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Dr. Cynthia Furse University of Utah

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1 Dr. Cynthia Furse University of Utah
Introduction to Electrical & Computer Engineering Phasor Domain Analysis Dr. Cynthia Furse University of Utah Dr. Cynthia Furse University of Utah

2 Impedance & Phasor Domain Analysis
Impedance (Z) (ch 7-2) Resistance R Capacitance 1/jωC Inductance jωL Ohm’s Law Z = V/ I (ratio of voltage to current, including phase shifts) Phasor Domain Analysis (ch 7-3) Impedance Transformation (ch 7-4)

3 Impedance and Admittance
Impedance is voltage/current Admittance is current/voltage R = resistance = Re(Z) G = conductance = Re(Y) X = reactance = Im(Z) B = susceptance = Im(Y) Resistor Inductor Capacitor Circuits, Second Edition by Fawwaz T. Ulaby and Michel M. Maharbiz, © NTS Press, Used with Permission by the Publisher All rights reserved. Do not copy or distribute. © 2013 National Technology and Science Press

4 Impedances in Series Add
Z (Ω) = R + (1/jωC) + jωL Need to know ω = 2πF

5 Admittances in Parallel Add
Y = 1/Z = 1/R + jωC + 1/jωL Need to know ω = 2πF

6 OR use Impedances in Parallel
Z (Ω) = 1 / [ 1/R + jωC + 1/jωL ] Need to know ω = 2πF

7 Problem 7.23

8 Problem 7.23

9 Ohm’s Law Ohm’s Law v(t) = i(t) R Ohm’s Law (impedance) V = I Z

10 Voltage & Current Division
Y=1/Z Circuits, Second Edition by Fawwaz T. Ulaby and Michel M. Maharbiz, © NTS Press, Used with Permission by the Publisher All rights reserved. Do not copy or distribute. © 2013 National Technology and Science Press

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14 Dr. Cynthia Furse University of Utah
Introduction to Electrical & Computer Engineering Antelope Island, Great Salt Lake, Utah Dr. Cynthia Furse University of Utah


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