Question

Chapter 14, Problem 14.05 Find vo(t), t > 0, in the network in the figure below using node equations. (2/5) H vo(t) (1/5) F Find vo(t) att 1s the tolerance is +/-2%

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Answer 1

Sot given Circuit is A ra mm TO 215H I a). 7 st Walt) e ust) Vrt se - - Changing the Circuit in to s-domain Letust) o costs 2 (1645)= 1665) Lols= 25-35 3. The Circuit in s-domain is 1 ,19 $+) Apply Nocal Analysis at Rode © Vols) rocs 2+0.45 + 2+04 (st.) (240:45. => vina at 60%(F)- =) vois) 1 & + 2104) = (a)(2045) a wontent and the core > komersanta rece

las =) 1663)= 125 . (stDC ŠI55112:5). (st) (star5 f2.5) (512.575 using partial Fraction Gupansion 16095 A tet 2.5253* i5425525) A = 42Cs)x(st.) led = 12.5 xCSAD). CSFÓCS55+125) 785-) = 12.5 CG-555(+1) +255 1.47 B = 1665)* (st2sti 25) /s 2-2.5-525 = 12,5 x[s+25552.5)) 15-28-525 (st).st2:5 192.5) (s+2.5-52:53 = 125 E-2.5-52-57) (-2.5-3215425525) = 501735-50:441) 3* - 6-0.935+0.941) C: B* is the complese Conqueste 1.47 . (-0.735-50:441), (-0.735+50:44) 1.16033= wong + st) . Stars+)25 . Stas-52-5 Apply incese Laplace transfolens '(460)=7470/44776-0935-forum) E Let2.532.5) 2: +60735+50:44) EY Seson? 2 Volt)=147676-0.735-30.441) ēC2:5+25) +(-0.735+jo 44) 8(2.55j2:57 -215-j2is

= D E) = 1.47 L -ast-ja-st -2.5t-2.st -0.735e e -20.44e e (t) -2.5tr 4e - 2x0735e -0.7, Bemutate 25t250.walestijest NOCt = 1:47€ .0.73522.54 | ajasteizst] thought ist ( 225+ ejest) W tt)= puzet- 2x0785€ 25+ pelest ters] +zjxjouenst peizst enest 1600= 1.472 147e25tocest)-o-soze te nast .. Volt=147&t + @254(+143€(25+) -0-682.5incaste) Firen tal sec. 1-47 Cos (25)- 6.882 Sin(25) -2.5 -1 Vo CD = 1.47e'te! = 0.5407 + 0.08208 (-7.47X(-018011) – 0.882 x0.5%87 0.5487 + 0.08208 | 1.1776-052787 2 No a 0.594 V