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|dw:1434819007297:dw|
note \(\Phi = BA\), \(\Phi \) is flux

Thanks for that reply... still unsure whether your sketch is depicting (specifically) cross-sectional area of the 'core' itself, or "core + windings". To *ADD* to the over-all problem, I remain uncertain as to whether the formula shown (link in original post) deals strictly with a single-layer coil ONLY...(?)
I have *scoured* literally scores of sites (and several engineering books), and tried numerous "online calculators" trying to ascertain HOW to estimate (i.e., calculate) the inductance of a large/multi-turn coil (e.g., several hundred turns of, let's just say for example, #10 AWG magnet wire (core diameter, 10-inches))
...something similar to the attached image ((from: http://info.ee.surrey.ac.uk/Workshop/advice/coils/air/area.xhtml))
...though larger diameter air-core.
Inductance (L) is needed, in order to determine its Inductive Reactance, in order to begin to *estimate*, ultimately, its current draw.
\[X_{L} = 2pifL\]
Then (current):
\[I = \frac{ V }{ \sqrt{X _{L}^{2}+R ^{2}} }\]
(1st time with equation-inserter, here; pi doesn't seem to co-operate)