Electrical Network Homework 1 Second Class: 2024/2025 Part One Q1/ The current and voltage at the terminals of the inductor in the circuit in Figure 1 are: |i(t) = (4+4e-40t) A, v(t) = (-80e-40t) V, t≥ 0+ a) Specify the numerical values of Vs, R, Io, and L. b) How many milliseconds after the switch has been closed does the energy stored in the inductor reach 9 J? R + L3v(t) Figure 1 Q2/ Find v(t) for 1>0 in the circuit of Figure 2. Assume the switch has been open for a long time and is closed at = 0. Calculate v(t) at t=0.5. t=0 602 ww 202 ww 15 V+ F Figure 2 7.5 V Q3/ The switch in the circuit shown in Figure 3 has been closed for a long time. The switch opens at t=0. Find vo(t) for t≥ 0. 300 Ω ww 80 Ω w 100 Ω w 100 Ω ww 2002 31.25 μF 100 V 1=0 200 mH Vo Figure 3 Q4/ Having been in position (a) for a long time, the switch in Figure 4 is moved to position (b) at t=0. Find v(t) and vx(t) fort > 0. 192 ww a b 2.5 H 10 Ω Ꮕ m ww t=0 - VR +

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Electrical Network
Homework 1
Second Class: 2024/2025
Part One
Q1/ The current and voltage at the terminals of the inductor in the circuit in Figure 1 are:
|i(t) = (4+4e-40t) A,
v(t) = (-80e-40t) V,
t≥ 0+
a) Specify the numerical values of Vs, R, Io, and L.
b) How many milliseconds after the switch has been closed does the energy stored in the
inductor reach 9 J?
R
+
L3v(t)
Figure 1
Q2/ Find v(t) for 1>0 in the circuit of Figure 2. Assume the switch has been open for a long
time and is closed at = 0. Calculate v(t) at t=0.5.
t=0
602
ww
202
ww
15 V+
F
Figure 2
7.5 V
Q3/ The switch in the circuit shown in Figure 3 has been closed for a long time. The switch
opens at t=0. Find vo(t) for t≥ 0.
300 Ω
ww
80 Ω
w
100 Ω
w
100 Ω
ww
2002
31.25 μF
100 V
1=0
200 mH
Vo
Figure 3
Q4/ Having been in position (a) for a long time, the switch in Figure 4 is moved to position
(b) at t=0. Find v(t) and vx(t) fort > 0.
192
ww
a
b
2.5 H
10 Ω
Ꮕ
m
ww
t=0
- VR
+
Transcribed Image Text:Electrical Network Homework 1 Second Class: 2024/2025 Part One Q1/ The current and voltage at the terminals of the inductor in the circuit in Figure 1 are: |i(t) = (4+4e-40t) A, v(t) = (-80e-40t) V, t≥ 0+ a) Specify the numerical values of Vs, R, Io, and L. b) How many milliseconds after the switch has been closed does the energy stored in the inductor reach 9 J? R + L3v(t) Figure 1 Q2/ Find v(t) for 1>0 in the circuit of Figure 2. Assume the switch has been open for a long time and is closed at = 0. Calculate v(t) at t=0.5. t=0 602 ww 202 ww 15 V+ F Figure 2 7.5 V Q3/ The switch in the circuit shown in Figure 3 has been closed for a long time. The switch opens at t=0. Find vo(t) for t≥ 0. 300 Ω ww 80 Ω w 100 Ω w 100 Ω ww 2002 31.25 μF 100 V 1=0 200 mH Vo Figure 3 Q4/ Having been in position (a) for a long time, the switch in Figure 4 is moved to position (b) at t=0. Find v(t) and vx(t) fort > 0. 192 ww a b 2.5 H 10 Ω Ꮕ m ww t=0 - VR +
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