Yes - of course, between two poles of opposite polarity there is an E-field. A soon as there is a conducting material between both poles the field is mainly forced "into" this conductor. And it is the field which causes the movement of charges called "current".[/QUOTE]
Begging to differ, but the "field" inside the battery does NOT "cause" the current inside the battery. The charges inside the battery are propelled by the reduction/oxidation chemical reaction, or "redox" for short. Currents cannot be created by an electric field unless said E field loses energy in the process. A capacitor is a prime example. If a resistor is connected in parallel with a charged cap, with a series switch open, then that switch is closed, a current takes place. The cap E field gives rise to this transient current. But the energy in said E field decreases as does the current, after several time constants the field cannot support current because it has expended its energy.
A battery E field can "cause" current only short term, the redox reaction keeps replenishing said internal battery E field. If a battery delivers 1 amp to an external load, the redox reaction must deliver 1 amp inside the battery to replenish the E field energy. Long & short of it:
Inside battery - redox creates current. Current generates E field. Redox ---> current ---> E field.
Outside battery - E field ---> current.
The current which creates the E field is the same value as the load current created by E field. But the internal & external current are the same per Kirchoff.
It is incorrect to think that the E field "causes" the current. They are mutually inclusive. No causality in general.
Claude