Is the circuit a Parallel RLC if there is a voltage source in between capacitor and inductor?

Question

^{simulate this circuit – Schematic created using CircuitLab}

As the schematic shows, there is a voltage source in between capacitor and inductor. Is it a valid Parallel RLC circuit. For example: can we say that we can use the standard equations like:

• Alpha = 1 / ( 2 * R * C)
• W0^2 = 1 / (L * C)

Answer 1

In comments, you say you'll apply a stimulus at the location of V1. In that case, you can redraw the circuit like this:

^{simulate this circuit – Schematic created using CircuitLab}

You can see that as far as this stimulus is concerned, the L and C elements are not in parallel. Nor are they strictly in series, since not all current through the C element also flows through the L element.

You can also see immediately that this circuit has some behavior that doesn't match either a parallel or series RLC circuit. For example, the impedance goes to inifinity (like a series RLC circuit) at \$\omega=0\$, but it goes to R (instead of to infinity again) in the limit as \$\omega\to\infty\$.

Short answer: This circuit does not behave like either a series or parallel RLC circuit.