When secondary of transformer is short-circuited, the primary inductance

A. Is increased
B. Is decreased
C. Remains the same 
D. None od above 

Answer with Explanation:
B. Is decreased

Explanation:
If you short the secondary you will get current that flows in both windings. 

For the same voltage at the same frequency, the current will go up. Thus the impedance dropped. 

Thus the measured inductance is smaller - smaller inductance is lower impedance, the opposite of capacitance.

If the secondary coil is shorted, the current in this coil is so directed that it opposes a change of flux.
 
Therefore the variation of the flux is much smaller, and so is the induced voltage in the primary coil.

When the secondary of the transformer is short-circuited, the primary inductance is decreased.

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