Q Factor of a Resonant Series Circuit
The Q factor of a Resonant series circuit can be defined in the following different ways.
(i) it is given by the voltage magnification produced in the circuit at resonance. We have seen that at resonance, current has maximum value I0 = V/R. Voltage across either coil or capacitor = I0XL0 or I0XC0,
supply voltage V = I0R
where φ is power factor of the coil.
(ii) The Q-factor may also be defined as under.
In other words, 
(iii) We have seen above that resonant frequency, 
Substituting this value in Eq. (i) above, we get the Q-factor,
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(iv) In the case of series resonance, higher Q-factor means not only higher voltage magnification but also higher selectivity of the tuning coil. In fact, Q-factor of a resonant series circuit may be written as
Obviously, Q-factor can be increased by having a coil of large inductance but of small ohmic resistance.
(v) In summary, we can say that
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