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Question

Physics Question on LCR Circuit

Resonant frequency of a series LCR circuit is 600 Hz. Quality factor of the circuit is 4. Band width is

A

300 Hz

B

150 Hz

C

1200 Hz

D

450 Hz

Answer

150 Hz

Explanation

Solution

Bandwidth of LCRLCR circuit is given by, 2Δω=ω0Q2 \Delta \omega = \frac{\omega_0}{Q} or 2Δυ=υ0Q2 \Delta \upsilon = \frac{\upsilon_0}{Q} Here, υ0=600Hz,Q=4\upsilon_0 = 600 \: Hz , Q = 4 \therefore Band width =6004=150Hz= \frac{600}{4} = 150 \, Hz