Yes Bill, I am fully aware of the single conductor = one turn thing.
And, to take that a bit further, it is the priary winding in a transformer. The secondary winding is usually connected to a low ohm burden, where the measurement is made - be it a relay coil, a meter movement or an electronic amplifier - as is usual in clamp-on meters.
If the secondary were shorted (burden = zero ohms) it would be like shorting the secondary of an ordinary transformer - no counter-EMF and lots of primary current. In other words; no inductor.
That is exactly what happens when you short a CT. No voltage drop across it. It is only when you have a burden where secondary current develops a voltage that you notice the presence of the core. So you can, in effect, have a core circling a conductor without having any inductance in it at all.
It is quite revealing to do a simple experiment: connect a DMM with AC mV range to two points a couple of inches apart on a current carrying conductor. Then put a clamp-on ammeter between them. If you have enough current (abt 10 amps), then you will see voltage increase. Sometimes the voltage is dependent on what current range (different burden) you select.
Gunnar Englund
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100 % recycled posting: Electrons, ideas, finger-tips have been used over and over again...