GATE Papers >> EEE >> 2016 >> Question No 59

Question No. 59 EEE | GATE 2016
A single-phase, 22 kVA, 2200 V/ 220 V, 50 Hz, distribution transformer is to be connected as an auto-transformer to get an output voltage of 2420 V. Its maximum kVA rating as an autotransformer is

Answer : (C) 242


Solution of Question No 59 of GATE 2016 EEE Paper

$ 22\;\mathrm{KVA},\;2200\;\mathrm V/220\;\mathrm V,50\;\mathrm{Hz} $

Distribution transformer is to be connected as on

auro transformer to get an output voltage of 2420 V.

$ (\mathrm{kVA})_\mathrm{maximum} $ as an auto transformer = ?

as voltage rating $ =\mathrm{is}\;2420\;\mathrm i.\mathrm e.(2200+220)\mathrm V $

additive polarity,

$ (\mathrm{kVA})_\mathrm{auto}=({\mathrm a}_{2\mathrm{winding}\;}+1)\times{\mathrm{kVA}}_{2\mathrm{winding}} $

where,   a2winding =2200220=10

$ (\mathrm{kVA})\mathrm{auto}\;=(10+1)\times22=242 $

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