Simplify the following circuit (all impedances)

  • Thread starter Thread starter dphysics
  • Start date Start date
  • Tags Tags
    Circuit Simplify
Join the discussion
Registration is free. Ask a follow-up in this thread, or start your own.
3 replies · 5K views
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.