Find i and v, in the circuit of Fig. 7.15. Let i(0) = 5 A. Practice Problem 7.3 42 Answer: 5e4 V, -20e4 V. 12 2H 2v Figure 7.15 For Practice Prob. 7.3. The switch in the circuit of Fig. 7.16 has been closed for a long time. At t 0, the switch is opened. Calculate i(t) for t> 0. Example 7.4 t=0 2Ω 4Ω Solution: When t< 0, the switch is closed, and the inductor acts as a short circuit to de. The 16-2 resistor is short-circuited; the resulting circuit is shown in Fig. 7.17(a). To get i, in Fig. 7.17(a), we combine the 4-2 and 12-2 resistors in parallel to get i(1) 40 V 12 2 16 2 2 H ww

Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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luan
(D Page view
A Read aloud
V Draw
7.3
The Source-Free RL Circuit
263
Since the inductor and the 2-2 resistor are in parallel,
(1)
= -1.6667e-(2/3)t A.
t > 0
%3D
Find i and v, in the circuit of Fig. 7.15. Let i(0) = 5 A.
Practice Problem 7.3
4Ω
Answer: 5e"V,-20e4 V.
12
2 H
.4Ω
2v
Figure 7.15
For Practice Prob. 7.3.
The switch in the circuit of Fig. 7.16 has been closed for a long time.
At t = 0, the switch is opened. Calculate i(t) for t > 0.
Example 7.4
t = 0
2Ω
4Ω
Solution:
When t< 0, the switch is closed, and the inductor acts as a short
circuit to dc. The 16-2 resistor is short-circuited; the resulting circuit
is shown in Fig. 7.17(a). To get i, in Fig. 7.17(a), we combine the 4-2
and 12-2 resistors in parallel to get
i(1)
40 V
I 12 2
E 162
2 H
ll
Transcribed Image Text:luan (D Page view A Read aloud V Draw 7.3 The Source-Free RL Circuit 263 Since the inductor and the 2-2 resistor are in parallel, (1) = -1.6667e-(2/3)t A. t > 0 %3D Find i and v, in the circuit of Fig. 7.15. Let i(0) = 5 A. Practice Problem 7.3 4Ω Answer: 5e"V,-20e4 V. 12 2 H .4Ω 2v Figure 7.15 For Practice Prob. 7.3. The switch in the circuit of Fig. 7.16 has been closed for a long time. At t = 0, the switch is opened. Calculate i(t) for t > 0. Example 7.4 t = 0 2Ω 4Ω Solution: When t< 0, the switch is closed, and the inductor acts as a short circuit to dc. The 16-2 resistor is short-circuited; the resulting circuit is shown in Fig. 7.17(a). To get i, in Fig. 7.17(a), we combine the 4-2 and 12-2 resistors in parallel to get i(1) 40 V I 12 2 E 162 2 H ll
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