Question

Chapter 31, Problem 064 The figure shows an "autotransformer." It consists of a single coil (with an iron core). Three taps T are provided. Between taps 7: and Tz there are 203 turns, and between taps T2 and Ty there are 832 turns. Any two taps can be chosen as the primary terminals, and any two taps can be chosen as the secondary terminals. For choices producing a step-up transformer, what are the (a) smallest, (b) second smallest, and (c) largest values of the ratio V/V? For a step down transformer, what are the (d) smallest, (e) second smallest, and (1) largest values of Vs / Vp? (a) Number Units (b) Number lem Units Units (c) Number (d) Number (e) Number (1) Number Units Units Units

Answer 1

All the six conditions are explained with solution.

T3 Auto Trans kor mer No. of TUTns behvean Tap (T,-T)203 No TUrns behweun Taps (T,-T) 832 T2 No. o TUTAS bctwan (Ti-13)- 203+832 TT 1035 # For sTep-Up Oferation caj Smallest Vs Vp For This take Taps T-Ta) as Primany anal as secondury . Transformahicm Raho 1035 832 NP VP .243 (bJ Second Smallest s Vp Fer this take taps (T,T2) as pimau and (T2-Ts) as se andury . Trans bormation 832 Raho 2 03 NP 4.098 (c) Largest Vahue vsVo endar thes take tapS (T-T2) as Primauy and (TTs) as LFor t035 ( Trans bermatiem Raho 17 Ne 203 5.098 For step -Doun operaton - (d) Smallest Vs I Vp LFor this yaee taps (-Ts) as Primay (TT2) as beunodauy 203 Ratio 20.196 l035 Secend Smalles Vslv senolay (Ti-Fz)as Laps T2-13) as Primauy LFur th's talce Ratio 203 832 0.2439 832 e0.S03 l035 (f) Laigest VelV -Fr this telee taps (11-73) as pimany mod (T2-5) bemola. Kaho