In the circuit of Fig. 7.99, find i(t) for t> 0 if i(0) = 2 A.

Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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Chapter 7, Problem 19.
In the circuit of Fig. 7.99, find i(t) for t> 0 if i(0) = 2 A.
102
6 H
m
Figure 7.99
For Prob. 7.19.
Chapter 7, Solution 19.
10 S2
th
But i=i₂ + 1/2
i.e.
i₁ = 2i₂ =i
10i-1+2010
T=
0.51
=
1
' = 30 Ω
To find Rh we replace the inductor by a 1-V voltage source as shown above.
10i, -1+40i₂ = 0
and
L
R
Kth 30
=
6
i(t)= 2e-St.
40 2
= 0.2 s
"u(t) A
i₁
i₁
i=
i/2
1
30
1₂
1₂
40 Ω
Transcribed Image Text:Chapter 7, Problem 19. In the circuit of Fig. 7.99, find i(t) for t> 0 if i(0) = 2 A. 102 6 H m Figure 7.99 For Prob. 7.19. Chapter 7, Solution 19. 10 S2 th But i=i₂ + 1/2 i.e. i₁ = 2i₂ =i 10i-1+2010 T= 0.51 = 1 ' = 30 Ω To find Rh we replace the inductor by a 1-V voltage source as shown above. 10i, -1+40i₂ = 0 and L R Kth 30 = 6 i(t)= 2e-St. 40 2 = 0.2 s "u(t) A i₁ i₁ i= i/2 1 30 1₂ 1₂ 40 Ω
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