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 = 8τ. c. Find the mathematical expressions for the voltage vC and the current if the switch is thrown into position 3 at t =12τ. d. Find the mathematical expressions for the voltage vC and the current if the switch is thrown into position 1 at t =14τ. e. Find the mathematical expressions for the voltage vC and the current if the switch is thrown into position 2 at t =17τ. f. Find the mathematical expressions for the voltage vC and the current if the switch is thrown into position 3 at t =20τ. g. Plot the waveforms obtained in parts (a)–(f) Demonstrate all necessary steps, formulas and calculations properly.

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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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 = 8τ.
c. Find the mathematical expressions for the voltage vC and the current if the
switch is thrown into position 3 at t =12τ.
d. Find the mathematical expressions for the voltage vC and the current if the
switch is thrown into position 1 at t =14τ.
e. Find the mathematical expressions for the voltage vC and the current if the
switch is thrown into position 2 at t =17τ.
f. Find the mathematical expressions for the voltage vC and the current if the
switch is thrown into position 3 at t =20τ.
g. Plot the waveforms obtained in parts (a)–(f)
Demonstrate all necessary steps, formulas and calculations properly.

1
ic
4 mA
20
+
R5 kN
R,
10 μF UC
1 kN
R3
3 kN
3.
Transcribed Image Text:1 ic 4 mA 20 + R5 kN R, 10 μF UC 1 kN R3 3 kN 3.
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