Question

14.01. Find H(s) = I(s)/Vs(s), and the forced response i(t) for us =sin 2t V. For what range of a does this corre- spond to the steady-state response? Explain. 282 14 H () 00 av, κυ, PROBLEM P14.61

Answer 1

1645 is 3 Isis) I,= - ICs) Jeshi TV KvL in mesh In 4s [12-11] + 5)2 +5 [I-IS(5)]=0 [45+5+5] I_ - 45 I, -51%(S) = 0 6S Is + 45 118)-SIL(S) =0 - 0 KVL in mesh I, i 1,0) + 45 (I-I, )=0 (1+45) I4 = I2 12--1+45) ICS) aboven in ear substitute 651-C1+45) Irs)] + 45I(9) = 5 Ig(s) I(s) [-65+245 + 4s] = s Ig(s) ICS) ILS) -245 , H(s)- I(3) - 5 25 (125 +1) IS Corner (d) break frequencies = 0, Viz radisee

(14.01 VCH IH -6000 jXL-310 Coslot Alt Vil I A sict V(+) = ict KCL at node VCH VEH – vilts + VCH = 1609 jio Vets [1 - 30-] +0.17icht ziloº vett (1-30-1) + 6310 VCH LO' vit) [1-jo-170-18] =10 Iveta IL Vetoa (town)-jov) (1 +0:10)-jo.lt + V. (3) ve Rico . Als KUL in 112 AS x Vrls VpLs) = 214) I() = 1143) + a1, = (1+2)1/49) mesh I I, (s)= (172) Il Vsis) = 21,15) + I(S) 45 +41115) Vgls) = (2+ 4 ) ( 1 tad) +45] Ies) Tis S(1+22) Vous) $'( 4 +84)+25 +4