Question
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LTI system: : given the circuit (LTI system) in the following figure where vin(t) and vout(t) are the input and the output voltage, respectively Find the transfer function H(f) where Vout(f) middot H(f)Vin(f). Given the circuit in figure 2 and R2 = 1.5 k Ohm, R2 = 180 Ohm, and C = 0.05 mu F, Determine the transfer function H(f) using the result in 1). Find Vout(t) when Vin(t) = 10 cos[2 pi(100)t] V by using the inverse Fourier Transform Vout(t) = FT-1{H(t)Vin(f)} where FT-1{middot} denotes the leverse Fourier transform. Find Vout(t) when Vin(t) = 10cos[2 pi(100)t] V using phasor analysis technique. Do the results in b) and c) match each other? Repeat b) when Vin(t) = 10cos[2 pi(100000)t] V. Compare Vout(t) in b) and Vout(t) in d). What can you say about this system? Lowpass filter or highpass filter?
Explanation / Answer
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