz)
is there any mistake in my calculation or concept? Thanks for your help.

Guns
 
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How did you get your answer? Did you consider the SI prefixes (milli, pico)?
I think there are brackets missing in your equation.
 
mfb,
I did it this way:
1/2pi*sqrt(10^(-3)*10^(-12))
which approxmately equals to 5 Hz.
 
Following up on mfb's post, you're missing brackets and are using the wrong values for the SI units:

10 mH = 10*10^(-3) H
10 pF = 10*10^(-12) F

1/(2*pi*sqrt(10*10^(-3)*10*10^(-12))) Hz = 503.3*10^3 Hz = 503.3 kHz
 
oh my, silly me.
Thanks mfb and milesyoung!
 
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