Resonant frequency question

[pka]

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

 

[rl.bhat]

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

 

[ogb p]

Yes, it does matter whether the components in a circuit are in series or in parallel when calculating the resonant frequency. The resonant frequency is determined by the characteristics of the individual components and how they interact with each other in the circuit. In a series circuit, the components are connected one after the other, so the total impedance of the circuit is the sum of the individual impedances of each component. In a parallel circuit, the components are connected side by side, so the total impedance of the circuit is determined by the impedance of the individual components and how they interact with each other.

In a series circuit, the resonant frequency is determined by the inductance and capacitance of the circuit, while in a parallel circuit, it is determined by the capacitance and inductance of the individual components. This means that the resonant frequency will be different for a series circuit compared to a parallel circuit, even if they have the same components.

To calculate the resonant frequency of a parallel circuit, you would use the formula 1/√(LC), where L is the total inductance of the circuit and C is the total capacitance. In a series circuit, you would use the formula √(1/LC), where L and C are the individual inductance and capacitance values of the components.

It is important to note that the resonant frequency is not the only factor to consider when designing a circuit. Other factors such as the quality factor and bandwidth also play a role in determining the behavior of the circuit at different frequencies. It is always important to carefully consider the circuit design and the characteristics of the components to achieve the desired performance. I hope this helps guide you in the right direction.