Designing an EMP Generator for school :^)
over 0.5 millimeter, you can only wrap the tiniest of wire gauge.

Give copper of size a METER has thermal time constant 9600 seconds,
of size 0.1 meter is 96 seconds,
of size 0.01 meter is 0.96 seconds
of size 0.001 meter (1 millimeter( is 0.0096 seconds (9.6 milliseconds)
of size 0.0001 meter (100 microns, or 4X that of bondwires used in silicon packages)
is 0.000096 seconds or 9.6 microseconds,  

then the thermal duration 9.6uS >> 1uS suggests you CAN build something that thermally MIGHT survive long enough.

You can now examine the mechanical stresses (sudden acceleration) of gold wires (why not) only 25 micron in diameter.

And examine the rate of heat generation, to determine if the many? turns of gold wire will vaporize, or that the surface merely will ablate away because SKIN EFFECT will keep the heat on the surface.

Have fun.