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PROBLEM 1. Consider the circuit in the figure below with 11 = 620° A, 12 = 90° A, R₁ = 42, X₁ = j5 2, and Xc = -j 202. Write its nodal equations, simplifying them until they are expressed in a form similar to X₁ Va + Y₁ Vb=Z₁ X₂ Va + Y₂ Vb=Z₂ In the above equations, the coefficients X₁, X₂, etc. are real or complex numbers. Examples (not related to this problem): 4 Va +(5-j5) Vb=22 (6 + j24) Va + (5 + j3) Vb=(2 + j21) Note that you do not have to solve the equations. 11 VA R1 XL VB Xc 12

PROBLEM 1. Consider the circuit in the figure below with 11 = 620° A, 12 = 90° A, R₁ = 42, X₁ = j5 2, and Xc = -j 202. Write its nodal equations, simplifying them until they are expressed in a form similar to X₁ Va + Y₁ Vb=Z₁ X₂ Va + Y₂ Vb=Z₂ In the above equations, the coefficients X₁, X₂, etc. are real or complex numbers. Examples (not related to this problem): 4 Va +(5-j5) Vb=22 (6 + j24) Va + (5 + j3) Vb=(2 + j21) Note that you do not have to solve the equations. 11 VA R1 XL VB Xc 12

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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PROBLEM 1. Consider the circuit in the figure below with 11 = 6<20° A, 12 = 920° A, R₁ = 4 №, X₁ = j5 №, and Xc = -j 20. Write its nodal equations, simplifying them until they are expressed in a form similar to X₁ Va + Y₁ Vb=Z₁ X₂ Va + Y₂ Vb-Z₂ In the above equations, the coefficients X₁, X2, etc. are real or complex numbers. Examples (not related to this problem): 4 Va +(5-j5) Vb=22 (6 + j24) Va + (5 + j3) Vb=(2 + j21) Note that you do not have to solve the equations. 11 VA V1 R1 XL R1 VB PROBLEM 2. In the circuit below, 11 = 4<0° A, V1 = 12/0° V, R₁ = 0.5 2, R₂ = 2, XL = j10 2, and Xc = -j 52. Write the nodal equations in a form similar to Problem 1. Note that you do not have to solve the equations. m- HH XL Xc 12 R2 Fitd. Xc 11
Transcribed Image Text:PROBLEM 1. Consider the circuit in the figure below with 11 = 6<20° A, 12 = 920° A, R₁ = 4 №, X₁ = j5 №, and Xc = -j 20. Write its nodal equations, simplifying them until they are expressed in a form similar to X₁ Va + Y₁ Vb=Z₁ X₂ Va + Y₂ Vb-Z₂ In the above equations, the coefficients X₁, X2, etc. are real or complex numbers. Examples (not related to this problem): 4 Va +(5-j5) Vb=22 (6 + j24) Va + (5 + j3) Vb=(2 + j21) Note that you do not have to solve the equations. 11 VA V1 R1 XL R1 VB PROBLEM 2. In the circuit below, 11 = 4<0° A, V1 = 12/0° V, R₁ = 0.5 2, R₂ = 2, XL = j10 2, and Xc = -j 52. Write the nodal equations in a form similar to Problem 1. Note that you do not have to solve the equations. m- HH XL Xc 12 R2 Fitd. Xc 11
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