finally i have a uniform conducting wire which is 1 meters in length, 0.002 meter^2 in area with rho being 5 ohm*meter since nothing is changing over time, ie length, area and resistivity can be assumed as constants. can we not? so now R = K however this case will hold true even wrt dimensional consistency because resistance is a constant if all the other variables are fixed. ok i think i beat the problem to death. i won't comment on this any more. hope i was help ~Birbhadra