1. For each of the driven RLC circuits specified below, do the following: i. Determine resonance properties wo, @1, Oµ, B, and Q (mį and @y are the low and high half-power frequencies). ii. Determine element values. iii. Produce a frequency response plot for the impedance magnitude. Series RLC circuit with C= 50 µF, wo = 100 rad/s, w = 80 rad/s. a. 105 Problem statement continued on next page. 104 103 102 10' 10 100 10' 102 103 w (rad/s) 104 (7) |(m)Z| 1. (cont.) Series RLC circuit with C= 25 µF, R = 16 Q, B = 50 rad/s. c. 105 10* 10 102 10 100 10' 102 w (rad/s) 103 104 (U) |(m)Z|
1. For each of the driven RLC circuits specified below, do the following: i. Determine resonance properties wo, @1, Oµ, B, and Q (mį and @y are the low and high half-power frequencies). ii. Determine element values. iii. Produce a frequency response plot for the impedance magnitude. Series RLC circuit with C= 50 µF, wo = 100 rad/s, w = 80 rad/s. a. 105 Problem statement continued on next page. 104 103 102 10' 10 100 10' 102 103 w (rad/s) 104 (7) |(m)Z| 1. (cont.) Series RLC circuit with C= 25 µF, R = 16 Q, B = 50 rad/s. c. 105 10* 10 102 10 100 10' 102 w (rad/s) 103 104 (U) |(m)Z|
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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Related questions
Question
Transcribed Image Text:1.
For each of the driven RLC circuits specified below, do the following:
i.
Determine resonance properties wo, @1, Oµ, B, and Q (mį and @y are the low and high half-power frequencies).
ii. Determine element values.
iii. Produce a frequency response
plot for the impedance magnitude.
Series RLC circuit with C= 50 µF,
wo = 100 rad/s, w = 80 rad/s.
a.
105
Problem statement continued on next page.
104
103
102
10'
10
100
10'
102
103
w (rad/s)
104
(7) |(m)Z|
Transcribed Image Text:1.
(cont.)
Series RLC circuit with C= 25 µF, R = 16 Q, B = 50 rad/s.
c.
105
10*
10
102
10
100
10'
102
w (rad/s)
103
104
(U) |(m)Z|
Expert Solution
Step 1
Part (a)
For the series RLC circuit, the given values are,
Step 2
The resonance frequency is given by,
Substitute the values to evaluate the inductance,
Step 3
The expression of R of the circuit is,
The expression of the bandwidth in the series RLC circuit is,
Step 4
The expression of the quality factor is,
The expression of the impedance is,
Plot the function of the impedance with the frequency.
Step by step
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