Determine whether or not each of the following statements is true. If a statement is true, prove it. If a statement is false, provide a counter example and explain how it constitutes a counter example. 1. A capacitor consists of two flat, metal plates with unequal areas. Each of the plates starts neutral, and then each plate is connected to a different terminal of a battery. After some time, the plates will have excess charge on them, and the magnitude of the excess charge on one plate will equal the magnitude of the excess charge on the other plate.
2. If a wire carries current, then it has a net nonzero charge in it.