A series RLC circuit has resonance angular frequency 2000 rad/s. When it is oper

Question

A series RLC circuit has resonance angular frequency 2000 rad/s. When it is operating at some certain frequency, Xl = 12.0 ohms and Xc = 8.0 ohms. (a) Is this certain frequency higher than, lower than, or the same as the resonance frequency? (Defend your answer...i.e. don't just answer "higher, lower or the same") (b) Explain whether it is possible to determine the values of both L and C. (c) If it is possible, find L and C. If this determination is not possible, give a compact expression for the condition that L and C must satisfy.

Explanation / Answer

at resonance f=1/(2*pi*sqrt(lc); Xl/Xc=1.5=w^2lc; lc=(4000*pi)^-2=>w=sqrt(1.5)4000pi so f is greater than resonance freq

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