RLC Band-pass Filters
Band Stop (Notch) Filter
Another Example
AM Radio Receiver “Selectivity” is very important – relates to a parameter “Q” for the filter.
Series RLC Band-pass Filters in more detail Max |HV|=1 at High Q more selective
Quality Factor Q Dw: note abs magnitude is Looking at the roots of both equations:
Quality Factor: Cont. The lower the R (for series R) the sharper the peak
RLC at Resonance At resonance: current is max. Zeq =R current and voltage are in phase. the higher Q, the narrower the resonant peak.
Concept Check: ac Circuit Resonance The current in an RLC series circuit leads the ac voltage source. To bring the circuit to resonance, should the capacitance be increased or decreased? Answer: ICE, it is capacitive, reduce the impedance of the capacitor, i.e. increase the capacitance. Alternatively, inductance can be increased to offset the impedance of the capacitor.