You put a voltage across a metal wire and examine the progress of a group of electronsthat begin at a certain point. You notice that after 4 secondsthey have gone an average distance of 0.10m in the +x direction through the wire and have spread out to the point where their standard deviation about this location is 10^-3m. They undergo 10^12 collisions per second.
a) What is the average distance gone in the +x direction between any two successive collisions?
b)What is the standard deviation for the average distance traveled between any two successive collisions?
c) If the density of conduction electrons is 10^27 m^3 and the wire has a radius of one millimeter, what is the electrical current through this wire?