Solved: (Modeling) Impedance Impedance is a measure of the opposition to the flow of

Chapter 8, Problem 111

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(Modeling) Impedance Impedance is a measure of the opposition to the flow of alternating electrical current found in common electrical outlets. It consists of two parts, resistance and reactance. Resistance occurs when a light bulb is turned on, while reactance is produced when electricity passes through a coil of wire like that found in electric motors. Impedance Z in ohms 12 can be expressed as a complex number, where the real part represents resistance and the imaginary part represents reactance. For example, if the resistive part is 3 ohms and the reactive part is 4 ohms, then the impedance could be described by the complex number Z = 3 + 4i. In the series circuit shown in the figure, the total impedance will be the sum of the individual impedances. (Source: Wilcox, G. and C. Hesselberth, Electricity for Engineering Technology, Allyn & Bacon.)The circuit contains two light bulbs and two electric motors. Assuming that the light bulbs are pure resistive and the motors are pure reactive, find the total impedance in this circuit and express it in the form Z = a + bi.