A line of charge lies along the x-axis extending from x=0m to x=3m. The line charge densit is a function of the distance from the coordinate beginning x and is given by λ=2x [nC/m].

a) Find the total charge of the line charge Q.

b) Using Coulombs law calculate the electric field on the x-axis at x=6m and at x=250m.

c) Find the field at x=250, assuming that you have a point charge at x=0 whose charge is the same as the total charge Q of the line charge.

d) Compare the result with the value calculated under b. Comment on the difference between the two values.