what is I (0¯)?
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
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Question
![Switch is at A
t=18
VA
10V
1. Starting from the initial time, i.e., t = -∞, the switch is at point A. The voltage source
started to charge the inductor.
2. Next, at t= 0, which is the time instant just before t = O. At this time instant, the switch
is still at point A, and the inductor is in a steady state, so it is equivalent to a short circuit.
So what is I (0)?
Hint: you can redraw the circuit at this time, replacing the inductor with a short circuit.
O OA
0 1 A
O2 A
3 A
two t=0
R 100
t=0
M
t=48
Switch is at B
Iz (07)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F12c62ea9-2423-4a35-a6cd-74646c6bbd41%2Fda9410b2-0b5a-4737-ae75-295d0f956334%2F64m4yj_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Switch is at A
t=18
VA
10V
1. Starting from the initial time, i.e., t = -∞, the switch is at point A. The voltage source
started to charge the inductor.
2. Next, at t= 0, which is the time instant just before t = O. At this time instant, the switch
is still at point A, and the inductor is in a steady state, so it is equivalent to a short circuit.
So what is I (0)?
Hint: you can redraw the circuit at this time, replacing the inductor with a short circuit.
O OA
0 1 A
O2 A
3 A
two t=0
R 100
t=0
M
t=48
Switch is at B
Iz (07)
![For an RL circuit in Transient analysis, the current on the inductor follows:
Iz (t) = K₁ + K₂ e
4
R
To solve for IT (t), we need to know three parameters, i.e., K₁, K2, T.
By observing the above expression, we find out that:
IL (0)= K₁ + K2, IL (+00) = K₁.
Now, we need to find values of IL (0), IL (+∞).
In the following circuit, the switch is turned from A to B at t=0.
VA
10V
44
A
T
B
R 100
m
VR(t)-
Similar to RC transient analysis, let draw a time axis.
Switch is at A
v₁(t)
Switch is at B
t = 0 t = 0+
immt
L 10H](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F12c62ea9-2423-4a35-a6cd-74646c6bbd41%2Fda9410b2-0b5a-4737-ae75-295d0f956334%2F6euy1vm_processed.jpeg&w=3840&q=75)
Transcribed Image Text:For an RL circuit in Transient analysis, the current on the inductor follows:
Iz (t) = K₁ + K₂ e
4
R
To solve for IT (t), we need to know three parameters, i.e., K₁, K2, T.
By observing the above expression, we find out that:
IL (0)= K₁ + K2, IL (+00) = K₁.
Now, we need to find values of IL (0), IL (+∞).
In the following circuit, the switch is turned from A to B at t=0.
VA
10V
44
A
T
B
R 100
m
VR(t)-
Similar to RC transient analysis, let draw a time axis.
Switch is at A
v₁(t)
Switch is at B
t = 0 t = 0+
immt
L 10H
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