Question
Question: In a series LCR circuit having L = 30 mH, R = 8\(\Omega\)and the resonant frequency is 50 Hz. The qu...
In a series LCR circuit having L = 30 mH, R = 8Ωand the resonant frequency is 50 Hz. The quality factor of the circuit is
A
0.118
B
11.8
C
118
D
1.18
Answer
1.18
Explanation
Solution
: Here, , L = 30 mH
=30×10−3H,R=8Ω,υr=50Hz
As , ωr=2πυr
=2×3.14×50=314Hz
∴ Quality factor,
Q=RωrL=8314×30×10−3=1.18