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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Author:Robert L. Boylestad
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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
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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