CALC Two thin rods of length L lie along the x-axis, one between and the other betw...

CALC Two thin rods of length L lie along the x-axis, one between and the other between Each rod has positive charge Q distributed uniformly along its length. (a) Calculate the electric field produced by the second rod at points along the positive x -axis. (b) Show that the magnitude of the force that one rod exerts on the other is

(c) Show that if a >> L, the magnitude of this force reduces to ( Hint: Use the expansion ln(1 + z) = valid for |z| << 1. Carry all expansions to at least order L²/a².) Interpret this result.