a series connected circuit has R=5ohms and L=20mH calculate the value of C that will produce a quality fator of 50
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Explanation:
ANSWER
Given,
R=10kΩ
L=20mH
C=5μF
V=10sinωt
In LCR circuit,
Band width of the signal is,
Band Width, BW=
Q
f
r
. . . . .(1)
resonant frequency, f
r
=
2π
LC
1
f
r
=
2×3.14
20×10
−3
×5×10
−6
1
f
r
=0.50KHz
Quality factor, Q=
R
1
C
L
Q=
10×10
3
1
5×10
−6
20×10
−3
Q=0.632×10
−2
From equation (1)
BW=
0.632×10
−2
0.50
Hz
BW=80KHz
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