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Algebra (Paperback)
Nicholas L. Pappas Ph. D.
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R373
Discovery Miles 3 730
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Ships in 10 - 15 working days
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This university level text is for anyone who wants to know how to
analyze and, in time, design electric and then electronic circuits
with transistors. (The transistor know-how is in the next text in
our series Electronic Circuit Design - with Bipolar and MOS
Transistors). We do not use the devastating phrase it is obvious,
because nothing is obvious. Our emphasis is on very clear
presentations. The text includes experiments that give life to the
text's contents, and provide you with real world experience. This
text gets the EE101 job done in about 300 pages at a reasonable
price. Once you have made your way through this text you will be
able to do a node or mesh analysis of any linear circuit, while
understanding resistors R, capacitors C, inductors L, transformers
& mutual inductance M, as well as independent and dependent
sources of current and voltage. Furthermore design examples and
procedures begin to show you the way to what really matters - being
able to design. You do not have to know anything about electricity
to use this text, because the text starts with the brilliant
experiments that discovered electricity, which revealed that
electricity is charge q at rest and in motion. The experiments
started up the what has become the electronics business. Then we
show that there are two basic classes of laws (1) connection
constraints, which are Kirchhoffs' laws showing how currents and
voltages in any circuit relate to each other and (2)
voltage-current vi constraints for resistors, capacitors and
inductors showing how current relates to voltage in each component.
We explain capacitors C and inductors L as we derive their simple
differential equation voltage-current constraints, which escalate
the math required to the calculus. Transformers based on mutual
inductance M are explained as we derive their equivalent circuits
and frequency response. Two general analysis methods, node and
mesh, are presented so that you can analyze any circuit. The node
method is based on Kirchhoff's current connection constraint law,
and the mesh method is based on Kirchhoff's voltage connection
constraint law. We show how to use the Laplace Transform Method to
find any circuit's frequency response as well as the transient
response. We show how straightforward the Laplace Transform is to
use. Frequency responses are important, because many circuit design
goals are a specified over a range of frequencies. Transient
response shows how a circuit responds to signals. Hendrick Bode
invented a widely adopted method for making graphical displays of
the magnitude and phase of the electric circuit frequency response
equations generated by the Laplace Transform. Here is something we
have yet to see in any book. The reactance chart is a graphical
display of the impedance magnitude of R, L, and C components over a
frequency range. The log-log scales span many decades of magnitude
and frequency on one page. We show how to use this eminently
practical chart for making estimates and selecting in the ballpark
values for components appropriate to the problem at hand. We give
the simulation program Spice a significant role in the text. Spice
does the nitty gritty numerical calculations and data plotting for
you. Spice is used in most chapters to calculate results and plot
data. Spice has an important role in the modern design process.
Many useful ideas and important topics are found in the Appendix.
The good news is that a mathematical theory for analysis and
synthesis is available. The mathematics takes several forms. There
is the traditional form of written mathematics. There is Spice, a
software form, using mathematics behind the scenes to evaluate
circuit performance. And, there are Bode diagrams and Reactance
charts that are graphical forms that convert electric circuit
mathematics into comprehensible displays. We use all of these forms
in the text. We refer you to our blog npappasee.blogspot.com for
additional information.
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