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lets say theres a rod on the Y and there is a test charge Q located a distance D from the rod on the 45degree line that bisects the x and y axes. (that is the line f(x) = x, identity function) Write an equation in vector component form (???) for hte force on this charge.

Started off like this

I'd do the Forces of x direction i nthree parts for the top , middle and bottom

for the top integrate from 0 to d-L/2 for kQ(lambda)d dL/(2d^2 + L^2/4 - 2dL)

am i on the right track? or am i going off on a tangent

Please do not suggest gauss law i dont know how to use it