1) What does the electric potential at a point exactly mean? My teacher tells me that current flows from higher potential to lower potential but when I ask him the reason, he fails to give me a convincing answer.
3) Further, when I referred a Physics textbook it said that since Coulomb's force & Gravitational force are mathematically similar, electric potential is a charge's equivalent of a the potential energy of mass. Hence I related Electric potential to the potential energy of a ball for example. A ball falls from a height to the ground because of Potential energy- so similarly, current flows from higher to lower potential. Is this analogy correct?
Even if the above analogy is correct, I still cannot understand why current flows between two electrodes of an electrochemical cell. The only explanation my teacher offers is that there is a potential difference & thus current flows from higher to lower potential. This explanation is not of any help since I don't understand what potential is in the first place!
4) If the analogy is valid, then how do the electrons in the Electrochemical cell move without an electric field to impart the electric potential energy? (as in gravitational energy where the potential energy is present only if gravitational force is present? In space, no object of any mass has weight)