Current-carrying coil and solenoid

[Meow12]

What is the difference between a current-carrying coil and a solenoid?

 

[Baluncore]

What is the difference between a current-carrying coil and a solenoid?

The difference is the current.
https://en.wikipedia.org/wiki/Solenoid

 

[Meow12]

The difference is the current.
https://en.wikipedia.org/wiki/Solenoid

Assume that the same current I passes through the coil and the solenoid. Honestly, that picture in the Wikipedia article looks like a coil to me. It seems that both a coil and a solenoid have N turns of a current-carrying wire with radius r, and I don't see the difference.

 

[Baluncore]

Assume that the same current I passes through the coil and the solenoid.

Then the only difference is the shape of the coil.
A solenoid is a helix.
A coil wound on a toroid, or as a planar spiral, is not a helix, so not a solenoid.