Question

also, please solve for Vc(t) using laplace transforms

For the following circuit, solve for ve(t). 21 pts 8. 10 0.IF E SH t (o) 2. S pts) (a) Draw the Laplace circuit. List 2-3 methods for solving the circuit, choose one, and briefly indicate why. 의m

Answer 1

Given:- 0IF a) Laplae ciruuil:- Vx (a) V¿ (31) Vc -O.IF -Apply goclal analysis at ve VC- Vs 101s 10/3 3 (V. - Vs %3D 10 3Ve 3vs Ve 10 10 1o ] 55 Ve 3 Vs 55 10 155+10+ Ss 의n ule

585 I551 10+55 Ś(354345) Vso) s+35+2 ut) = 10 f3) tzo 1o Ý Lt)= 10 [ ult) – ult-2)] Laplau trans foim is ī = ((1)7) 7 L (ult-2)) = 1 -25 finally vs cs) 1o(*") 10 01 -25 -e "(:g") V c) = 10 s'+3142 30 (1-e-3) 30 (1- ) (st1) (st2) s't35+2

Ve cs)= e"), -25 30 (1-e 30 (1-. S+2 -25 = 30 st2 St2 by using invense laplace we can slove Velt) L'{} = euct) Sti -2t -c ult) c' { }= ¿"uu) S+2 -25 (t-2) ult-2) { } -25 { - 2 (t-2) ult-2) S+2 V, ct) = 30 [ et ult) - e -26 %3D ult -t-2) u (t-2) e-2 (t2) ult-1)] (Because of this wle get vesul b .earily,).