MH's ideal coil and voltage question

[verpies]

Consider a series string of ideal inductors connected into a loop with a shorting wire. 

With or without mutual inductance?

If you induce a time varying current into the loop, would there not be a measurable voltage drop between the inductors due to the reactance of those inductors? 

If k<1 and the time varying current was caused asymmetrically, e.g. by varying the flux through only one of the inductors, then there would be a measurable voltage across that inductor as it would act as a voltage source in series with the other inductors.

[verpies]

1-If we have an inductor that has no resistance,and the two ends of that inductor are joined,so as the inductor is now just a continual loop of wire(shorted),can we place a voltage across that inductor that has no resistance.
2-If there is now a current flowing in that shorted ideal inductor,is there any two points across that ideal inductor where a voltage can be measured?

No to 1 & 2.

[verpies]

Do you believe you can you induce a current flow in an "ordinary" inductor with its ends shorted together?

Yes, by varying the flux penetrating that inductor.
And since that inductor has resistance now, then the current flow will cause a voltage drop across any two points on it.

[poynt99]

Brad, Mags,

Please see the attached.

This is the ideal varying voltage source MH poses in his question. It is an arbitrary wave form really, constructed of a number of voltage levels and times. That's all, nothing mysterious, other than it can source infinite current, being ideal and all.

Does this make sense now? I trust this is clearly understood.

The question is, what happens to the circuit current?, i.e. draw out the circuit current on this same graph.

[verpies]

Brad, the short answer is that you can always place a voltage source across an ideal inductor even if it has "zero resistance." 

I think you are conflating the series connection of the voltage source and the inductor with the parallel connection of the voltage source to a shorted inductor, as stipulated by Tinman,
Picowatt wrote that you had a different connection in mind earlier in the thread (which I did not read) so the meaning of the word "across" might be at the root of your disagreement with Tinman.