Complex Numbers and Polar Form | Lesson 4.1

We've made it to the last unit, steady-state analysis with inductors and capacitors! However, before we get into the electrical engineering, we have an important topic to discuss In today's video we will be going back to some math basics and talk about complex numbers and polar form. Although, we are not going to be talking about circuits explicitly in this video, we are going to be discussing key math terms that will aid in our analysis of steady state circuits. We will go over complex numbers and what they mean to an engineer, NOT a physicists. I talk about how the square root of -1 is a good way to store information for us engineers to take an analyze circuits with more than one inductor or capacitor when that circuit is in a steady state. We will also talk about polar form and how we can convert a cartesian-like version of a complex number into its polar form. That way, we can capture information in terms of phases and amplitudes. I highly recommend getting used to the algebraic manipulations used to convert cartesian coordinates to polar coordinates, because a lot of the topics we will cover in this unit will revolve around simplification! Once again, I hope you guys enjoy the video, and please mention in the comments any mathematical errors presented or if you have a question about any of the material! #electricalengineering #complexnumbers #phasordiagram #polarcoordinates #circuits