posted by anonymous .
In a series RCL circuit the generator is set to a frequency that is not the resonant frequency. This nonresonant frequency is such that the ratio of the inductive reactance to the capacitive reactance of the circuit is observed to be 5.53. The resonant frequency is 220 Hz. What is the frequency of the generator?
Xl/Xc=2PIfl*2PI*f*C= (2PI f)^2 LC
but 220=1/2pi sqrt LC
so we now have
5.53=(2PIf)^2/(2PI*220)^2 = f^2/220^2
solve for f.