Transcription of Frequency response: Resonance, Bandwidth, Q factor
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Frequency response: Resonance, Bandwidth, Q factor
Frequency response: Resonance, Bandwidth, Q factor Resonance. Let s continue the exploration of the Frequency response of RLC circuits by investigating the series RLC circuit shown on Figure 1. RRCVR+-VsI Figure 1 The magnitude of the transfer function when the output is taken across the resistor is ()()222()1 VRRCHVsLCRC = + ( ) At the Frequency for which the term 21LC 0 = the magnitude becomes ()1H = ( ) The dependence of ()H on Frequency is shown on Figure 2 for which L=47mH and C=47 F and for various values of R.
Notice that this power is a function of frequency since the amplitudes VR and IR are frequency dependent quantities. The maximum power is dissipated at the resonance frequency 0 2 max ( ) 1 2 PPVS ωω= R == (1.6) 6.071/22.071 Spring 2006, Chaniotakis and Cory 3
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