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

Chapter 8, Problem 112

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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 phase angle u measures the phase difference between the voltage and the current in an electrical circuit. Angle u (in degrees) can be determined by the equation tan u = b a . Find u, to the nearest hundredth, for this circuit.