Question

Solving for The switch in the circuit below has been closed for a long time and it opens at t = 0. Find the following:

1. The switch in the circuit below has been closed for a long time and it opens at t = 0. Find the following: (a) (20 points) v(0%), and v.(0%) for t < 0. (b) (20 points) v(t), and vo(t) fort > 0. vo(t) 1k0 6.25 1F = v(t)

for b) can you solve it without using Laplace transform? As in no s domain, thank you

Answer 1

a § 3KL 2ka vile 36V & IT [ 6.254 (a) a at tao switch is at closed possition cirusit se connected with source forum long time so capacitor u charged and act as open circuite alto t Joker {3K2 -- Vot STK2 Volt 664 & 3K-2 are in parallel 6x32k2 6+3 2KR 36v to) vo Vló): 36 x L 1+2 vol = 12v Volo)=36v is open so circuit is at tzot switch - source free at t:ot L бел 3 3л 3610 SHKA ③ vol GK2 & 3kr are in parallel : 2K-2

Froe NC Viot) = 12V Volot) - Vlot) x 2 2+2 = Volot)=6v at t=oo; capacitor is discharge Vo100) - OV V100) - OV 12 * E2k2 Rina 111 (272) . - 1x4 = 0. 8k2 ity ez Ren c = 08X 1000 X 60 25x10-6 ca 5x10-3 see vit) - VLO) + [V(ot) - VLO0)7e-te = 0 +(12-0) e-t75x10-3 VH) = 12e-200+ vi tyo Vot) - VoLoo) + [ Vocot) - V. (60) Je-tle = 0+ (6-0)e-2007 Vot) = 6e-200€ v ito