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Unformatted text preview: Title: Resonance Circuits Richard Madison Haynie Partner: Josepsh Scott (All graphs are attached to back) Objective: Look at the resonance, it’s effect and use in RLC parallel and series circuits. Use the circuits and Pico Scope to experimentally find the quality factor Q. “Ringing” will also be investigated in the parallel circuit. LC Resonant Circuit Parallel: From theory the resonance frequency for an RLC circuit is 1 2 f LC π = . For the circuit shown in figure-1 the value experimentally for f =31840Hz (graph-1) and from theory f = 30077Hz (graph-2) the two values have a 5.9% discrepancy. A plot of V out /V in vs frequency is shown in graph-3 a table of all points attached to back, table-1 attach. This circuit is a voltage divider where ( 29 ( 29 2 2 2 2 2 1 2 2 1 2 out in fL f CL V V fL R f CL π π π π- = +- for f<f and f>f respectively. Q was then found, from theory Q=ω RC and experimentally 3 dB f Q f = ∆ . Values for f 3dB were found by finding two frequencies giving the closest attenuation to 70.7% and then using linearization. From theory frequencies giving the closest attenuation to 70....
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- Spring '08
- Sine wave, resonance frequency, Resonance Circuits Richard