Question 4) (20 points) A periodic voltage waveform vi(t) has the following Fourier series: 1 NA v₁ (t) = [ ²1/10 COS co

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Question 4 20 Points A Periodic Voltage Waveform Vi T Has The Following Fourier Series 1 Na V T 1 10 Cos Co 1 (43.23 KiB) Viewed 36 times

Question 4) (20 points) A periodic voltage waveform vi(t) has the following Fourier series: 1 NA v₁ (t) = [ ²1/10 COS cos (17) cos(n10t) - --sin sin(n10t) n n=1,3,5,... a) (3 pts) What is the period T of v₂(t)? b) (7 pts) The gain-phase form of the Fourier series for vi(t) has the following form: 00 vi(t) = An cos(n10t - 0n) n=1,3,5,... Find expressions for An, and 0. c) (10 pts) Suppose that vi(t) is the input and vo(t) is the output for the following circuit: 500 F HH ohm 100 Vi (t) Vo (t) Vo(s) Find the transfer function in s-domain H(s) = for above circuit, and obtain the VĘ(s) magnitude |H(jw)| and phase n = LH(jw). Then, obtain the circuit output vo(t) in gain- phase form (steady-state response at the output). (At least, obtain 3 terms (n = 1,3,5) of the output signal).