Transformers
The short circuit test helps us to find

Iron loss at no load
Cu loss at no load
Cu loss at any desire load
None of the listed here

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Transformers
In case of 3-phase induction motors, plugging means

locking of rotor due to harmonics
interchanging two supply phases for quick stopping
starting the motor on load which is more than the rated load
pulling the motor directly on line without a starter

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