This tutorial will discuss the state-of-the art and trends for power electronics applied to transportation electrification. It will cover the main power converters used in electric and hybrid vehicles, addressing their topologies, design, and control strategies for traction and auxiliary systems. The main types of electric machines used in these vehicles will also be discussed, highlighting their advantages and applications. Control strategies will be presented to illustrate how performance and efficiency are achieved. Finally, key battery technologies will be covered along with battery management systems (BMS) and charging methods.