An RLC circuit has a capacitance of C=0.26 µF.
(a) What inductance will produce a resonant frequency of 95 Mz? -----pH
(b) If the impedance at resonance is 1/5 of the impedance at 10 kHz, what value of R should be chosen? ----Ohm
omega = 1/(LC)^1/2
Z=[(R^2 + (wL-(1/wC)^2]^1/2
The Attempt at a Solution
Part (a): I used omega = 1/(LC)^1/2, and got the correct answer, 10.5712pH
Part (b): I tried setting the impendane at resonance equal to the impendance at 10kHz and solving for R, but I could not arrive at a solution. So, instead, since Z=R at resonance, I tried solving the impendance equation only at resonace for Z=R, but I have too many unknowns. Can anyone offer a hint as to how I should set this part up? Thanks!