More on Electric Potential

One can use the electric potential/altitude analogy to solve some difficult problems qualitatively

Electric potential is related to kinematics of charged particles just as gravitational potential is to massive particles

One can solve kinematic problems either via the electric potential, or the electric field. Use whichever is more natural for the problem at hand

Electric potential between two points is independent of the path taken between them (because electric force is conservative)

Electric potential is constant along equipotential surfaces

Electric potential is the same inside a close conducting surface as it is on the surface

To calculate the electric potential due to a continuous distribution of charge, use the familiar method of integrating over the distribution