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below, 2µF. Fl ly the resonant frequency @ and quality factor Q of this circuit, and find the a and Q again when L2 is reversed. R. M

below, 2µF. Fl ly the resonant frequency @ and quality factor Q of this circuit, and find the a and Q again when L2 is reversed. R. M

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
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For the circuit below, L=0.1H, L=0.2H, M=0.1H, R,=552, R,=1092, and C=2µF. Find the resonant frequency a, and quality factor Q of this circuit, and find the w, and Q again when L2 is reversed. R, M R2 L2 connection: o, = 2236rad/s , Q = 33.33 %3D A L2 reversed connection: , = 1000rad/s, Q=14.9 L2 connection: w, = 1000rad/s, Q = 33.33 В L2 reversed connection: , = 2236rad/s , Q=14.9 %3D L2 connection: w, = 2236rad/s , Q=14.9 %3D C L2 reversed connection: w, = 1000rad/s, Q= 33.33 L2 connection: w, = 1000rad/s, Q =14.9 D L2 reversed connection: , = 2236rad/s, Q = 33.33
Transcribed Image Text:For the circuit below, L=0.1H, L=0.2H, M=0.1H, R,=552, R,=1092, and C=2µF. Find the resonant frequency a, and quality factor Q of this circuit, and find the w, and Q again when L2 is reversed. R, M R2 L2 connection: o, = 2236rad/s , Q = 33.33 %3D A L2 reversed connection: , = 1000rad/s, Q=14.9 L2 connection: w, = 1000rad/s, Q = 33.33 В L2 reversed connection: , = 2236rad/s , Q=14.9 %3D L2 connection: w, = 2236rad/s , Q=14.9 %3D C L2 reversed connection: w, = 1000rad/s, Q= 33.33 L2 connection: w, = 1000rad/s, Q =14.9 D L2 reversed connection: , = 2236rad/s, Q = 33.33
Expert Solution
Step 1

A. L2 connection 

The equivalent inductance is given as 

Electrical Engineering homework question answer, step 1, image 1

Thus the resonance frequency (ωo)is given as 

Electrical Engineering homework question answer, step 1, image 2

The Q-factor is given as 

Electrical Engineering homework question answer, step 1, image 3

 

Step 2

B. L2 inverse connection 

The equivalent inductance is given as 

Electrical Engineering homework question answer, step 2, image 1

Thus the resonance frequency (ωo)is given as 

Electrical Engineering homework question answer, step 2, image 2

The Q-factor is given as 

Electrical Engineering homework question answer, step 2, image 3

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