9.15 a) Show that, at a given frequency w, the circuits in Fig. P9.15(a) and (b) will have the same imped- ance between the terminals a,b if R₁ = w²L²22 R₂ R2 + w²L²2 2 L₁= - R2L₂ R² + w²L²₂ b) Find the values of resistance and inductance that when connected in series will have the same impedance at 20 krad/s as that of a 50 kn resis- tor connected in parallel with a 2.5 H inductor.
9.15 a) Show that, at a given frequency w, the circuits in Fig. P9.15(a) and (b) will have the same imped- ance between the terminals a,b if R₁ = w²L²22 R₂ R2 + w²L²2 2 L₁= - R2L₂ R² + w²L²₂ b) Find the values of resistance and inductance that when connected in series will have the same impedance at 20 krad/s as that of a 50 kn resis- tor connected in parallel with a 2.5 H inductor.
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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Question
Circuits 1 HW 6 Q8
![9.15 a) Show that, at a given frequency w, the circuits in
Fig. P9.15(a) and (b) will have the same imped-
ance between the terminals a,b if
R₁
=
w²L²2 R₂
R² + w²L²
L₁
-
R2L2
R2 + w²L2₂
b) Find the values of resistance and inductance
that when connected in series will have the same
impedance at 20 krad/s as that of a 50 kn resis-
tor connected in parallel with a 2.5 H inductor.
F](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F43c6c60e-7312-49f6-8756-8967bc0098ca%2F97889af9-161e-45d1-9ea0-9c2842988831%2Fs2bm0a_processed.jpeg&w=3840&q=75)
Transcribed Image Text:9.15 a) Show that, at a given frequency w, the circuits in
Fig. P9.15(a) and (b) will have the same imped-
ance between the terminals a,b if
R₁
=
w²L²2 R₂
R² + w²L²
L₁
-
R2L2
R2 + w²L2₂
b) Find the values of resistance and inductance
that when connected in series will have the same
impedance at 20 krad/s as that of a 50 kn resis-
tor connected in parallel with a 2.5 H inductor.
F
![Figure P9.15
R₁
L₁
(a)
a
b
R₂
a
b
(b)
L2
ICH](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F43c6c60e-7312-49f6-8756-8967bc0098ca%2F97889af9-161e-45d1-9ea0-9c2842988831%2Fkj0deoa_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Figure P9.15
R₁
L₁
(a)
a
b
R₂
a
b
(b)
L2
ICH
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