Question

04: The switch in the has been open a long time before closing at t=0. Find 1,(() for t> 0. 131 -62.5H 2.5 1F

Help me know please , I have an exam its time 20 minutes

Answer 1

t-o u 262.54 15V It to- opposite direction of suutch, - se C-0.c. + Vrol Isv 180-1 EL (0) = -Is - GMA 2.5k Vco) = ov. 910J = {(ot) = -614 cact in Laplace domain - Veloj = velot) = Ov. tro Ls Liclot) Ion J Ls 1 15 LI. switch direction- V 2.5K -.375 9m 12.5xlis ulu 62.559 Kel V-375 vt lsls + 62.55 3x10? 2.5k + 2,5x108s

0.016 0.4x100 +2.5x1 3 9 V + + -15 2.5KXS { S 2:5*7*$? » asarid to un's toobe} -SME + Ski 2.54183 +0.4x10 st 0.016 's? + 1605 + 6400) 2.5x16 m/ 7103 VE 1200 SP + 160 3+6400 IL (S = V- .375 62.55 .375 1200 s ² + 160 st 6400 62.55 Gos-2400 Ils 2 TALS= 1200 - .3755 62.55 (s²+160 546400) (s? +1605 + 3200).GR CO? sest 160 st 6400) I (SJ 6x103 (3²71605+3200) SC.5+80) ? Using Rantical fraction method. N

с I'S A S + alu f B s +80 (8.48012 A=-3x103 3 B = 18x 10 -1.2. 3 I (s) = - 3x10 18 X10 (1.2) (8+80)2 S stoo Using Inverse Laplace Transform- 1 ( =(-3x103 - 18x103 - 80t _1.2 de rot Jean - 188103 - 1-2te 80d) uch -3 sot (H = (-3x10

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