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Consider the circuit below. You may assume it has reached steady state. The phasor diagram shows the phasors of i₁ and ₂ (the angles are as shown; the magnitudes are not drawn to scale). Each rectangular box represents a connection of mystery elements in series/parallel. The impedances of the two boxes are Z₁ = aj and Z₂ = b(1+j) but you are not told which one is which. Note: you are given the values for a, b and |VI. (a) We want to build the impedance Z using two elements in series. What elements would you use and what are their values? (b) Consider the source vs(t). Find the value of X. (c) Between A and B, we add a third impedance Z3, such that the current is (t) through the voltage source becomes equal to ₁ (t). What is the value of this impedance Z3? vs(t) = |V| cos(10t + X) орьсо прис is (t) i₁(t) Answers: (a).R = 30, L (b).-π/4 (c).Z3 = 2j 0.3H 0 i₂ (t) A B Im a: b: IVI: 714 Re -2 3 2 V

Consider the circuit below. You may assume it has reached steady state. The phasor diagram shows the phasors of i₁ and ₂ (the angles are as shown; the magnitudes are not drawn to scale). Each rectangular box represents a connection of mystery elements in series/parallel. The impedances of the two boxes are Z₁ = aj and Z₂ = b(1+j) but you are not told which one is which. Note: you are given the values for a, b and |VI. (a) We want to build the impedance Z using two elements in series. What elements would you use and what are their values? (b) Consider the source vs(t). Find the value of X. (c) Between A and B, we add a third impedance Z3, such that the current is (t) through the voltage source becomes equal to ₁ (t). What is the value of this impedance Z3? vs(t) = |V| cos(10t + X) орьсо прис is (t) i₁(t) Answers: (a).R = 30, L (b).-π/4 (c).Z3 = 2j 0.3H 0 i₂ (t) A B Im a: b: IVI: 714 Re -2 3 2 V

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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Consider the circuit below. You may assume it has reached steady state. The phasor diagram shows the phasors of i₁ and ₂ (the angles are as shown; the magnitudes are not drawn to scale). Each rectangular box represents a connection of mystery elements in series/parallel. The impedances of the two boxes are Z₁ = aj and Z₂ = b(1+j) but you are not told which one is which. Note: you are given the values for a, b and |VI. (a) We want to build the impedance Z using two elements in series. What elements would you use and what are their values? (b) Consider the source vs(t). Find the value of X. (c) Between A and B, we add a third impedance Z3, such that the current is (t) through the voltage source becomes equal to ₁ (t). What is the value of this impedance Z3? vs(t) = |V|· cos(10t + X) Answers: (a).R = 30, L (b).-π/4 (c).Z3 = 2j is(t) = прис i₁(t) 0.3H 0 i₂ (t) A B Im a: b: IVI: 714 Re -2 3 2 V
Transcribed Image Text:Consider the circuit below. You may assume it has reached steady state. The phasor diagram shows the phasors of i₁ and ₂ (the angles are as shown; the magnitudes are not drawn to scale). Each rectangular box represents a connection of mystery elements in series/parallel. The impedances of the two boxes are Z₁ = aj and Z₂ = b(1+j) but you are not told which one is which. Note: you are given the values for a, b and |VI. (a) We want to build the impedance Z using two elements in series. What elements would you use and what are their values? (b) Consider the source vs(t). Find the value of X. (c) Between A and B, we add a third impedance Z3, such that the current is (t) through the voltage source becomes equal to ₁ (t). What is the value of this impedance Z3? vs(t) = |V|· cos(10t + X) Answers: (a).R = 30, L (b).-π/4 (c).Z3 = 2j is(t) = прис i₁(t) 0.3H 0 i₂ (t) A B Im a: b: IVI: 714 Re -2 3 2 V
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