Simplify the following circuit (all impedances)

  • Thread starter Thread starter dphysics
  • Start date Start date
  • Tags Tags
    Circuit Simplify
Click For Summary

Homework Help Overview

The discussion revolves around calculating the equivalent impedance between terminals A and B in a circuit with given impedances: Z1 = -j2 ohms, Z2 = 1 ohm, Z3 = j2 ohms, and Z4 = 2 ohms. Participants are exploring methods to simplify the circuit, including the possibility of performing a Y to Delta transformation.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • One participant expresses difficulty in simplifying the circuit and questions whether a Y to Delta transformation is necessary. Another participant suggests a different approach by identifying the configuration of Z1 and Z4 in parallel, followed by Z3 in series, and then in parallel with Z1.

Discussion Status

The discussion is active, with participants sharing insights and alternative perspectives on the problem setup. There is acknowledgment of overcomplication in the initial approach, and some guidance has been provided regarding circuit configuration.

Contextual Notes

Participants note the potential confusion caused by the arrangement of the circuit, suggesting that non-standard layouts can complicate analysis.

dphysics
Messages
12
Reaction score
0

Homework Statement


Calculate the equivalent impedance about terminals A and B.
[PLAIN]http://img218.imageshack.us/img218/9335/circuits827.png

Z1 = -j2 ohms
Z2 = 1 ohm
Z3 = j2 ohms
Z4 = 2 ohms

Homework Equations


Adding parallel: Zeq = z1*z2/z1+z2
Adding in series Zeq = z1+z2

The Attempt at a Solution


I honestly have been staring at this problem for hours and cannot figure it out. I'm beginning to wonder if you have to perform a Y to Delta transformation about Z1, Z3, and Z4. Without doing that I cannot see how to simplify this problem. Is there another way? Or, is that the only way to solve it by doing a Y to Delta transformation about Z1, Z3, and Z4.

Help / advice much appreciated in advance.
 
Last edited by a moderator:
Physics news on Phys.org
dphysics said:

Homework Statement


Calculate the equivalent impedance about terminals A and B.
[PLAIN]http://img218.imageshack.us/img218/9335/circuits827.png

Z1 = -j2 ohms
Z2 = 1 ohm
Z3 = j2 ohms
Z4 = 2 ohms

Homework Equations


Adding parallel: Zeq = z1*z2/z1+z2
Adding in series Zeq = z1+z2

The Attempt at a Solution


I honestly have been staring at this problem for hours and cannot figure it out. I'm beginning to wonder if you have to perform a Y to Delta transformation about Z1, Z3, and Z4. Without doing that I cannot see how to simplify this problem. Is there another way? Or, is that the only way to solve it by doing a Y to Delta transformation about Z1, Z3, and Z4.

Help / advice much appreciated in advance.

You are working way to hard.
Z1 & Z4 are in parallel, then in series with Z3, and that result is in parallel with z1.

Just draw the circuit with node A at the top and Node B at the bottom.
 
Last edited by a moderator:
Thank you, haha yes I was over analyzing it way too much, I missed that.

Thanks again!
 
Drawing circuits in a 'non-standard' organization is a favorite way to confuse.

You should see what you can do to a bridge circuit to make the arms look out of balance.
 

Similar threads

  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 5 ·
Replies
5
Views
8K
  • · Replies 15 ·
Replies
15
Views
4K
  • · Replies 8 ·
Replies
8
Views
2K
  • · Replies 3 ·
Replies
3
Views
1K
  • · Replies 3 ·
Replies
3
Views
3K
  • · Replies 26 ·
Replies
26
Views
3K
  • · Replies 4 ·
Replies
4
Views
3K
Replies
4
Views
4K