# Rlc circuit with ac current source

## 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.

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.

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.

First find the net impedence of the circuit.

rude man
Homework Helper
Gold Member
Have you been introduced to the concept of complex imedance?

NascentOxygen
Staff Emeritus