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The region of space dominated by Earth's magnetic field is the magnetosphere. Observations have shown that, within this ...
This second field is inside the wire, pushing electrons in the wire towards the positive terminal. So it's this second electric field that causes the current to flow.
Springer. "Dowsing for electric fields in liquid crystals." ScienceDaily. ScienceDaily, 4 June 2019. <www.sciencedaily.com / releases / 2019 / 06 / 190604131227.htm>.
The electric field is related to the electric force, and that means it should be a vector. The value calculated above is from the slope, so it's just a scalar value.