Consider the circuit of Figure 1. R1 179.355 vi AC 1 C1 0.1F Center frequency...

  
 

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Consider the circuit of Figure 1. R1 179.355 vi AC 1 C1 0.1μF • Center frequency of fo Quality factor of Q R2 .ac dec 10000 1 1MEG Using LTspice (linear.com) 316.759 Gain at center frequency T These equations will be useful during your work: Vo C2 Figure 1. Passive Bandpass Filter (values give a center frequency of fo = 5kHz and are for illustrative purposes only) 0.1783μF Design this bandpass filter to meet the following specifications (exact values will be given in class): If and then and Note that T(s) = = Vo(s) Vi(s) 1+s(R₁C₁+R₂C₂+R₂C₁)+5² (R₂R₂C₁C₂) Tp Wo = Wo = fR R₂C₁ R₁C₁+R₂C₂+R₂C1 1 √R₂R₂C₂C₂ fc = SR₂C₁ Q-1 = fafc++/ Tp = Qff 1 FR R₂C₁ fc T(jw) = R₂ R₁ R₂C₂ frfc. ja (wo) (w³p²-w²) + jw (²0) 1. Bode plots (magnitude and phase) for the response using your ideal component values (i.e. without regard to available values). Show that these results meet all of the specifications EXACTLY! 2. Bode plots (magnitude and phase) for the circuit response using available component values. Demonstrate that these values provide an acceptable level of performance. It is YOUR job to MEET the specifications as closely as possible. This may require several iterations of choosing component values. You MUST use available resistor and capacitor values in your final design. You are allowed to "build" one of the listed values if that part is not available in the lab. Do not use electrolytic capacitors. NOTE: Use LTspice or MATLAB® to produce the Bode plots. Use a frequency range from 0.1fo to 10 fo Place a copy of your Bode plots for the final design in your lab notebook. Make sure that your pre-lab assignment meets the guidelines as outlined in section1.6. Consider the circuit of Figure 1. R1 179.355 vi AC 1 C1 0.1μF • Center frequency of fo Quality factor of Q R2 .ac dec 10000 1 1MEG Using LTspice (linear.com) 316.759 Gain at center frequency T These equations will be useful during your work: Vo C2 Figure 1. Passive Bandpass Filter (values give a center frequency of fo = 5kHz and are for illustrative purposes only) 0.1783μF Design this bandpass filter to meet the following specifications (exact values will be given in class): If and then and Note that T(s) = = Vo(s) Vi(s) 1+s(R₁C₁+R₂C₂+R₂C₁)+5² (R₂R₂C₁C₂) Tp Wo = Wo = fR R₂C₁ R₁C₁+R₂C₂+R₂C1 1 √R₂R₂C₂C₂ fc = SR₂C₁ Q-1 = fafc++/ Tp = Qff 1 FR R₂C₁ fc T(jw) = R₂ R₁ R₂C₂ frfc. ja (wo) (w³p²-w²) + jw (²0) 1. Bode plots (magnitude and phase) for the response using your ideal component values (i.e. without regard to available values). Show that these results meet all of the specifications EXACTLY! 2. Bode plots (magnitude and phase) for the circuit response using available component values. Demonstrate that these values provide an acceptable level of performance. It is YOUR job to MEET the specifications as closely as possible. This may require several iterations of choosing component values. You MUST use available resistor and capacitor values in your final design. You are allowed to "build" one of the listed values if that part is not available in the lab. Do not use electrolytic capacitors. NOTE: Use LTspice or MATLAB® to produce the Bode plots. Use a frequency range from 0.1fo to 10 fo Place a copy of your Bode plots for the final design in your lab notebook. Make sure that your pre-lab assignment meets the guidelines as outlined in section1.6.

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