#### sofer

##### Junior Member level 1

**lc oscillator**

Hello everybody,

I have an interesting question. Is there a way to determine the values of an inductor and a capacitor just by forming several oscillators based on them and measuring the frequency ?

Mathematically, it seems impossible. For example, let us say the I take one inductor L and two capacitors C1 and C2. By forming an oscillator using L and C1 I can measure a frequency f1=1/(2*pi*sqrt(L*C1)). Then I can form a second oscillator using L and C2 and I can measure a frequency f2=1/(2*pi*sqrt(L*C2)) and finally I can form a third oscillator using L and C1+C2 in parallel to get a third frequency f3=1/(2*pi*sqrt(L*(C1+C2))). So I have 3 equations of the form: L*C1=k1, L*C2=k2, L*(C1+C2)=k3. But the variables are not independent enough so no unique solution.

What I was wondering whether someone knows or can suggest a way to connect any number of inductors and capacitors to form any number of LC oscillators, so that just by measuring the resultant frequencies one can determine the values of the component inductors and capacitors ? It is important to state that no known components may be used, i.e., no accurate 1% capacitor of a known value or a similar inductor. All L and C components must be unknown in advance and their determination should only be done through freq. measurement. Is such a thing even possible ?

Thanks.