Consider a piece of copper wire that is \(10 \mathrm{~m}\) long and has a diameter of \(1.0 \mathrm{~mm}\). The number density of free electrons in copper is \(8.4 \times 10^{28}\) electrons \(/ \mathrm{m}^{3}\). If the wire carries a current of \(2.0 \mathrm{~A}\), what are \((a)\) the magnitude of the potential difference across the wire, \((b)\) the drift speed of the electrons in the wire, and (c) the average time interval between collisions for the electrons?