In the circuit shown in Fig. 7.8, the initial currents in inductors L₁ and L₂ have been established by sources not shown. The switch is opened at t = 0. a) Find 1₁, 12, and i3 for t≥ 0. b) Calculate the initial energy stored in the parallel inductors. c) Determine how much energy is stored in the inductors as t→∞. d) Show that the total energy delivered to the resis- tive network equals the difference between the results obtained in (b) and (c). 8 A 3 4 A 3L₁ (5H) 3L₂ (20 H). Figure 7.8 A t = 0 4Ω de v(t) : 40 Ω {15 Ω 100

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In the circuit shown in Fig. 7.8, the initial currents in
inductors L₁ and L₂ have been established by
sources not shown. The switch is opened at t = 0.
a) Find i₁, i2, and is for t≥ 0.
b) Calculate the initial energy stored in the parallel
inductors.
c) Determine how much energy is stored in the
inductors as t→→∞.
d) Show that the total energy delivered to the resis-
tive network equals the difference between the
results obtained in (b) and (c).
8 A
L₁ (5H) L₂ (20 H).
Figure 7.8 A
t = 0
v(t)
Σ
4 Ω
: 40 Ω
Ω
{15 Ω
100
Transcribed Image Text:In the circuit shown in Fig. 7.8, the initial currents in inductors L₁ and L₂ have been established by sources not shown. The switch is opened at t = 0. a) Find i₁, i2, and is for t≥ 0. b) Calculate the initial energy stored in the parallel inductors. c) Determine how much energy is stored in the inductors as t→→∞. d) Show that the total energy delivered to the resis- tive network equals the difference between the results obtained in (b) and (c). 8 A L₁ (5H) L₂ (20 H). Figure 7.8 A t = 0 v(t) Σ 4 Ω : 40 Ω Ω {15 Ω 100
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