Rlc circuit with ac current source

[Mirthlinc]

Homework Statement

An AC current source, 1 ∠0° A, with angular frequency 1 rad/s is to be applied to the input
terminals of the circuit. Circuit is RLC, the current source is in parallel with a 1F capacitor which is in parallel with a 1H inductor which is in series with a 1Ω resistor. I need to find the Voltage across the capacitor.

Homework Equations

Xc = 1/ωC

Vc = Xc * I

The Attempt at a Solution

I know that the voltage into the circuit is the same as the voltage across the capacitor since they are in parallel. This is a current divider problem so I need to find the current across the capacitor to solve for the Vc. I know I need to use the impedences to solve for voltage using Vc = Xc * Ic, but I cannot recall how to do this for a series/parallel RLC circuit.

 

[Mirthlinc]

Is it that impedences act the same as resistors? In that case I just add the series elements and then use the current divider rule to find the current across the capacitor, but I don't know if that is right.

 

[darkxponent]

First find the net impedence of the circuit.

 

[rude man]

Have you been introduced to the concept of complex imedance?

 

[NascentOxygen]

Step 1. The impedance of the capacitor = 1/(wC) ∠-90°

Step 2. Impedance of the inductor + impedance of resistor = [PLAIN][PLAIN]https://www.physicsforums.com/images/icons/icon5.gif ∠[PLAIN][PLAIN]https://www.physicsforums.com/images/icons/icon5.gif  + [PLAIN][PLAIN]https://www.physicsforums.com/images/icons/icon5.gif ∠[PLAIN][PLAIN]https://www.physicsforums.com/images/icons/icon5.gif