Q:

How do you calculate the value of the inductor and capacitor in a parallel LC circuit?

There is a parallel LC circuit with unknown values for the inductor and the capacitor.  How exactly can I identify the value of the inductor and capacitor?
I know I can apply an sinusoidal function to the circuit and calculate the product of LC by identifying the resonance frequency.  However I cannot figure out how exactly one could identify the value of the individual components in the parallel LC circuit.  I can only use an oscilloscope and a signal generator.
Note:  I cannot remove any components from the LC circuit as it is in a "black-box."

A:

Identify the resonant frequency (f1)
Add a parallel capacitor of known value (Cx).
Measure the resonant frequency again (f2). If it doesn't oscillate try with other capacitor value.
\${f_2 \over f_1} = \sqrt{ C \over {C + C_x}}\$. The only unknown in this is C. You can calculate it.
Determine L using the old frequency and the determined value of C.

