about transformer

[jason]

Hello ALl

To be able to get the equation for 3.56 on page
http://www.geocities.com/jason_class/circuit_Zs.jpg
(pls save and open in picture viewer),
I use the result for equation Z1= (1/(a+1)^2).Z2 (page 3, 4th equation
after Figure 5) from document at page
http://www.coilcraft.com/pdf/doc157.pdf

However, I found that from the .pdf file, the 1st and 3rd equation are
contradicting with their results.

Then I found that 4th equation is different when I derived from 1st
equation after Figure 5.
I found that it is Z1= (a+1)^2).Z2 which contradicts with the one shown
in the pdf file.
If I am right with my derivation, then I cannot apply and get the right
Zs' impedance for the page on
http://www.geocities.com/jason_class/circuit_Zs.jpg which I found from
book.

Kindly let me know which is correct and eventually how to get Zs'?
Thank you so much
please help

rgds and thanks
jason

 

[jason]

Hi Andrew

Thank you so much for putting time in to clarify for me.
I will check it out , I think somewhere still I need some deep thinking
to sort.
Will post back for your advice.
Thank you Andrew


rgds and thanks
Jason

 

[Andrew Holme]

jason wrote:

Hello ALl

To be able to get the equation for 3.56 on page
http://www.geocities.com/jason_class/circuit_Zs.jpg
(pls save and open in picture viewer),
I use the result for equation Z1= (1/(a+1)^2).Z2 (page 3, 4th equation
after Figure 5) from document at page
http://www.coilcraft.com/pdf/doc157.pdf

However, I found that from the .pdf file, the 1st and 3rd equation are
contradicting with their results.

Then I found that 4th equation is different when I derived from 1st
equation after Figure 5.
I found that it is Z1= (a+1)^2).Z2 which contradicts with the one
shown in the pdf file.
If I am right with my derivation, then I cannot apply and get the
right Zs' impedance for the page on
http://www.geocities.com/jason_class/circuit_Zs.jpg which I found from
book.

Kindly let me know which is correct and eventually how to get Zs'?
Thank you so much
please help

rgds and thanks
jason

The 1st equation after figure 5 is wrong. It should be:

V1/V2 = N2 / (N1+N2)