Question Details

The network shown below has a resonant frequency of 150 kHz and a bandwidth of 600 Hz. The Q-factor of the network is ______. (round off to nearest integer)

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Correct Answer :

250

Solution :

The quality factor (Q-factor) of a resonant circuit is a dimensionless parameter that describes how underdamped an oscillator or resonator is. It is defined as the ratio of the resonant frequency to the bandwidth of the system.

From the problem statement and the network diagram:

We are given the following values:
Resonant frequency, f0=150 kHz=150×103 Hz
Bandwidth, Δf=600 Hz

The formula relating the Q-factor, resonant frequency, and bandwidth is:
Q=f0Δf

Substituting the given parameters into the formula:
Q=150×103600
Q=150000600
Q=250

Hence, the Q-factor of the network is 250.

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