Parallel RLC Circuit: Using General Impedance Equation

[wetwilly92]

Quick Question...

Given:

Can I still use the general impedance equation for parallel RLC circuits even though the resistors are not in parallel with the other components? Substituting the two resistors for a single resistor with the equivalency resistance?

 

[technician]

The first leg is (Rc and C in series) and this combination is in parallel with (Rl and L in series)

 

[wetwilly92]

The first leg is (Rc and C in series) and this combination is in parallel with (Rl and L in series)

Does this give us...

1) Q²/C - I_CR_C - V = 0
2) I_LR_L - (L * di_L/dt) - V = 0

Or am I just completely off?

 

[technician]

The circuit is an AC circuit so you need to use Reactance of C... Xc =1/ωC to get an expression for the impedance of the Rc C arm.
You need to use Xl = ωL to get an expression for the Impedance of the Rl L arm
The overall impedance is these 2 impedances in parallel.