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that, to SH 2010 b Given vet) = ? (t)=? - V. + .
18v ② 2 8 tot 15v long time. At t<o, as switch is closed for a So, capacitor will open circuit Bч аrеluty 18+ 2si 2+1 voltage division walls VCOJ = 3 x18 = 12v As capacitoo's voltage can not change instantaneously So, O (O)= 0 (0) = QU O At tso, circuit will be 2002 Loomu zásF+ 12v ☺ Laplace transforms, 55 2012 Now, converting it into $ 15 -201(s) – 55 ICs) LA ICA)-12-0 2 + Is =(20+55 +33) ICS) IC) endorsedo 3 I(8) = 50 Florest 53²+205720
on taking inverse Laplace Transform, [i(t) = 3 e 2to(t) - where reti= ramp signal icts = 3 te stult) Up (t) = zoxi(t) = 80x3 te-atuct) . Vect) = 12 te-tucts Oft) = Voltage across capacitor = < ſ ict at = 20$ tertult) = dos textet V(t) = 2043 {{tezt text] =3[-8test dette? vlt) = 3 [1-ext_ate 2677
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