TAILIEUCHUNG - Electric Circuits, 9th Edition P36

Electric Circuits, 9th Edition P36. Designed for use in a one or two-semester Introductory Circuit Analysis or Circuit Theory Course taught in Electrical or Computer Engineering Departments. Electric Circuits 9/e is the most widely used introductory circuits textbook of the past 25 years. As this book has evolved over the years to meet the changing learning styles of students, importantly, the underlying teaching approaches and philosophies remain unchanged. | 326 Sinusoidal Steady-State Analysis assessment problems Objective 3 Know how to use circuit analysis techniques to solve a circuit in the frequency domain A 20 il resistor is connected in parallel with a 5 mH inductor. This parallel combination is connected in series with a 5 il resistor and a 25 iF capacitor. a Calculate the impedance of this interconnection if the frequency is 2 krad s. b Repeat a for a frequency of 8 krad s. c At what finite frequency does the impedance of the interconnection become purely resistive d What is the impedance at the frequency found in c Answer a 9 - 12 il b 21 3 il c 4 krad s d 15 il. The interconnection described in Assessment Problem is connected across the terminals of a voltage source that is generating v 150 cos 4000i V. What is the maximum amplitude of the current in the 5 mH inductor Answer A. NOTE Also try Chapter Problems and . Figure The delta-to-wye transformation. Delta-to-Wye Transformations The A-to-Y transformation that we discussed in Section with regard to resistive circuits also applies to impedances. Figure defines the A-connected impedances along with the Y-equivalent circuit. The Y impedances as functions of the A impedances are Z ZC Zy zd Zb Zc zczx z 9-52 2b Zc Z 2aZb 9-53 zb zc The A-to-Y transformation also may be reversed that is we can start with the Y structure and replace it with an equivalent A structure. The A impedances as functions of the Y impedances are ZyZ t Z- Z ------ L Z Z Z Zt Z- Z Zb ------------ Z2 Z Z- ZTZ-i Zt Z Zc ------ . The process used to derive Eqs. or Eqs. is the same as that used to derive the corresponding equations for pure resistive circuits. In fact comparing Eqs. with Eqs. and Eqs. with Eqs. reveals that the symbol Z has replaced Series Parallel and Delta-to-Wye Simplifications 327 the symbol R. You may want to review Problem .

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