(a) If the electric field is zero in some region of space, the electric potential must also be zero in that region. a. true b. false (b) If the electric potential is uniformly zero in some region of space, the electric field must also be zero in that region. a. true b. false (c) If the electric potential is zero at a point, the electric field must also be zero at that point. a. true d. false (d) Electric field lines always point toward regions of lower potential. a. true b. false(e) The value of the electric potential can be chosen to be zero at any convenient point. a. true b. false (f) In electrostatics, the surface of a conductor is an equipotential surface. a. true b. false(g) Dielectric breakdown occurs in air when the potential is 3 times 106 V. a. true b. false

a) true, b) true, c) false, d) true, e) true, f) true, g) true    

Explanation:

The electric field and the electric potential are related by the equation

           ΔV = - ∫ E .ds

a) From this expression we see that if E = 0 the difference in power in that region is zero

       ΔV = 0

      True

b) if the electrical potential in a region is zero, its difference is also zero, so

           E = 0

        True

c) The potential is zero at one point, but at another point it can be different from zero so its difference is different from zero and E ≠ 0

         False

d) in the equation we see that the sign indicates that the field is in the negative direction of the potential change, points towards the area of least potential

         True

e) The important thing is the difference between two points, so the starting point can be selected at a zero value for convenience

       True

f) The entire surface of a conductor must be at the same potential, because if it were not so the electrons felt one outside and would move

        True

g) the value depends on the pressure at atmospheric pressure of 1.01 10⁵ Pa is 3 10⁶ V

         True