Question

Simplify fractions as 2. Reduce the block diagrams below to find the equivalent transfer function G() = far as possible. (Part b Hint: Combine middle 2 summing junctions into one; Are all Loops and forward path touching? If so show a common element.)

Answer 1

G(s) -SHYAM PAGE NO.: DATE : (3) GESI 1910) II (a) Solution (5+2) Step- (5+2) Istit Steb-2 YC) 1st 1 it 3 CS + 2) (stu 3+ 1 Y(S) X(S) S (5+2)(5+1)+1 VIS st 53 +252 +25+1 Xes)

Egio 192G Step 1 move He. Hi to end of azi -H2/G₂K into Step-2 ata2 Reduce = Graz and H3 G2 G3 I+G2G3H3 G3 G2GB +G29343 - H2/a3k

443 114243Hz Helaat C243 1424313 11- तिपिs13 ____42 43 11424313 +042H2 circuit will be G2 G3 1+C4312+4212 Hilaz

Mes) ус) ЧА 43 | | 14143 +H2 + 62 Но GIG243 1 42 43 На 14. На , Gо аз у (3) СУ (3) | Сачан, -+С, Н, 44, 4, H, Answer

FHLETU.. DATE: 1 Gc(s). Ga(s) Haulso a pes) HEIS) Step solue the middle block so Ge26) Gues) Cara Gut GRGU It Ger Gu HF

Now block diagram will be. Ca t itac cit Hie Aca Gu ItGcg GUHE I GG GG Gv Gp HGG GL HET CC, Cl, Cv Gр HGGG UHE | CC G, Cup xHT 1th Gv Hp yes XC52 Grics) G (S) Gurs) Cpcs) + G6qCS) E VES) HF (S) + GACS) GC2(S) Guess ap(s) 1 VON Go, (s) G ( 2 (S) Guls) Gpcs) Amer Answer X(5) I+Geges)GU(S) HELS)+ G4Cs)aa(s) Guls) Gpls) Hoch

(DATE : जनाVoro -2k Firstlyfeduce the inner block. महि : +3 1+ 5/ Game Now the block diagram will look like. 329 S1 +2 S+3 (S+3)/5+)

solve the inner block. ST? = 478 St3 45+12 +6 45+ 18 st3 st3 Now the block diagram will be - YCS X (5) 4 S +18 S +3 (5+3) (541) 72 k - YES) 3 (45+18) 1 (s+372 (st) X(5) Y ) X032 3 (45+18)/(5+31(5+1) 77 3145+18) x 2 (5+3) 2 (S1)

VIS) 3 ( 45+18) (5+3)2(5+1 + 6145+18) X(S) 12 S +54 (5 +352 45+1) + 94-5+108 XCS) 12 S + 54 537752 +155+9 +245 +108 yo X(S) 125 + 54 53+752+ 395 +117 Ang