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# A series LCR circuit with L =0.12 H ,C = 480nF, R =23 omega is connected to a 230 V variable.

Q7.20 (c)  A series LCR circuit with $L=0.12H$, $C=480nF$$R=23\Omega$  is connected to a $230V$variable frequency supply. What is the $Q$ factor of the given circuit?

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The value of maximum angular frequency is calculated in the first part of the question and whose magnitude is 4166.67

Q-factor of any circuit is given by

$Q=\frac{w_rL}{R}=\frac{4166.67*0.12}{23}=21.74$

Hence Q-factor for the circuit is 21.74.

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