ABSTRACT
The origins of complex numbers came about when mathematicians were trying to solve certain types of equations. De Moivre's theorem can be used with fractional powers to find square roots, and cube roots of complex numbers. The use of complex numbers occurs in many areas of science and engineering, and one such application is in determining conditions for flashover fires and disasters to occur. Another important area is in electrical circuit theory with alternating currents, resistor, inductor, and capacitor circuits. The chapter considers the RCL electrical circuit. From some basic electrical circuit theory, the resistor has effective resistance R, the inductor L has effective resistance XL, and the capacitor C has effective resistance XC.
