Part 01 - Complex Numbers in Electrical Engineering (ELEC 202)

Video: https://youtu.be/J6nwMAWb_C4?si=DznwtER2GXK_w4NI

#Physics #Engineering #Electrical_Engineering #AC_Circuits #Complex_Analysis

🔙 Previous Part | Next Part 🔜

↩️ Go Back

Table of Contents:

A) Complex Numbers in Electrical Engineering

In Electrical Engineering, once we have learnt the fundamentals of DC circuits and start learning about AC circuits, “currents" and "voltages" will now be expressed using Complex numbers.

A.1) Where are Complex Numbers used in EE?

A.1.1) Impedances

Instead of ohms, henrys and farads,

We will use "Impedances".
Note: impedances are also "complex numbers".

Note: Resistance and reactance have the same units because they perform the same function; i.e., they oppose the flow of current.

A.1.2) Power

"Power" in AC circuits is now also a "complex number"

A.2) Introduction to Imaginary Numbers

So, let's start by studying "Imaginary Numbers"...

For ages people had known that whenever you square a number you get a positive number.

So, when for the first time someone asked:

• *"What if there is a number $j$, whose square ($x^2$) is $-1$? "

Almost no one took this question seriously...

The first person who asked that question was the Italian mathematical genius and grandfather of infinitesimal calculus, "Gerolamo Cardamo"

As he introduced this new number to mathematics, at that point in time, people were "imagining" what it would be like to have a number system that contained numbers whose square ($x^2$) was $-1$, hence the name "Imaginary"

continue at 02:40

🔙 Previous Part | Next Part 🔜

↩️ Go Back