Published On: Sat, Aug 10th, 2019

Some Basic Problems

Author: Radoje Jankovic

Basic operations with complex numbers through simple problem

Problem 1.

If:

A = a + j b; 

A = 0 + j1;  A = 1 + j 0;  A = -1 + j 0;  A = 0 – j 1;  

A = 0 + j ²;   A = 1 + j ²;   A = -1 + j ²;   A = 0 – (- j ²);    

A = 0 +1/ j ²;   A = 1 + 1/ j ²;   A = -1 + 1/ j ²;   A = 0 – (1/ j ²);  

A = 0 + 1/- j ²;  A = 1 +1/- j ²;  A = -1 + 1/- j ²;  A = 0 – 1/- j ²;  

A =  j;  A =  j ²;  A =- j ;  A =- j ² ; A = 1/ j ;   A = 1/ j ²;  A

= -( 1/ j ²);   A = 1/- j ² ; A = -(1/- j ²) ;

And,

B = c + j d;  

B = 0 + j1;  B = 1 + j 0;  B = -1 + j 0;  B = 0 – j 1;  

B = 0 + j ²;   B = 1 + j ²;   B = -1 + j ²;   B = 0 – (- j ²);    

B = 0 +1/ j ²;   B = 1 + 1/ j ²;   B = -1 + 1/ j ²;   B = 0 – (1/ j ²);  

B = 0 + 1/- j ²;  B = 1 +1/- j ²;  B = -1 + 1/- j ²;  B = 0 – 1/- j ²;  

B =  j;  B =  j ²;  B =- j ;  B =- j ² ;  B = 1/ j ;  B = 1/ j ²;  

B = -( 1/ j ²);   B = 1/- j ² ; B = -(1/- j ²) ;

Find the values:

  1. In rectangular forms,
  2. In exponential forms,
  3. In polar forms,
  4. Show all results in Gauss and Polar plane.

Note, Solve step-by-step strictly!

A + B

B + A

A – B

B – A  

A x B

A/B

B/A

A* + B

A + B*

A* – B

A – B*

1/A

1/B

About the Author

- Radoje - Rade Jankovic Electrician, Electrical Technician, Electrical Engineer, PhD, Ecologist, Environmentalist, Designer, Educator, Investigator... Today PROFESSIONAL TECHNICAL WRITER AND DOCUMENTATOR Massive practical experience in almost all fields of electrical engineering over 40 years. My International education group in Facebook: EEEW - ELECTRICAL & ELECTRONIC EDUCATION WORLD where published more than 8000 small or bigger articles, lessons, technical advice, projects, technical calculations, test questions with and without answers, illustrated test questions with and without answers; all my original works and few thousands of may original photos from practice, drawings, circuit diagrams, environmental lessons and examples from everyday practice etc., etc.

Leave a comment

XHTML: You can use these html tags: <a href="" title=""> <abbr title=""> <acronym title=""> <b> <blockquote cite=""> <cite> <code> <del datetime=""> <em> <i> <q cite=""> <s> <strike> <strong>

Some Basic Problems