A cylindrical wire made of some unknown material (not necessarily composed of atomic matter) has a radius of .5 mm, and a current of 1.5 A traveling to the right. The building blocks of the material (the "atoms") each provide one free charge to the material with a charge of 3.2×10^−19C, and these free charges have a density of 4.5×10^29 charges/m^3. (a) What is the drift velocity of the free charges in the material? Include the direction, i.e. left or right. (b) Assuming the current density is uniformly distributed over the cross sectional area of the wire and is directed along the wire, find the current density. Include the direction, i.e. left or right. (c) If this material has a resistivity of 5.4×10^−8Ωm, what is the electric field in the wire? Include direction.