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)
Correct Answer :
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,
Bandwidth,
The formula relating the Q-factor, resonant frequency, and bandwidth is:
Substituting the given parameters into the formula:
Hence, the Q-factor of the network is 250.
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