Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN: 9780133923605
Author: Robert L. Boylestad
Publisher: PEARSON
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Textbook Question
Chapter 4, Problem 19P
- Plot the I-V characteristics of a
- and a
- resistor on the same graph. Use a horizontal axis of 0 to 20 V and a vertical axis of 0 to 10 mA.
- Comment on the steepness of the curve with decreasing levels of resistance.
- Are the curves linear or nonlinear? Why?
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Introduction
The circuit of Fig. 1 is required to be modeled using a state - space representation, where 2
states will be used, based on the number of the energy - storing elements of the circuit, the
capacitor and the inductor.
u(t)
+
ΙΩ
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13
F
5 Ω it (t)
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vc(t) 1 H
Figure 1: LCR circuit
The input signal to the circuit is the voltage u(t) in Volts and the output signal is the voltage
across the capacitor, vc(t).
Questions
1. Choice of system states:
Choose appropriate signals for the 2 states of the
system.
x₁(t) = i₁(t)
x₂ (t) =
5. State transition matrix:
(t), which is defined as,
Calculate analytically the state transition matrix
(t) = et = L¯¹{(sI – A)¯¹}
Show that the answer is the following,
1
e-4t cos(√2t) -
e-4 sin(√2 t)
1
e
-4t
√2
(t) = et
-3
1
-4t sin (√2 t)
e
COS
-4t cos (√2t) + -
e
sin(√2 t)
2-4t sin(√2 t)|
Calculate the following:
(SI - A)-1=
Use the completion - in - the-square technique (CASE 3) to calculate the inverse Laplace:
L¯¹{(SI - A)¯¹} =
A single-core cable working on 66 kV has a conductor diameter of 2 cm and the sheath of inside diameter
is 10 cm. If two metallic intersheaths of diameters 5 cm, 8 cm respectively are used for grading the cable.. If
the maximum electric stress is the same for each layers.
1- Find the voltage of each metallic intersheaths.
2- Find the thickness of each layers.
Chapter 4 Solutions
Introductory Circuit Analysis (13th Edition)
Ch. 4 - What is the voltage across a 220 resistor if the...Ch. 4 - What is the current through a 2.20 resistor if the...Ch. 4 - How much resistance is required to limit the...Ch. 4 - At starting, what is the current drain on a 12 V...Ch. 4 - If the current through a 100k resistor is 3.6A...Ch. 4 - If a voltmeter has an internal resistance of 50k...Ch. 4 - If a refrigerator draws 2.2 A at 120 V, what is...Ch. 4 - If a clock has an internal resistance of 8k find...Ch. 4 - A washing machine is rated at 4.2 A at 120 V. What...Ch. 4 - A CD player draws 80 mA when 4.5 V is applied....
Ch. 4 - The input current to a transistor is 20A If the...Ch. 4 - Prob. 12PCh. 4 - If an electric heater draws 9.5 A when connected...Ch. 4 - In a TV camera, a current of 5.6 mA passes through...Ch. 4 - Plot the curve of I (vertical axis) versus...Ch. 4 - Plot the I-V curve for a 5 and a 20 resistor on...Ch. 4 - Prob. 17PCh. 4 - Sketch the internal resistance characteristics of...Ch. 4 - Plot the I-V characteristics of a 1k,10k, and a 1M...Ch. 4 - If 540 J of energy are absorbed by a resistor in...Ch. 4 - The power to a device is 40 joules per second...Ch. 4 - How many joules of energy does a 8 W nightlight...Ch. 4 - How long must a steady current of 1.4 A exist in a...Ch. 4 - What is the power delivered by a 12 V battery if...Ch. 4 - The current through a 4k resistor is 7.2 mA. What...Ch. 4 - The power consumed by a 2.2k resistor is 240 mW....Ch. 4 - What is the maximum permissible current in a 82,...Ch. 4 - The voltage drop across a transistor network is 22...Ch. 4 - If the power applied to a system is 10 kW, what is...Ch. 4 - A 1 W resistor has a resistance of 4.7M . What is...Ch. 4 - A 2.2k resistor in a stereo system dissipates 42...Ch. 4 - What are the hot resistance level and current...Ch. 4 - What are the internal resistance and voltage...Ch. 4 - A calculator with an internal 3 V battery draws...Ch. 4 - A 20k resistor has a rating of 100 W. What are the...Ch. 4 - What is the total horsepower rating of a series of...Ch. 4 - A 10 resistor is connected across a 12 V battery....Ch. 4 - How much energy in kilowatthours is required to...Ch. 4 - How long can a 1500 W heater be on before using...Ch. 4 - A 60 W bulb is on for 10 h. a. What is the energy...Ch. 4 - In 10 h an electrical system converts 1200 kWh of...Ch. 4 - At 12/kWh how long can you play a 250 W color...Ch. 4 - The electric bill for a family for a month is...Ch. 4 - How long can you use an Xbox 360 for $1 if it uses...Ch. 4 - The average plasma screen TV draws 339 W of power,...Ch. 4 - The average PC draws 78 W. What is the cost of...Ch. 4 - If a house is supplied with 120 V, 100 A service,...Ch. 4 - What is the total cost of using the following at...Ch. 4 - What is the total cost of using the following at...Ch. 4 - Prob. 50PCh. 4 - The motor of a power saw is rated 72% efficient....Ch. 4 - What is the efficiency of a dryer motor that...Ch. 4 - A stereo system draws 1.8 A at 120 V. The audio...Ch. 4 - Prob. 54PCh. 4 - Prob. 55PCh. 4 - An electric motor used in an elevator system has...Ch. 4 - The motor used on a conveyor belt is 85%...Ch. 4 - Prob. 58PCh. 4 - The overall efficiency of two systems in cascade...Ch. 4 - What is the total efficiency of three systems in...Ch. 4 - If the total input and output power of two systems...Ch. 4 - Using PSpice 0r Multisim, repeat the analysis of...Ch. 4 - Using PSpice or Multisim, repeat the analysis of...
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