A curve between I and w in a series LCR circuit connected to an emf Eo sin wt has a peak (1 = Suppose w₁ and we are two values of w on both sides of wo at Show that (a) w₁ and we are half-power points and Aw = W₂ - Io) at (w wo) (resonance). which the value of I is 10 | √2 R w₁ = R/L, (b) the quality factor of the circuit is Q = wol/ =
A curve between I and w in a series LCR circuit connected to an emf Eo sin wt has a peak (1 = Suppose w₁ and we are two values of w on both sides of wo at Show that (a) w₁ and we are half-power points and Aw = W₂ - Io) at (w wo) (resonance). which the value of I is 10 | √2 R w₁ = R/L, (b) the quality factor of the circuit is Q = wol/ =
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
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is ¹0 | √₂
A curve between I and w in a series LCR circuit connected to an emf Eo sin wt has a peak (I
Io) at (w = wo) (resonance). Suppose w₁ and we are two values of w on both sides of wo at
which the value of I is Show that (a) w₁ and w₂ are half-power points and Aw = W₂ -
w₁ = R/₁, (b) the quality factor of the circuit is Q = wol/
R.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1dc6cf95-b131-44cb-bec5-e5cfc8b95147%2F9255f73c-9c57-44c7-8b82-1de3c94389d9%2Fokfkxgos_processed.png&w=3840&q=75)
Transcribed Image Text:=
is ¹0 | √₂
A curve between I and w in a series LCR circuit connected to an emf Eo sin wt has a peak (I
Io) at (w = wo) (resonance). Suppose w₁ and we are two values of w on both sides of wo at
which the value of I is Show that (a) w₁ and w₂ are half-power points and Aw = W₂ -
w₁ = R/₁, (b) the quality factor of the circuit is Q = wol/
R.
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Step 1: The given information to derive the expressions of bandwidth and quality factor.
VIEWStep 2: Performing the derivation of half-power points.
VIEWStep 3: Derivation of the relation between Z and R at half-power frequencies.
VIEWStep 4: Derivation of the expressions for half-power frequencies.
VIEWStep 5: Derivation of bandwidth.
VIEWStep 6: Derivation of the quality factor.
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