# T to pi conversion

1. Jul 23, 2013

### eddievic

1. The problem statement, all variables and given/known data
Perform a T to ∏ conversion on the components marked with an asterix (see attachment)

3. The attempt at a solution

I believe the answer is 6.

Zab = sum of the two impedances connected to terminals "A and B"
+ product of T impedance connected to terminals "A and B"/third impedance

my issue is what should the units be as no units are apparent in the question simply ohms?

Or have I maybe misunderstood this process altogether?

As always any help is appreciated.

#### Attached Files:

• ###### Question 2.docx
File size:
249.9 KB
Views:
98
2. Jul 23, 2013

### rude man

It's obviously not a pure number like "6".

Look for T - pi conversion methods in your textbook or on the Web.

3. Jul 23, 2013

### eddievic

I think my issue is three starting values the resistors are indicated by 2Z do i need to convert impedance first?

4. Jul 24, 2013

### eddievic

so i found the correct way to convert as per the attachment.

but im still confused by the initial values being 2Z?

#### Attached Files:

• ###### T to Pi.docx
File size:
17.2 KB
Views:
78
5. Jul 24, 2013

### rude man

6. Jul 24, 2013

### eddievic

Its the first attachment listed as question 2

7. Jul 24, 2013

### p1l0t

T as in Tao is 2Pi (I'm on tapatalk so if you put math symbols I only see plain text) Tao represents a full unit circle where as Pi is half.

8. Jul 24, 2013

### rude man

I meant the one that went along with the T to pi.docx.

9. Jul 24, 2013

### eddievic

There is an attachment entitled question 2 that shows the questions diagram

10. Jul 24, 2013

### rude man

That's not what I meant
I need a pictorial showing how the R's are distributed. Not the Z's of the problem,.

11. Jul 24, 2013

### eddievic

Thats the only diagram provided with the question

12. Jul 24, 2013

### rude man

Never mind the question. What diagram went along with the T to pi.docx file?

13. Jul 25, 2013

### eddievic

I've now included the full question I'm working on exactly as it appears. Hopefully this explains all :)

14. Jul 25, 2013

### eddievic

its entitled Doc1.docx

#### Attached Files:

• ###### Doc1.docx
File size:
246 KB
Views:
89
15. Jul 25, 2013

### The Electrician

What is question 1? You're supposed to use the result from that to help with the final question.

There are 3 impedances marked with a "*". Let the top left one be Ra in the Wye to Delta formulas. Let the top right one be Rb and the middle impedance be Rc.

The 2Z designation need not be a problem. Simply replace Ra with 2Z, Rb with 2Z and Rc with Z in the formulas. What do you get for Rab when you do that? Then for Rbc and Rac?

Once you do all that, you should be able to get Vout or Zout by combining various series and parallel combinations, and using voltage divider formulas, etc.

Give it a try and show your work.

Once you have Rth (which will be an impedance and not a pure resistance for part c. of problem 2) you can use the maximum power transfer theorem to determine the load for maximum power out.

16. Jul 31, 2013

### eddievic

so T to ∏ conversion:

Rab = Ra x Rb + Ra x Rc + Rb x Rc / Rc
so z x z +z x 2z + z x 2z / 2z
= 2.5 z

so Rbc = 5z
Rac = 5z

is this along the right track?

17. Jul 31, 2013

OK so far.