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In a series RCL circuit the generator is set to a frequency that is not the resonant frequency. This nonresonant frequency is s...Question
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?
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bobpursley
Xl/Xc=2PIfl*2PI*f*C= (2PI f)^2 LC
but 220=1/2pi sqrt LC
or LC=1/(2PI*220)^2
so we now have
5.53=(2PIf)^2/(2PI*220)^2 = f^2/220^2
solve for f.
but 220=1/2pi sqrt LC
or LC=1/(2PI*220)^2
so we now have
5.53=(2PIf)^2/(2PI*220)^2 = f^2/220^2
solve for f.