Introductory Electrical Engineering With Math Explained in Accessible Language

Magno Urbano

• Publisher: Wiley
• Year: 2019
• ISBN:
  9781119580201
• Edition: 1
• Topic: Tecnologia e ingegneria
• Subtopic: Ingegneria elettronica e telecomunicazioni

Offers an understanding of the theoretical principles in electronic engineering, in clear and understandable terms

Introductory Electrical Engineering With Math Explained in Accessible Language offers a text that explores the basic concepts and principles of electrical engineering. The author—a noted expert on the topic—explains the underlying mathematics involved in electrical engineering through the use of examples that help with an understanding of the theory. The text contains clear explanations of the mathematical theory that is needed to understand every topic presented, which will aid students in engineering courses who may lack the necessary basic math knowledge.

Designed to breakdown complex math concepts into understandable terms, the book incorporates several math tricks and knowledge such as matrices determinant and multiplication. The author also explains how certain mathematical formulas are derived. In addition, the text includes tables of integrals and other tables to help, for example, find resistors' and capacitors' values. The author provides the accessible language, examples, and images that make the topic accessible and understandable. This important book:

• Contains discussion of concepts that go from the basic to the complex, always using simplified language

• Provides examples, diagrams, and illustrations that work to enhance explanations

• Explains the mathematical knowledge that is crucial to understanding electrical concepts

• Contains both solved exercises in-line with the explanations

Written for students, electronic hobbyists and technicians, Introductory Electrical Engineering With Math Explained in Accessible Language is a much-needed text that is filled with the basics concepts of electrical engineering with the approachable math that aids in an understanding of the topic.

1
Scientific Method: General Concepts

1.1 Introduction

In this chapter, we will examine the scientific method and its concepts. These concepts must be well understood and are fundamental to achieve a solid foundation in electrical engineering.

1.2 Powers of 10

In science it is common to represent numbers like 100, 1000, and 10000, as 10², 10³, and 10⁴, respectively, in what is called powers of ten.

Powers of 10 show how many times 10 has to be multiplied by itself to obtain the final value.

In other words,

is equal to 10 multiplied by itself 4 times.

However, if we want to represent very small numbers like 0.1, 0.01, and 0.001, we have to use negative exponents, as 10⁻¹, 10⁻², 10⁻³, respectively.

This negative exponent represents how many times the number must be divided by 10.

Numbers like

10⁻¹, 10⁻², 10⁻³ represent

1/10, 1/100, 1/100, respectively.

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Any number raised to 0 is equal to 1. Thus, 10⁰ = 1.

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1.3 Roots

Roots are the inverse operation of powers.

Roots are expressed in scientific notation as a fractional exponent:

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Any number raised to a fractional exponent in the form

is equal to

.

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1.4 Scientific Notation as a Tool

In science, we constantly have to deal with numbers that are very hard to write in natural form, for example, 0.000000000003434033323. Imagine how hard it would be to compare this number with 0.0000000000000212817716 and know which one is bigger.

To solve this problem and make it easy to compare and write huge or minuscule numbers, a met...