Question (1) [50 points]: In the circuit below, Find the following:
a)[10 points] Draw the circuit in the S-domain.
b)[15 points] Find the transfer function H(s)=𝑉𝑜𝑢𝑡(𝑠)𝑉𝑖𝑛(𝑠) in terms of R1, R2, C1 and C2.
c)[10 points] What kind of filter does this circuit represent? Explain?
d)[15 points] Design the filter by finding the values of R1, R2, C1 and C2 in order toget a center (peak) frequency of 0.2MHz and a bandwidth of 200KHz.
Question (2) [50 points]:
For the following circuit, given that L=1uH and C=0.5uF. Do the following:
a)[15 points] Calculate the input impedance between the nodes A and B.
b)[15 points] Choose a different value for the capacitance “C” in order to achievethe maximum power at the load.
c)[10 points] Explain the resonance phenomena, please indicate all the detailsabout the behavior of the circuit at resonance with different frequencies.
d)[10 points] As a practical application for filters, assume that you are designing aradio receiver circuit to listen to a particular radio channel, what kind of filterwould you design for such an application? and why, please explain in details?
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