Introduction to Electrical Computer Engineering Phasor Domain Analysis

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

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) 2

Impedance and Admittance Impedance is voltage/current Admittance is current/voltage R = resistance = Re(Z) X = reactance = Im(Z) G = conductance = Re(Y) B = susceptance = Im(Y) Resistor Inductor Capacitor Circuits, Second Edition by Fawwaz T. Ulaby and Michel M. Maharbiz, © NTS rights reserved. Do notby copythe or distribute. © 2013 National Technology and Science Press, Used with. All. Permission Publisher

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

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

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

Problem 7. 23 7

Problem 7. 23 8

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

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

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