Fundamentals of Electric Circuits
6th Edition
ISBN: 9780078028229
Author: Charles K Alexander, Matthew Sadiku
Publisher: McGraw-Hill Education
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Textbook Question
Chapter 1, Problem 4P
A total charge of 300 C flows past a given cross section of a conductor in 30 seconds. What is the value of the current?
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a) In terms of n and p, how many state variables and how many inputs can you see in the
system below?
dx1
=-7x1 + x2 + 5u1
dt
dx2
=-11x1+x3 + 2u1
dt
dx3
= -8x16u1
dt
b) Derive the state space representation for the above system
c) Determine whether the system is stable or not.
Question 2 (20 points)
a) In terms of n and p, how many state variables and how many inputs can you see in the
system below?
dx1
dt
=x1-
2x2
dx2
= 3x1 - 4x2
dt
b) Derive the state space representation for the above system
c) Determine whether the system is stable or not.
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Chapter 1 Solutions
Fundamentals of Electric Circuits
Ch. 1.3 - Calculate the amount of charge represented by...Ch. 1.3 - Prob. 2PPCh. 1.3 - The current flowing through an element is i= 4A...Ch. 1.5 - To move charge q from point b to point a requires...Ch. 1.5 - Find the power delivered to the element in Example...Ch. 1.5 - A home electric heater draws 10 A when connected...Ch. 1.6 - Figure 1.16 For Practice Prob. 1.7 Compute the...Ch. 1.7 - If an electron beam in a TV picture tube carries...Ch. 1.7 - Referring to the residential rate schedule in...Ch. 1 - One millivolt is one millionth of a volt. (a) True...
Ch. 1 - The prefix micro stands for: (a) 106 (b) 103 (c)...Ch. 1 - The voltage 2.000,000 V can be expressed in powers...Ch. 1 - A charge of 2 C flowing past a given point each...Ch. 1 - The unit of current is: (a) coulomb (b) ampere (c)...Ch. 1 - Voltage is measured in: (a) watts (b) amperes (c)...Ch. 1 - Prob. 7RQCh. 1 - The voltage across a 1.1-kW toaster that produces...Ch. 1 - Which of these is not an electrical quantity? (a)...Ch. 1 - The dependent source in Fig. 1.22 is: (a)...Ch. 1 - How much charge is represented by these number of...Ch. 1 - Determine the current flowing through an element...Ch. 1 - Find the charge q(t) flowing through a device if...Ch. 1 - A total charge of 300 C flows past a given cross...Ch. 1 - Prob. 5PCh. 1 - The charge entering a certain element is shown in...Ch. 1 - The charge flowing in a wire is plotted in Fig....Ch. 1 - Prob. 8PCh. 1 - The current through an element is shown in (a) t =...Ch. 1 - A lightning bolt with 10 kA strikes an object for...Ch. 1 - A rechargeable flashlight battery is capable of...Ch. 1 - The charge entering the positive terminal of an...Ch. 1 - The voltage v(t) across a device and the current...Ch. 1 - The current entering the positive terminal of a...Ch. 1 - Prob. 16PCh. 1 - Figure 1.28 shows a circuit with four elements, p1...Ch. 1 - Find the power absorbed by each of the elements in...Ch. 1 - Find I and the power absorbed by each element in...Ch. 1 - Find Vo and the power absorbed by each element in...Ch. 1 - A 60-W incandescent bulb operates at 120 V. How...Ch. 1 - Prob. 22PCh. 1 - A 1.8-kW electric heater takes 15 min to boil a...Ch. 1 - A utility company charges 8.2 cents/kWh. If a...Ch. 1 - A 1.2-kW toaster takes roughly 4 minutes to heat...Ch. 1 - A cell phone battery is rated at 3.85 V and can...Ch. 1 - A constant current of 3 A for 4 hours is required...Ch. 1 - A 150-W incandescent outdoor lamp is connected to...Ch. 1 - An electric stove with four burners and an oven is...Ch. 1 - Reliant Energy (the electric company in Houston,...Ch. 1 - In a household, a business is run for an average...Ch. 1 - A telephone wire has a current of 20 A flowing...Ch. 1 - A lightning bolt carried a current of 2 kA and...Ch. 1 - Figure 1.32 shows the power consumption of a...Ch. 1 - The graph in Fig. 1.33 represents the power drawn...Ch. 1 - A battery can be rated in ampere-hours (Ah) or...Ch. 1 - A total of 2 MJ are delivered to an automobile...Ch. 1 - How much energy does a 10-hp motor deliver in 30...Ch. 1 - A 600-W TV receiver is turned on for 4 h with...
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