T to ∏ Conversion | Solve Homework Statement

[eddievic]

Homework Statement

Perform a T to ∏ conversion on the components marked with an asterix (see attachment)

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.

 

[rude man]

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

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

 

[eddievic]

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

 

[eddievic]

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

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

but I am still confused by the initial values being 2Z?

 

[rude man]

Please include the diagram showing the various resistors in your attachment.

 

[eddievic]

Its the first attachment listed as question 2

 

[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.

 

[rude man]

Its the first attachment listed as question 2

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

 

[eddievic]

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

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

 

[rude man]

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

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

 

[eddievic]

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

Thats the only diagram provided with the question

 

[rude man]

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

 

[eddievic]

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

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

 

[eddievic]

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

its entitled Doc1.docx

 

[The Electrician]

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

but I am still confused by the initial values being 2Z?

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.

 

[eddievic]

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.

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?

 

[The Electrician]

OK so far.