Current in an RLC circuit at very small and very large frequencies

[spacemanrussell]

RLC Circuit problem. Please Help!

Homework Statement

In the figure, what is the current supplied by the emf when the frequency is very small?

What is the current supplied by the emf when the frequency is very large?

Homework Equations

I am not sure but:

wo=1/sqrt(LC)

Vr=IR

Vl=IXl

Vc=IXc

 

[rl.bhat]

When the frequency is very small. XL = 2*pi*f*L is nearly zero and XC = 1/2*pi*f*C is near open circuit, and most of the current will flow through inductor branch
When the frequency is very high. XL = 2*pi*f*L very high and XC = 1/2*pi*f*C is near zero and most of the current will flow through capacitor branch.

 

[nicksauce]

For high enough frequencies you can replace the inductor with an open circuit, and replace the capacitor with a short circuit. For low enough frequencies you can replace the inductor with a short circuit and the capacitor with an open circuit.

 

[spacemanrussell]

Thank You!

I am pretty sure I will be able to get it now.