Question

Solve for I.(t) fort >0 as the switch moves from 20 V voltage source to 150 mA current source for t>0. t=0 R=2000 IL R2 Vs1 20V 10uF 100 L (1/4.1) H 150 mA

Answer 1

when Source 20v from the The switch is al The given رامینگور) Circuit uder steedy slote Condition Inductor acto short Circuit which, mako I also Shorled. Capacitor acts open circuit 2oon 6) 20 (o (5) Sov ų (6) o Now the switch is moved 150mA source, drown The laplace domain cirant 2002 ful u to loon let Vol) be the noch voltage ISX10 S Applying KCL node Holi) - 150x10? Voli) s 100 + - ا . (یا ا ول

4.1 (15000 - 10000s) = A (541035 +41x105) - ste)s 61500 - 41000s = A st 10 As t u 1105A tistics Comparing constants 4.1x105A = 61500 61500 Lilxor A cor15 Comparing s- co-efficient, 10 Atc = -4,000 C - 41000 - 103A C = – 41000 - 10 tour C = - 4150 Comparing S2 Co efficients A+B co B = -A B = -0.15 IG) A B.15 x S S sto steix گرا با 324 10 stuilxlot

I W) = 0.15 s 4 41190 (S+500)+(400g 015 S (s+500)²+(400)? 0.15 -0.15 4orco x 400 (6+500) 7 (400) 2 (s & sw) ²+ (400) 9 x 100 I 6 = LOD S 102.815 0.15 s - 0.15 $+500) 7 (400) 2 (S+500) + (you) Taking Inverse laplace transform - soot -root Lt) = 0.15 0.15 Cos (4oot) - 102.815 é "Sin (nook) 5oot ů 4) = 0.15-015 sout Cos (yoot) - 102.875 é sin (noot) A