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bosteador3
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Homework Statement
a thin rod of length L is set along an X axis. we want to find the electric field at a point P at the origin, a distance "d" from the rod. The linear change density changes with X and it's given by λ=λ0 ((x-d)^3)/d^3 find the electric field at the point P...
(P)|---d---| |--------------L-----------------|
L is the length of the rod, d is just a distance from the rod to the point P. P is at the origin (x=0)
Homework Equations
λ=λ0 ((x-d)^3)/d^3
dq=λ dx
The Attempt at a Solution
i put q/x on differential form to get dq=lambda dx do i get dE=kdq/r^2 ,(L+ d - x)^2 => E= (k*λ)/d^3 ∫(x-d)^3/(L+d-x)^2 dx... idk if I am wrong or what but i don't know how to solve that integral, i'd appreciate some help on this problem.