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In this problem we want to calculate the electric field due to several charge linear distributions...

In this problem we want to calculate the electric field due to several charge linear distributions .a) Consider a thin rod of length L. The rod carries a uniform charge density, λ, and total charge Q. Calculate the electric field at a point p that is on the rod’s cylindrical axis of symmetry and a distance d away from the end of the rod. Do this by direct integration. How does your expression be have as L→∞?b) Repeat, with the rod’s charge density being λ=αx, whereαhas a numerical value of 0.25 (what are the dimensions and units of α?)?

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