1. What is the cutoff frequency for a first order RC filter? What is the resonant frequency for an RLC Notch filter? 2. Why do we place the output of our color organ filters into a non-inverting amplifier and/or buffer? 3. Consider this RLC circuit. We have in series a resistor of 1kOhm, inductor of 10uH, capacitor of 10nF. We connect the components in series respectively and probe Vout as the voltage across the inductor and capacitor. 1k 10H 10 nF Vin a) Whatdoyoubelievethefilter'scharacteristicsare?Isitalow-pass,high-pass,band-pass,notch,orneither? Explain your thinking. b) Findthetransferfunctionofthissystem.LeaveyouranswerintermsofR,L,andC,andplotthemagnitude response. c) What is the actual shape given by the magnitude response of this filter? Was it or was it not what you initially predicted it would be? How does the Q factor of this filter affect the shape of the magnitude response? d) When implementing notch filters, do we want a high resistance load or a low resistance load (again, think how R affects the Q factor)? If we have an ideal notch filter, what are its advantages compared to a band- pass filter with cutoff frequencies that are very close to each other