a. Find the mathematical expressions for the transient behavior of the voltage vC and the current iC if the capacitor was initially uncharged and the switch is thrown into position 1 at t = 0 s. b. Find the mathematical expressions for the voltage vC and the current iC if the switch is moved to position 2 at t = 3 ms. c. Find the mathematical expressions for the voltage vC and the current if the switch is thrown into position 3 at t =5 ms. d. Plot the waveforms obtained in parts (a)–(c) Demonstrate all necessary steps, formulas and calculations properly.
a. Find the mathematical expressions for the transient behavior of the voltage vC and the current iC if the capacitor was initially uncharged and the switch is thrown into position 1 at t = 0 s. b. Find the mathematical expressions for the voltage vC and the current iC if the switch is moved to position 2 at t = 3 ms. c. Find the mathematical expressions for the voltage vC and the current if the switch is thrown into position 3 at t =5 ms. d. Plot the waveforms obtained in parts (a)–(c) Demonstrate all necessary steps, formulas and calculations properly.
Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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Question
a. Find the mathematical expressions for the transient behavior of the voltage vC and the current iC if the capacitor was initially uncharged
and the switch is thrown into position 1 at t = 0 s.
b. Find the mathematical expressions for the voltage vC and the current iC
if the switch is moved to position 2 at t = 3 ms.
c. Find the mathematical expressions for the voltage vC and the current if the switch is thrown into position 3 at t =5 ms.
d. Plot the waveforms obtained in parts (a)–(c)
Demonstrate all necessary steps, formulas and calculations properly.
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![Calculation
The capacitor is initially uncharged
The switch is moved to position 1 for a time of 5t
The switch is then moved to position 2 for a time of 5t
□ Sketch the waveforms of Vc, VR and I labelling all points
of significance
R = 1kQ
VR
+E
C = 10µF
10V
Vel
R₂
4kQ](https://content.bartleby.com/qna-images/question/278917bd-7ed8-4ebe-8510-737d378b0b11/7ce2fc52-f71d-48f0-98a1-d9d4dc7c2f53/njf1mq5t_thumbnail.png)
Transcribed Image Text:Calculation
The capacitor is initially uncharged
The switch is moved to position 1 for a time of 5t
The switch is then moved to position 2 for a time of 5t
□ Sketch the waveforms of Vc, VR and I labelling all points
of significance
R = 1kQ
VR
+E
C = 10µF
10V
Vel
R₂
4kQ
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