Question

find i0+. i'0+ and DE for t>0

0.25 7= 2 Bulesa o uc-ov

Answer 1

Que? Find hot, trot) and DE for tro, -m2H 2 301) 304) 06 0(-+) V 0-25 F - For tão for at t=0-) the circuit is in steady state so the inductor replace by short circuit and inductor behaves as ofen circuit in steady state condition. after redrawing the circuit — 80 30(t)=0.1 € UH)=51, +30 current lo, to - sourd replace t Ul-t)= so, >0 by open circuit 11,tso Vlo) & sour gov V(0)= 6V applying KVL in loop o~ 2460)+6 = 0 (10) = -6 = -3 amp. i lot)= (0) = -3 amb (because inductor does not allow the sudden change in currente

at trof - after redrawing the circuit -- 3014)= 3 because U(4)= 4 for t so Gv c = 03 606-4)=0 because Uletto for t>0 so vloge source replace by short circuit. . .. VL = 6 Volt [{ because parallel connected component has GV @ $2 @ 3 v03 same veltage} we know that ev q I → V= L dillots di (ot)= i'cot)= { pirot) = Bampit = zamb For t>o ² 2H рамо rame heat Summa if no potential difference between any node that it will consider as a same node v 2 @ 3 0:25F at node ① - applying nodal analysis

4 + R -3+ 5 = O =0 we Anow that – det cay = 025 = +fudt = 1 h Sudt iR = K = K but the value of ic ip the in equation on 0.25dy + ♡ - 3 + <fvet = 0 differenciate the above equation wrt: + -O + I V = 0 0-25 dv., + Idv d+2 + ½ du dt 025 div. + y + = 0 the hot 22025 de mayo 25 =0 ď V + 2 dv+2V=0 d+2 . dt