Docsity
Docsity

Prepare for your exams
Prepare for your exams

Study with the several resources on Docsity


Earn points to download
Earn points to download

Earn points by helping other students or get them with a premium plan


Guidelines and tips
Guidelines and tips

Complex Numbers: Adding, Subtracting, Multiplying and Dividing, Assignments of Electronic Circuits Design

An introduction to complex numbers, including their definition, representation in the form a + bi, and the rules for adding, subtracting, multiplying, and dividing complex numbers. It also includes examples and exercises for practice.

Typology: Assignments

2020/2021

Uploaded on 04/21/2021

anand-javier
anand-javier 🇺🇸

4

(1)

5 documents

1 / 11

Toggle sidebar

This page cannot be seen from the preview

Don't miss anything!

bg1
Introduction to Complex
Numbers
Introduction to Complex
Numbers
Adding, Subtracting, Multiplying
And Dividing Complex Numbers
SPI 3103.2.1 Describe any number in the complex number system.
pf3
pf4
pf5
pf8
pf9
pfa

Partial preview of the text

Download Complex Numbers: Adding, Subtracting, Multiplying and Dividing and more Assignments Electronic Circuits Design in PDF only on Docsity!

Introduction to Complex Numbers Introduction to Complex Numbers Adding, Subtracting, Multiplying And Dividing Complex Numbers SPI 3103.2.1 Describe any number in the complex number system.

Complex Numbers (a + bi) Natural (Counting) Numbers Whole Numbers Integers Rational Numbers Real Numbers Irrational #’s Imaginary #’s

When adding complex numbers, add the real parts together and add the imaginary parts together.

(3 + 7i) + (8 + 11i)

real part imaginary part

11 + 18i

When subtracting complex numbers, be sure to distribute the subtraction sign; then add like parts.

(5 + 10i) – (15 – 2i)

  • 10 + 12i

5 + 10i – 15 + 2i

To divide complex numbers, multiply the numerator and denominator by the complex conjugate of the complex number in the denominator of the fraction.

7 + 2i

3 – 5i

The complex conjugate of 3 – 5i is 3 + 5i.

2i 3 – 5i 21 + 35i + 6i + 10i 2 9 + 15i – 15i – 25i 2 21 + 41i – 10 9 + 25 (3 + 5i)

5i) 11 + 41i 34

Try These. 1.(3 + 5i) – (11 – 9i) -8 + 14i 2.(5 – 6i)(2 + 7i) 52 + 23i 3.2 – 3i –14 – 31i 5 + 8i 89

  1. (19 – i) + (4 + 15i) 23 + 14i

Investigate the powers of i. Power Exponential form simplified 1 i 0+i 2 i 2

3 4 5 6 7 8 9 12 27 70