10. What is meant by an equipotential? Why is an equipotential a surface in space? When we draw it as a line, instead of a surface, what are we talking

about? Compare and contrast the electric field with electric potential. How are they related to each other? How are they different? Given a set of equipotential surfaces, how does one find the electric field lines? Show how to calculate the electric potential for the following: a constant electric field, a point charge, a collection of point charges, a dipole, and an arbitrary continuous charge distribution. How does one find the electric potential energy of a system of point charges? Write down and explain the meaning of the mathematical relationships between electric field and electric potential, in both differential and integral form.