b) Design active first order high pass filter with passband gain of 20, a 3 dB cut off frequency of 10 krad s, and an input impedance of magnitude 100k at 20 krad s c) Find the transfer function and frequency response of this filter d) Find output voltage, Vo(t), when input voltage, Vi(t), is equal...

Answer and step by step explanation a The design of the active firstorder highpass filter can be done using the following steps 1 Calculate the filters cutoff frequency The cutoff frequency of the filter ...

b) Design active first-order high-pass filter with passband gain of 20, a 3 dB cut-off frequency of

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b) Design active first-order high-pass filter with passband gain of 20, a 3 dB cut-off frequency of 10 krad/s, and an input impedance of magnitude 100kΩ at 20 krad/s.
c) Find the transfer function and frequency response of this filter.
d) Find output voltage, Vo(t), when input voltage, Vi(t), is equal to δ(t).
e) Write and solve the differential equation for the function of voltage Vo(t) analytically. Check the linearity of this differential equation (system).
f) Analyze the behavior of your design by the differential equation you derived when t goes to ∞ and -∞ and t=0.