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A thin infinitely long thread carrying ...

A thin infinitely long thread carrying a charge `lambda` per unit length is oriented parallel to the infinite conducting plane. The distance between the thread and the plane is equal to `l`. Find :
(a) the moducles of the vector of the force acting on a unit length of the thread ,
(b) the disribution of surface chagre density `sigma (x)` over the plane, where `x` is the distance form the plane perpendicular to the conducting surface and passing through the thread.

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