OK
I don't know exactly what you're after here but I'll wing it. I assume you know what alternating current is. There is no direction of cur rent flow, so I am assuming maybe you men you want to determine which end i s the source.
Current readings will do you no good for that, the current is the same in a series circuit. If you want to know which end is "up" the best way is prob ably with an extremely extremely extremely accurate voltmeter with more res olution than anyone would ever though they would need. But for this...
If you are at mains frequency forget any and all time domain shit. I am pre tty sure none of them even today could tell you accurately at like line fre quencies.
That is it. People do not give enough detail. If you did I could figure out quite a bit more. Are you working in a sewer or on a utility pole ? Or is this in a building. At how many points can you get to this particular wire ?
Or is this some project in your LAB-OR-ATORY ? You need bandwidth, wind you r own. If you don't need high frequency just wrap ten turns of #12 THHN wir e around it and feed a 1KHz square wave through it. Get an audio equalizer and make that coil's waveform a square wave. You'll be fairly accurate thro ugh the audio spectrum.
Then for your actual measurement, after the scope is off having done its th ing, use a TRMS reading meter.
Maybe you have no interest in what I said here, but I have done well figuri ng out how to measure, calibrate and align things without using those multi thousand dollar machines that are probably good for no other purpose in the world ever.
I can measure your AC current from about 35Hz to about 150KHz. And I don't have to spend a dime to do it.