Question

Question 1 Given the following information about a 2nd order transient circuit, solve for the coefficient an in the capacitor voltage + vc (0)for t>0. : (t) = e sunt Uc * (asje**v2= ext/85) + a2e C = 4 mF Vcl0+) = 2v Vc(infinity) = 5 V ic(0+) = 5 A Wo = 46 rad/sec zeta = 2.72

Answer 1

422072 Com= 46 Watter **V7-) + + Vc60) -quent (a, e + Le V (E) г е (Li +22) + Velo) V(0) = 2 2, +42 +5 -3 X, +42 Iz cdr at I log2 cavo) at wn - qwne -& wat 2 au at (x, e isteri '+ Settres) e flat [ k, want het water - 4 wnięcie dro) -{wn (x, +22) + [x, wnięzi - 2, wnd &²) at c dvo) ar Ec[ Indę =) c[ X, (& wntwntę? )]+ X (-qwnown dit225.12+116.3572) +22 (-125012-116.3572) 40 (-8.76284, = 241.477242) c d V(o) = at - 350.5122, - 9659.08842 5

2 ② ¢ eq We eqe solving get , : -3. 1124 0.112427 La