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soluciones del capitulo dos del libro introduction to mechatronics and measurement systems solutions manual
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Introduction to Mechatronics and Measurement Systems 1
David G. Alciatore and Michael B. Histand
2 Introduction to Mechatronics and Meaurement Systems
This manual contains solutions to the end-of-chapter problems in the second edition of "Introduction to Mechatronics and Measurement Systems." Only a few of the open-ended problems that do not have a unique answer are left for your creative solutions. More information, including an example course outline, a suggested laboratory syllabus, MathCAD files for examples in the book, and other supplemental material are provided on the Internet at:
http://www.engr.colostate.edu/~dga/mechatronics.html
We have class-tested the textbook for several years, and it should be relatively free from errors. However, if you notice any errors or have suggestions or advice concerning the textbook's content or approach, please feel free to contact us via e-mail at dga@engr.colostate.edu. We will post corrections for reported errors on our Web site.
Thank you for choosing our book. We hope it helps you provide your students with an enjoyable and fruitful learning experience in the cross-disciplinary subject of mechatronics.
4 Introduction to Mechatronics and Meaurement Systems
2.7 From KCL,
so from Ohm’s Law
Therefore, so
2.8 From Ohm’s Law and Question 2.7,
and for one resistor,
Therefore,
From KVL,
so
Therefore,
so or
and
From KCL,
→∞
Introduction to Mechatronics and Measurement Systems 5
Since
From KVL,
Since
From KCL, so
Therefore, so or
2.14 , regardless of the resistance value.
2.15 From Voltage Division,
2.16 Combining R 2 and R 3 in parallel,
and combining this with R 1 in series,
(a) Using Ohm’s Law,
Introduction to Mechatronics and Measurement Systems 7
2.21 It will depend on your instrumentation, but the oscilloscope typically has an input impedance of 1 MΩ.
2.22 Since the input impedance of the oscilloscope is 1 MΩ, the impedance of the source will be in parallel, and the oscilloscope impedance will affect the measured voltage. Draw a sketch of the equivalent circuit to convince yourself.
(a) ,
(b) ,
When the impedance of the load is lower (10k vs. 500k), the accuracy is not as good.
2.24 It will depend on the supply; check the specifications before answering.
Combining R 2 and L in series and the result in parallel with C gives:
8 Introduction to Mechatronics and Meaurement Systems
Using voltage division,
where
so
Therefore,
2.26 With steady state dc Vs, C is open circuit. So
so and
(a) In steady state dc, C is open circuit and L is short circuit. So
(b)
ω π
ω
π
π
' (^) ' (^) (ω (^) ( ^ π()Ω ^ ∠ °Ω
10 Introduction to Mechatronics and Meaurement Systems
2.33 From Ohm’s Law,
Since ,
giving
or
For a resistor, , so the smallest allowable resistance would need a power rating of at least:
so a 1/2 W resistor should be specified. The largest allowable resistance would need a power rating of at least:
so a 1/4 W resistor would provide more than enough capacity.
2.34 Using KVL and KCL gives:
The first loop equation gives:
Using this in the other two loop equations gives:
Ω
Ω
Introduction to Mechatronics and Measurement Systems 11
or
Solving these equations gives: and
(a)
(b) , ,
2.35 Using KVL and KCL gives:
The first loop equation gives:
Using this in the other two loop equations gives:
or
Solving these equations gives: and
(a)
(b) , ,
3 ∫
-------------- $ ( ω" φ) $ ( ω" φ)!"
3 ∫
