1. The problem statement, all variables and given/known data A thin rod of length 2L has a linear charge density that isλ0 at the left end but decreases linearly with distance going from left to right in such a way that the charge on the entire rod is zero. Given E = −kλ0/L(d/(L−d)−ln(d−L)+d/(L+d)+ln(L+d)) for a point P that is distance d>l to the right of the center of the rod: How does this expression simplify to a familiar result for the limiting case d≫L? (Hint: The dipole moment of the rod has magnitude p=2λ0L2/3.) Express your answer in terms of some or all of the variables p, d, and Coulomb's constant k. 2. Relevant equations p=q*d ? E = −kλ0/L(d/(L−d)−ln(d−L)+d/(L+d)+ln(L+d)) p=2λ0L2/3 λ=λ0(1-x/L) 3. The attempt at a solution I don't have a clear idea of where I'm going in this problem. I started with the limiting case, and narrowed down the E equation to E= (−kλ0/L)(1-ln(d)+1+ln(d)) E= (−kλ0/L)(1+1) E= (−kλ0/L)(2) E= -2kλ0/L I don't think this is correct, because the answer has to be defined by no other variable than p, d, and k. Because of that, I know I have to use their equation for p, but I don't know how to use it. Frankly, I don't even know if my first step was correct. I could definitely use some guidance in the right direction right now. Thank you very much!