are the reluctance of both the transformer winding same? if that's so ? how ? because reluctance = effective length of wire/ (permeability X area ) , so is this ratio in both the sides always the same?
I've altered this answer because it was getting down voted and the only reason I can summize is that the embedded picture was too small to read so I've taken the main points and re-written them below.
Windings don't have reluctance - the magnetic core that a transformer (or inductor) is made from has magnetic reluctance. It's a bit like ohms law but for magnetics.
- Ohms law is resistance = volts/amp whereas for a magnetic core,
- Reluctance = ampere-turn/weber
So if you have 1 amp passing through ten turns producing 1 weber of magnetic flux you have a reluctance of 10 turns per henry. Yes ampere-turns per weber reduce to turns per henry.
because reluctance = effective length of wire/ (permeability X area )
Reluctance is also the length of the core divided by magnetic permeability and area of the core. The only consideration of wire length comes when you make turns
It seems that you are talking about "Leakage Reactance" as referred to primary and secondary windings of a transformer.
That reactance is actually a fictious reactance and it's formula has "not so easily measurable" parameters cause it deals with leakage flux paths, instead usual practice is to calculate overall reactance of transformer by short circuit test.
And no, leakage reactance as referred to primary and that referred to secondary need not to be equal.