Does Component Configuration Affect Resonant Frequency Calculation?

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pka
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When calculating the resonant frequency of a circuit, does it matter whether or not the components in that circuit are in series or in parallel?

Say...for a simple circuit with three components in series with a voltage source (a resistor, an inductor and a capacitor for example). The resonant frequency of this circuit is not going to be the same if these three elements were all in parallel with each other but still in series with a voltage source right? If this is the case then calculating the resonant frequency for a parallel circuit is different from calculating the resonant frequency of a series circuit. Just how?? I don't quite know but if anyone could steer me in the right direction I would greatly appreciate it! :D
 
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In parallel resonant circuit all the three components are not connected in parallel. In that L and R are in series and C is parallel to this combination. If the value of R is small , formula for resonant frequency is the same for both series and parallel combination. If R is large then
2XpiXfrequency = [ 1/LC - R^2/L^2]^1/2