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A 100V, aC source of frequency of 500Hz ...

A `100V`, aC source of frequency of `500Hz` is connected to an L-C-LR circuit with `L=8.1mH,C=12.5muF,R=10Omega` all connected in series as shown in figure. What is the quality factor of circuit?

A

2.02

B

2.5434

C

20.54

D

200.54

Text Solution

Verified by Experts

The correct Answer is:
B
Q-factor `=1/LRsqrt(L/C)=(omegarL)/R`
Here `L=8.1mH`,
`C=105muF,R=10 Omega` and
`f=500Hz`
`:.Q=(omega_(r)L)/R=(2pifL)/R`
`=(2xxpixx500xx8.1xx10^(-3))/10=(8.1pi)/10`
`=2.5434`
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