How to Determine Voltage and Current in an RLC Circuit?

[xporten]

Homework Statement

I need to find V0

Relevant Equations

Vs=14.14cos(100t)V

Hi
i want to know just how to approach this question.
i know the omega=100 then should i find XL and XC? and then find the voltage in points c and d?
also how do i find the current that enters point c?

thanks a lot.

 

[DaveE]

Do you know about the Thevenin source transformations? That's where I'd start. The other (harder) approach is to write out the KVL and KCL equations and solve them. Yes you will need Xl and Xc.

 

[boo]

I would start by doing a source transformation of Vs(t) in series with the 5 ohm resistor and make that into a Vs(t)/5 current with a parallel 5 ohm resistor. This now puts everything in that circuit in parallel simplifying it considerably. I hope you realize that the branch containing R2 and C is in parallel with the branch containing L and R3 and they are all in parallel with Ix. AT that point just do a single node voltage equation with phasors. That will give you the currents and voltages in all the branches. (The current through C is the same as the current through R2 as they are in series, BTW) Once you have the branch currents and voltage drops just do a KVL around either Vo, R2 and L or Vo C and R3.