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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).

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