Dr. Cynthia Furse University of Utah

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Presentation transcript:

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

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)

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

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

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

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

Problem 7.23

Problem 7.23

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

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

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