A fuse on the output will give Better protection for your transformer for overloads.
If your auto-transformer is set for 5% output, it would have to develop 70 Amps output before the primary current reached 3.5 Amps.
The windings won't take that much current without overheating rapidly.
As Keith says, look for damage where the wiper or brush was positioned at the time of the incident.
Also examine the windings on the short side of the brush. Look for discolouration or burning.
When you energize the transformer, be careful.
If some windings have shorted due to overheating, they may be expected to overheat quite rapidly when the transformer is re-energized.
A shorted turn may circulate a lot of current with not enough primary current to trip a 15 Amp circuit breaker, for quite a while.
Bill
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Ohm's law
Not just a good idea;
It's the LAW!