V1 HI V2 Given the circuit shown in figure 1 with component values R = 10 kN, C = 1 µF and L = 22mH. Voltage sources V₂ = 3 V (DC) and V₁ = 1.732 +j V (AC) with frequency f₁ [Hz] which is not yet defined. Assume the circuit has reached steady state (no transients in response). Determine the following using your phasors knowledge. All answers reported must be in the time domain. Fill in the corresponding section of the answer sheet: a) If frequency f₁ is set to 100 Hz, calculated the voltage over the resistor, capacitor, and inductor. Note there are two voltage sources in the circuit. b) If frequency f₁ is set to 2.5 kHz, calculated the voltage over the resistor, capacitor, and inductor. Note there are two voltage sources in the circuit. c) If we consider the resistor, capacitor and inductor as the load connected to the two voltage sources, at which frequency can the load be considered resistive (two decimal accuracy required)? d) If we consider the resistor, capacitor and inductor as the load connected to the two voltage sources, at which range of frequencies can the load be considered inductive (two decimal accuracy required)? e) If we consider the resistor, capacitor and inductor as the load connected to the two voltage sources, at which range of frequencies can the load be considered capacitive (two decimal accuracy required)?

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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V1
+
C
V2
R
Given the circuit shown in figure 1 with component values R = 10 kN, C = 1 µF and L = 22mH.
Voltage sources V₂ = 3 V (DC) and V₁ = 1.732 + j V (AC) with frequency f₁ [Hz] which is not yet
defined. Assume the circuit has reached steady state (no transients in response).
Determine the following using your phasors knowledge. All answers reported must be in the
time domain. Fill in the corresponding section of the answer sheet:
a) If frequency f₁ is set to 100 Hz, calculated the voltage over the resistor, capacitor, and
inductor. Note there are two voltage sources in the circuit.
b) If frequency f₁ is set to 2.5 kHz, calculated the voltage over the resistor, capacitor, and
inductor. Note there are two voltage sources in the circuit.
c) If we consider the resistor, capacitor and inductor as the load connected to the two
voltage sources, at which frequency can the load be considered resistive (two decimal
accuracy required)?
d) If we consider the resistor, capacitor and inductor as the load connected to the two
voltage sources, at which range of frequencies can the load be considered inductive
(two decimal accuracy required)?
e) If we consider the resistor, capacitor and inductor as the load connected to the two
voltage sources, at which range of frequencies can the load be considered capacitive
(two decimal accuracy required)?

Expert Solution

Step 1: Summarize the details given-

Given Data-

A series RLC circuit with,

AC voltage $V subscript 1 equals 1.732 plus j space text V end text$
DC voltage $V subscript 2 equals 3 space text V end text$
The passive components $open parentheses R comma space L comma space C close parentheses equals open parentheses 10 space text kΩ end text comma space 22 space text mH end text comma space 1 space text μF end text close parentheses$

To Find:

the voltages $open parentheses V subscript R comma space V subscript L comma space V subscript C close parentheses$ when. $f subscript 1 equals 100 space text Hz end text$ .
The voltages $open parentheses V subscript R comma space V subscript L comma space V subscript C close parentheses$ when $f subscript 2 equals 2.5 space text kHz end text$ .
Frequency for the circuit to be resistive.
The range of frequency for the circuit to be inductive.
The range of frequency for the circuit to be capacitive.

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