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thetest
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Homework Statement
Thin rod AB has length l=100 cm and total charge q0=37 nC that is distributed in such a way that its line density λ is proportional to the square of the distance from the end A, i.e. λ(x) =kx2. Determine electric field E at the end A of the rod.
Homework Equations
E = kq/r^2, λ = Q/l, dq = λdl
The Attempt at a Solution
I tried doing substituting the line density into the integral of the electric field making: dE = kλdl/r^2 and then I get stuck because if I try to make r = x then the line density will cancel with the x^2 and leaving just the K and I don't know what K is or how to solve for it. If someone can help me with this problem it would be greatly appreciated. Thanks!