I cant understand why is v(s) like that.. Design a lowpass RC filter with a resistance R = 2 k2. The

I cant understand why is v(s) like that.. Design a lowpass RC filter with a resistance R = 2 k2. The input to the filter is a periodic rectangular pulse train with A 1 V, T 10 ms, and t 1 ms. Select C such that the dc component of the output is 50 times greater than the fundamental component of the output. The lowpass filter is shown below, Circuit used in ww Example 15.21. + V SECTION 15.2. F AT 2A sin cos no! T T n=1 T 1/j0,C 1 2nT VS Vo R+1/j0,C noo 1 +jo,RC T 0, (de component), For n AT (i) Vo V, = T For the nth harmonic, 24 nTT 90 sin Vo= V1+@R°C® /tan_ },RC T nT When n = 1, 2A sin T (ii) = 4T T T 1+ RC 4T 30.9 From (i) and (ii), 3.09 x 10 RC + T T T 4Tt :105 C 2RR 24.59 mF RC = 1010 1+ T

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