For each of the following statements, say whether it is true or false and explain why it is true or false. Be complete in your explanation, but be brief. Pay particular attention to the distinction...

For each of the following statements, say whether it is true or false and explain why it is true or false. Be complete in your

explanation, but be brief. Pay particular attention to the distinction between potential V and potential difference ΔV.

(a) The electric potential inside a metal in equilibrium is always zero.

(b) If there is a constant large positive potential throughout a region, the electric field in that region is large.

(c) If you get close enough to a negative point charge, the potential is negative, no matter what other charges are

around.

(d) Near a point charge, the potential difference between two points a distance L apart is −EL.

(e) In a region where the electric field is varying, the potential difference between two points a distance L apart is −(Ef

− Ei)L.