a. Find the mathematical expressions for the transient behavior of thevoltage vc and the current ic if the capacitor was initially unchargedand the switch is thrown into position 1 at t= 0 s.b. Find the mathematical expressions for the voltage vc and the current icif the switch is moved to position 2 at 1 = 3 ms.c. Find the mathematical expressions for the voltage vc and the current if theswitch is thrown into position 3 at 1 =5 ms.d. Find the mathematical expressions for the voltage ve and the current if theswitch is thrown into position 1 at t =7 ms.e. Find the mathematical expressions for the voltage vc and the current if theswitch is thrown into position 2 at 1 =15 ms.f. Find the mathematical expressions for the voltage vc and the current if theswitch is thrown into position 3 at 1 =20 ms.g. Plot the waveforms obtained in parts (a)–{f)Demonstrate all necessary steps, formulas and calculations properly.Also, redraw the circuit diagram for all three switch positions.R1ic20 kN2093EE12 VR2:0.05 µF vc10 k.

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a. Find the mathematical expressions for the transient behavior of the

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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Concept explainers

Fault Analysis

In an electrical engineering system, a fault is an abnormal electric current flowing through the system, and fault analysis is the study of these faults. For instance, a short-circuit is a fault where the live wire touches the ground or neutral wire. If a circuit is interrupted by a failure of a current-carrying wire then an open circuit fault occurs. The open-circuit faults are also called series faults. One or more phases or ground may be involved in a three-phase fault or may occur only between two phases. Current flows into the earth in case of a ground fault or earth fault. For most situations, the prospective short circuit current of a fault that is predictable can be calculated. To limit the loss of service because of a failure, the protective devices can detect fault conditions and operate circuit breakers and also other devices. All phases equally can be affected in a poly-phase system which is known as symmetric electrical fault. The asymmetric fault becomes more complicated to analyze if only some phases are affected. By using methods such as symmetrical components, the power system analysis of these types of faults is often simplified. The main objective of power system protection is to design, detect, and interrupt power system faults.

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 1 = 3 ms.
c. Find the mathematical expressions for the voltage vc and the current if the
switch is thrown into position 3 at 1 =5 ms.
d. Find the mathematical expressions for the voltage ve and the current if the
switch is thrown into position 1 at t =7 ms.
e. Find the mathematical expressions for the voltage vc and the current if the
switch is thrown into position 2 at 1 =15 ms.
f. Find the mathematical expressions for the voltage vc and the current if the
switch is thrown into position 3 at 1 =20 ms.
g. Plot the waveforms obtained in parts (a)–{f)
Demonstrate all necessary steps, formulas and calculations properly.
Also, redraw the circuit diagram for all three switch positions.
R1
ic
20 kN
20
93
EE12 V
R2
:0.05 µF vc
10 k.

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