P 2. Charge is uniformly spread along an infinite conducting wire of radius, R = 2.00 mm giving the wire a uniform linear charge density of 2 = 60.00 pC/m as shown above. a. Use Gauss's law to find an expression for the magnitude of the electric field a distance r = 1.00 mm from the central axis of the conducting wire. b. Use Gauss's law to find an expression for the magnitude of the electric field in terms of the radial distance, r from the wire's central axis for r > R. c. Determine the electric potential difference between points Pl and P2 which are distances a = 4.00 cm and b = 18.00 cm from the wire's central axis respectively. d. Determine an expression for V(r) for this infinite wire charge distribution. Explain where we should we set V = 0. (ie. r = 0, r= oo, r = 1 cm, etc.)