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Question

Physics Question on LCR Circuit

Quality factor of a series LCRLCR circuit decreases from 3 to 2. Resonant frequency is 600Hz600 \, Hz. Change in band width is

A

zero

B

100 Hz increase

C

100 Hz decrease

D

300 Hz increase

Answer

100 Hz increase

Explanation

Solution

Relation between bandwidth and quality factor of series LCR LCR circuit for a given resonant frequency,
Δυ=υ0Q\Delta\upsilon = \frac{\upsilon _{0}}{Q}
υ0=600Hz\upsilon_{0} = 600 Hz
For Q=3,Δυ=6003=200HzQ = 3, \Delta\upsilon = \frac{600}{3} = 200 Hz
For Q=2,Δυ=6003=300Hz Q = 2, \Delta \upsilon = \frac{600}{3} = 300 Hz