9. An electric circuit consists of two components as shown in the figure below. ZI www R₁ XL ooooo Z2 www 1 1 1 + Z ZI Z2 R₂ Xc The generalisation of the resistance and reactance to an AC circuit is a complex number, known as impedance. For the electrical circuit pictured above, the impedance of the first component can be expressed by z₁ = R₁ + X₁i and the impedance of the second component can be expressed by z2 = R2 - Xci, where R₁ = 3 Q2, XL = 39, R₂ = 492, and Xc = 49. For electrical circuits connected in parallel, as shown above, the total impendance z of the circuit can be computed using the relationship (a) Compute the total impedance z of the two components. (b) What are the modulus and principal argument of the total impedance?

Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN:9781305632134
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Chapter2: Fundamentals
Section: Chapter Questions
Problem 2.18P: Let a series RLC network be connected to a source voltage V, drawing a current I. (a) In terms of...
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9. An electric circuit consists of two components as shown in the figure below.
Z1
R₁
www
XL
1
00000
=
Z2
HE
The generalisation of the resistance and reactance to an AC circuit is a complex number,
known as impedance. For the electrical circuit pictured above, the impedance of the first
component can be expressed by z₁ = R₁ + X₁i and the impedance of the second component
can be expressed by z2 = R₂ - Xci, where R₁ = 3 Q2, XL = 32, R₂ = 42, and Xc = 422.
Z Z1 Z2
R2
For electrical circuits connected in parallel, as shown above, the total impendance z of the
circuit can be computed using the relationship
Xc
(a) Compute the total impedance z of the two components.
(b) What are the modulus and principal argument of the total impedance?
Transcribed Image Text:9. An electric circuit consists of two components as shown in the figure below. Z1 R₁ www XL 1 00000 = Z2 HE The generalisation of the resistance and reactance to an AC circuit is a complex number, known as impedance. For the electrical circuit pictured above, the impedance of the first component can be expressed by z₁ = R₁ + X₁i and the impedance of the second component can be expressed by z2 = R₂ - Xci, where R₁ = 3 Q2, XL = 32, R₂ = 42, and Xc = 422. Z Z1 Z2 R2 For electrical circuits connected in parallel, as shown above, the total impendance z of the circuit can be computed using the relationship Xc (a) Compute the total impedance z of the two components. (b) What are the modulus and principal argument of the total impedance?
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does the principle argument in part B, have no 2*n*pi on the end? isn't that worked out with Principle Argument (z) = theta + 2*n*pi? is what is worked out not just the argument? 

 

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