Ex: Determine i(t) for t> 0 in the circuit of Fig When t <0 3kA 200MH ww 2ka 15+10 %3D = 5mA 2k+3k vcco) = 15 – (2k)(5mA) 15 V 0.2uF 10 V vc(0) = 5 V %3D

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ISBN:9780133923605
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In the question also drawing of the
Initial and final
electrical circuit
Ex: Determine i(1) for t> 0 in the circuit of Fig
In
When t <0
6k 2
tion
15+10
2ka
hen
= 5mA
3ka 200mH
%3D
2k+3k
vc0) = 15 – (2k)(5mA)
15 V
+ 0.2uF
10 V
Vc(0) = 5 V
When t 20
hen
= 36 = 2kn
2
a =
2L
2x103
2x200x10-3
= 5000,
1
1
Wo =
%3D
VLC (200 x 10-3)(0.2 x 10
= 5000
Critically damped (a = w.)
VE
io = Ip + (D,t+ D2) e-at
Ip = 0
ico) = IF + D2 5x 10-3 = 0 + D2 → D2 = 5 x 10-3
WA
dio
dio
= D1-a D2 , but
dt
0:
dt
la
By using KVL find v
-vc + VR + vL- 10 = 0 → -5+ (2K)(5mA) + v – 10 = 0
v = 5 V
dio
5.
= 25 A/S
%3D
dt
200x10-3
25 = D1- (5000)(5 x 10-3) → D = 50
io = 0+ (50t +5 x 10-3) e-5000t
Lank eom/Eng.ahmed.shehab3
Transcribed Image Text:In the question also drawing of the Initial and final electrical circuit Ex: Determine i(1) for t> 0 in the circuit of Fig In When t <0 6k 2 tion 15+10 2ka hen = 5mA 3ka 200mH %3D 2k+3k vc0) = 15 – (2k)(5mA) 15 V + 0.2uF 10 V Vc(0) = 5 V When t 20 hen = 36 = 2kn 2 a = 2L 2x103 2x200x10-3 = 5000, 1 1 Wo = %3D VLC (200 x 10-3)(0.2 x 10 = 5000 Critically damped (a = w.) VE io = Ip + (D,t+ D2) e-at Ip = 0 ico) = IF + D2 5x 10-3 = 0 + D2 → D2 = 5 x 10-3 WA dio dio = D1-a D2 , but dt 0: dt la By using KVL find v -vc + VR + vL- 10 = 0 → -5+ (2K)(5mA) + v – 10 = 0 v = 5 V dio 5. = 25 A/S %3D dt 200x10-3 25 = D1- (5000)(5 x 10-3) → D = 50 io = 0+ (50t +5 x 10-3) e-5000t Lank eom/Eng.ahmed.shehab3
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