How is the current defined?

Is the current defined in terms of F = I*L*B, i.e. a force between two current carrying wires? And then they somehow figure out the continuity equation: integral of current density = -dq/dt ? They somehow figure out that this current is equal to -dq/dt,

Or is the current defined as i = -dq/dt? And then they introduce the current density and just say that "integral of current density = -dq/dt"?

Here:

https://en.wikipedia.org/wiki/Ampere

I see that it is defined in terms of force and a proposed further definition is in terms of q.

But for now it is defined in terms of force. So what is the logical process through which they realized that i is also -dq/dt?

Is the current defined in terms of F = I*L*B, i.e. a force between two current carrying wires? And then they somehow figure out the continuity equation: integral of current density = -dq/dt ? They somehow figure out that this current is equal to -dq/dt,

Or is the current defined as i = -dq/dt? And then they introduce the current density and just say that "integral of current density = -dq/dt"?

Here:

https://en.wikipedia.org/wiki/Ampere

I see that it is defined in terms of force and a proposed further definition is in terms of q.

But for now it is defined in terms of force. So what is the logical process through which they realized that i is also -dq/dt?

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