Calculating Inductance for 10kHz Capacitor

greenday1260
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Homework Statement



What inductance must be used with a 4.0 µF capacitor to produce a frequency of 10 kHz, which is near the middle of the audible range of frequencies?

Homework Equations



w = 2pi*f/C=1/(sqrt(T*C)) --->angular fequency
T= 1/f


The Attempt at a Solution


T= 2pi/w ------> w= 2pi/(T/8) = 1/(sqrt(LC))---->(16pi/T)^2=1/(LC)

This is a new topic for me. I'm not sure if I'm doing it right.
 
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greenday1260 said:
What inductance must be used with a 4.0 µF capacitor to produce a frequency of 10 kHz, ...
An inductor with a capacitor does not necessarily produce a frequency, and the combination can undergo electromagnetic oscillations at any frequency.
 
To solve this, I first used the units to work out that a= m* a/m, i.e. t=z/λ. This would allow you to determine the time duration within an interval section by section and then add this to the previous ones to obtain the age of the respective layer. However, this would require a constant thickness per year for each interval. However, since this is most likely not the case, my next consideration was that the age must be the integral of a 1/λ(z) function, which I cannot model.
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