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is my solution correct ..

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here is a question:
there is endless wire uniformly charged [latex]\lambda=2*10^{-4}C/m[/latex]
and close to it located a wire with [latex]l=0.12_m[/latex]
which has 30 degree angle between him and the endless wire,and it charged in uniformed way so that the total charge on it is [latex]q=3*10^{-9}[/latex]
the distance of the finite wire and the infinite wire is 0.08 meters

A.find the total force acted on the finite wire.
B.find it when [latex]\alpha=0 [/latex]degrees and when [latex]\alpha=90 [/latex]degrees.

gaus law for infinite wire i presume its length is l and distance r.
[latex]E2\pi r h=\frac{q}{\epsilon_0}\\[/latex]
[latex]E=\frac{q}{\epsilon_0 2\pi r h}=\frac{\lambda h}{\epsilon_0 2\pi r h}=\frac{\lambda }{\epsilon_0 2\pi r }\\[/latex]
[latex]l_0=l_2\cos \alpha\\[/latex]
[latex]\int_{0}^{l_0}Edl=\int_{0}^{l_0}\frac{\lambda }{\epsilon_0 2\pi r }dl[/latex]

i sum along the finite wire
but the ditance from the infinite changes too.
so it should be a double integral
but its not a 2d body

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