Finding L and C for which there is only one resonant frequency in cct 1. The problem statement, all variables and given/known data an inductor in series with a paralle of (a capacitor and a resistor) The inductor and resistor are fixed while C is variable Z = sL + R/(1+RsC) Find a value of L and C such that there is only one value of C for which there is a resonant freq 2. Relevant equations R = 10k resonant freq = 40k * pi 3. The attempt at a solution Set Z = R at resonance and find that w^2RLC + jw(R^2C-L) = 0 at resonance, the bracket term becomes zero. But I am confused by the fact that the w is outside of the brackets. Do I just set R^2 C - L = 0 and find solve for L and C? But I only have one equation and two unknowns.