Question

Problem-4: Find a) the transfer function using “Direct Method” if the input is e(t) and the output is eo. For parts b and c, take C = R=1. b) If e(t) = 15, use FVT (if applicable), to determine the steady state value of the zero-state response [(eo)zs]ss. c) If ei(t) = 3cos(2t + 7/3), find steady state response, (eo)ss. * Tivhinois eo Сео

Answer 1

Given circuit R=12 - Rain alf Coco aluse the aplaca transform Im Try GUIO - T s cors al Apply nude voltage method at noe v v-;(5) V+ Viso + 7 īs its V-6; (5) + SV + SV = 0 SI (5+1) V +5(Stil V + SV - (54170; () SV + V + SYV + SV + SV - (511) excs/ ($+35+1) V- (511) 2;(5). v = (5+1) Eicsi s'135+1

For firring Cols) apply Voltage division Tule Cos) = Šv - 1+1 -I S+ st eics SW 35+1 Cors) - 5435+1 ASSU! - eieso ) Pilt) = 15 Ci(3) = 15 Coll) - - fi(s) - is $ 435+1 SU435+1) Steady - Slote Value - It s. cock) - 570 - lt 15 5-70 5654 35+1) = 15 9. Given filt = 3 cos (at + 11/3) On applying cos function to the ltl system, the And it frequeng function remains same but its magnitude and phase changes (lolss = 3M Cos (at + Tk+) y le e; co-son) for world W2 H-Wt 3JWEL w1 OJU TU wal W-2

M = 1 4 toj til lestrol 13446 19736 Ø = A4 - 1346) E-[180°- tan' (1) E-[180º- tanilan) = -180° + tanical = - | + tan'(a) ..( lorsilss ( Cocslles 3 cos (at +Tuz - T1 + tan|(21) There are cos (at – 271+ tanta)