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Q#1 Transformers GATE EE 2023 NAT +2 marks -0 marks

When the winding  of the single-phase, , two winding transformer is supplied from an AC current source of frequency , the rated voltage of  (rms),  is obtained at the open-circuited terminals . The cross sectional area of the core is  and the average core length traversed by the mutual flux is . The maximum allowable flux density in the core is  and the relative permeability of the core material is 5000. The leakage impedance of the winding  and winding  at  are and , respectively. Considering the magnetizing characteristics to be linear and neglecting core loss, the self-inductance of the winding a-b in millihenry is _________ (Round off to 1 decimal place).

Explanation:

Open circuit voltage at a-b = 200V (rms)

Reluctance of flux path inside core =

Mutual inductance referred to primary =

Self inductance of primary = M + Lep

= 2.0357 + 0.16 = 2.1957

= 2195.7 mH

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