Vi Figure P14.50 Full Alternative Text
Consider the series RLC circuit shown . When the
output is the voltage across the resistor, we know this circuit is a
bandpass filter. When the output is the voltage across the series
combination of the inductor and capacitor, we know this circuit is a
bandreject filter. This problem investigates the behavior of this circuit
when the output is across the inductor.
1. a) Find the transfer function, H(s)=Vo(s)/Vi(s) when Vo(s) is the
voltage across the inductor.
2. b) Find the magnitude of the transfer function in part (a) for very
low frequencies.
3. c) Find the magnitude of the transfer function in part (a) for very
high frequencies.
4. d) Based on your answers in parts (b) and (c), what type of filter is
this?
5. e) Suppose R=600 Ω, L=400 mH, C=2.5 μF. Calculate the cutoff
frequency of this filter, that is, the frequency at which the
magnitude of the transfer function is 1/2.
Note
that the output voltage is now the voltage across the capacitor.
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