# Homework Help: Simplify the following circuit (all impedances)

1. Apr 26, 2010

### dphysics

1. The problem statement, all variables and given/known data
Calculate the equivalent impedance about terminals A and B.
[PLAIN]http://img218.imageshack.us/img218/9335/circuits827.png [Broken]

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

2. Relevant equations
Adding in series Zeq = z1+z2

3. 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.

Last edited by a moderator: May 4, 2017
2. Apr 26, 2010

### brickeyee

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: May 4, 2017
3. Apr 26, 2010

### dphysics

Thank you, haha yes I was over analyzing it way too much, I missed that.

Thanks again!

4. Apr 28, 2010

### brickeyee

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.