• Support PF! Buy your school textbooks, materials and every day products Here!

Rlc circuit with ac current source

  • Thread starter Mirthlinc
  • Start date
  • #1
2
0

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.
 

Answers and Replies

  • #2
2
0
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.
 
  • #3
387
7
First find the net impedence of the circuit.
 
  • #4
rude man
Homework Helper
Insights Author
Gold Member
7,760
759
Have you been introduced to the concept of complex imedance?
 
  • #5
NascentOxygen
Staff Emeritus
Science Advisor
9,244
1,072
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 [Broken] [Broken] [Broken] ∠[PLAIN][PLAIN]https://www.physicsforums.com/images/icons/icon5.gif [Broken] [Broken] [Broken] + [PLAIN][PLAIN]https://www.physicsforums.com/images/icons/icon5.gif [Broken] [Broken] [Broken] ∠[PLAIN][PLAIN]https://www.physicsforums.com/images/icons/icon5.gif [Broken] [Broken] [Broken]
 
Last edited by a moderator:

Related Threads on Rlc circuit with ac current source

  • Last Post
Replies
14
Views
2K
Replies
2
Views
1K
Replies
4
Views
4K
  • Last Post
Replies
2
Views
664
  • Last Post
Replies
4
Views
1K
Replies
3
Views
783
Replies
3
Views
3K
  • Last Post
Replies
7
Views
2K
  • Last Post
Replies
2
Views
2K
Top