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Transcript
Introduction to Electrical & Computer Engineering
Phasor Domain Analysis
Dr. Cynthia Furse
University of Utah
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
ZR
Y  1/ R
Inductor
Z  j L
Y  1 / j L
Z  1 / j C
Y  j C
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
Press, Used withAllPermission
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
Ohm’s Law v(t) = i(t) R
Ohm’s Law (impedance) V = I Z
9
Voltage & Current Division
Y=1/Z
reserved.by
Do not
copy or distribute.
© 2013 National
and Science
Press
Circuits, SecondAll rights
Edition
Fawwaz
T. Ulaby
andTechnology
Michel
M. Maharbiz,
© NTS
Press, Used with Permission by the Publisher
11
12
13
Introduction to Electrical & Computer Engineering
Antelope Island, Great Salt Lake, Utah
Dr. Cynthia Furse
University of Utah
14