Question determining turns ratio

[Sparky Bill PE]

I guess I'm an idiot, how is the turns not .5 since vp/vs = 300/500 = .5?

.

 

[jd5191]

Since this is an auto-transformer and you can't use your normal transformer equations. Go to your handbook and look at Section 4.3.1.7

  

where Vl = 300, Vh = 600, solve for Nse

0.5 = Nc/(Nse + Nc)

0.5Nse + 0.5Nc = Nc

0.5Nse = 0.5Nc

Nse = Nc

Your only option is A with the same turns ratios

 

[Sparky Bill PE]

Since this is an auto-transformer and you can't use your normal transformer equations. Go to your handbook and look at Section 4.3.1.7

View attachment 19467   View attachment 19466

where Vl = 300, Vh = 600, solve for Nse

0.5 = Nc/(Nse + Nc)

0.5Nse + 0.5Nc = Nc

0.5Nse = 0.5Nc

Nse = Nc

Your only option is A with the same turns ratios

Thank you sir! I haven't even noticed that portion of the handbook and i swear I feel I have went over it 5 times!