Electronics Fundamentals: Circuits, Devices & Applications
8th Edition
ISBN: 9780135072950
Author: Thomas L. Floyd, David Buchla
Publisher: Prentice Hall
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Textbook Question
Chapter 1, Problem 10TFQ
The white neutral lead for ac power should have the same current as the hot lead.
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Calculate the resistance for Aluminum wire, 8 AWG with a length of 1000 FT*
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
www
13
F
5 Ω it (t)
www
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} =
Chapter 1 Solutions
Electronics Fundamentals: Circuits, Devices & Applications
Ch. 1 - The number 3300 is written as 3.3103 in both...Ch. 1 - A negative number that is expressed in scientific...Ch. 1 - When you multiply two numbers written in...Ch. 1 - When you divide two numbers written in scientific...Ch. 1 - The metric prefix micro has an equivalent power of...Ch. 1 - To express 56106 with a metric prefix, the result...Ch. 1 - 0.047F is equal to 47nF.Ch. 1 - The number of significant digits in the number...Ch. 1 - When you apply the round to even rule to round off...Ch. 1 - The white neutral lead for ac power should have...
Ch. 1 - The quantity 4.7103 is the same as...Ch. 1 - The quantity 5.3103 is the same as...Ch. 1 - The number 3,300,000 can be expressed in...Ch. 1 - Ten milliamperes can be expressed as...Ch. 1 - Five thousand volts can be expressed as...Ch. 1 - Twenty million ohms can be expressed as 20m 20MW...Ch. 1 - 15.000W is the same as (a)15mW(b)15kW(c)15MW(d)15WCh. 1 - Which of the following is not an electrical...Ch. 1 - The unit of current is Volt watt ampere jouleCh. 1 - The unit of voltage is ohm watt volt faradCh. 1 - The unit of resistance is ampere henry hertz ohmCh. 1 - Hertz is the unit of power inductance frequency...Ch. 1 - The number of significant digits in the number...Ch. 1 - Express each of the following numbers in...Ch. 1 - Express each fractional number in scientific...Ch. 1 - Express each of the following numbers in...Ch. 1 - Express each of the following numbers in...Ch. 1 - Express each of the following as a regular decimal...Ch. 1 - Express each number in regular decimal form:...Ch. 1 - Add the following numbers: (9.2106)+(3.4107)...Ch. 1 - Perform the following substractions:...Ch. 1 - Prob. 9PCh. 1 - Divide the following: (1.0103)(2.5102)...Ch. 1 - Express each number in engineering notation:...Ch. 1 - Express each number in engineering notation:...Ch. 1 - Express each number in engineering notation:...Ch. 1 - Express each number in engineering notation:...Ch. 1 - Add the following numbers and express each result...Ch. 1 - Multiply the following numbers and express each...Ch. 1 - Divide the following numbers and express each...Ch. 1 - Express each number in Problem 11 in ohms using a...Ch. 1 - Express each number in Problem 13 in amperes usign...Ch. 1 - Express each of the following as a quantity having...Ch. 1 - Express the following using metric prefixes: 3106F...Ch. 1 - Express each quantity with a power of ten: 5A 43mV...Ch. 1 - Perform the indicated conversions:...Ch. 1 - Prob. 24PCh. 1 - Add the following quantities: 50mA+680A 120k+2.2M...Ch. 1 - Do the following operations: 10k(2.2k+10k)...Ch. 1 - How many significant digits are in each of the...Ch. 1 - Round each of the following numbers to three...
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