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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)
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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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. 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|
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,

Electrical Engineering homework question answer, step 1, image 1

Step 2

The resonance frequency is given by,

Electrical Engineering homework question answer, step 2, image 1

Substitute the values to evaluate the inductance,

Electrical Engineering homework question answer, step 2, image 2

Step 3

The expression of R of the circuit is,

Electrical Engineering homework question answer, step 3, image 1

The expression of the bandwidth in the series RLC circuit is,

Electrical Engineering homework question answer, step 3, image 2

Step 4

The expression of the quality factor is,

Electrical Engineering homework question answer, step 4, image 1

The expression of the impedance is,

Electrical Engineering homework question answer, step 4, image 2

Plot the function of the impedance with the frequency.

Electrical Engineering homework question answer, step 4, image 3

 

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