Is a transformer a resistive load?

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No. It is mainly an inductive load with some parasitic resistance and capacitance thrown in.
 
I feel, it depends on the load on the transformer, though the transformer itself contributes due to copper and itron losses.

if the major load on the secondary of the transformer is resistive, the self inductance of transformer alone would amount to only say 3 or 4 % and the rest depends on the actual load. the transformer characteristics obviously depend on the Quality of the manufacture.
 
A transformer is nearly purely inductive when unloaded and nearly purely resistive when fully loaded with a resistive load.

When fully loaded with a purely resistive load the leakage inductance is responsible for the small about of inductance.
 
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