7_Postlab

7_Postlab - a Based on the results from 2 should we place...

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ME 365 Lab 7: Post-Lab Solutions Fall 2011 Figure 1 – Passive Low Pass Filter Figure 2 – Passive High Pass Filter 1. Figure 1 and Figure 2 show the circuit diagram of a passive low pass filter and passive high pass filter respectively. a. Find the frequency response for each filter in terms of R 1 , R 2 , C 1 , C 2 , and jω. b. Given R 1 = 200Ω and R 2 = 20kΩ, find C 1 and C 2 , such that the high-pass filter will have a cutoff frequency of 500 , and the low-pass filter will have a cutoff frequency of 5000 . c. Use Matlab to plot the bode plot for each filter. (See post-lab 6 for bode plot example) 2. Using the values found in 1b find the input and output impedance for each individual filter. (Hint: the input impedance can be found by calculating the total impedance if of the given circuit if V out was left as an open circuit; the output impedance can be found similarly by calculating the total impedance of the circuit if V in is assumed to be a short circuit) 3. Create a band-pass filter by combining the low-pass and high-pass filter.
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Unformatted text preview: a. Based on the results from 2, should we place the low-pass filter before the high-pass filter, or should we place the high-pass filter before the low-pass filter? Explain why. b. For the given filter combination, calculate the Loading term between the two filters. Have your result in the form: c. Use matlab to plot the frequency response of your band-pass filter i. Plot the bode plot of the frequency response, G i (jω), for the ideal case with L(jω) = 1, ie, , where G lp is the frequency response of the low-pass filter and G hp is the frequency response of the high-pass filter. (Hint, matlab can do the multiplication of transfer functions for you). ii. Plot the bode plot of the frequency response, G a (jω), for the actual case with the L(jω) you calculated in 3b, ie, iii. Compare the ideal and actual frequency responses of the band-pass filter. Is it a safe assumption to have the loading term approximately equal one?...
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