Show, with the aid of a sketch, how the electric potential varies in the space cl positive point charge, and ii) close to a negative point charge. ose to i) a sketch also how the electric potential energy of both a positive charge and a negative charge varies as a function of distance from i) a positive point charge and i) a negative point charge. how how the electric potential close to a point charge can be obtained from coulomb's law (b) to recharge a 12-v battery, a battery charger must move 3.6 x 10% c of charge from the negative to the positive terminal. what amount of work is done by the battery charger? how many kilowatt hours is this? (c) how much electrical charge is needed to raise an isolated metal sphere of radius 1.0 m to a potential of 1 .0 106 v? (d) what is the resistance of 1,000 m of 4-mm diameter copper wire? (the resistivity of copper, pou 1.7 x 10-8 ω m)