A thin infinitely long thread carrying a charge X per unit
length is oriented parallel to the infinite conducting plane. The
distance between the thread and the plane is equal to 1. Find:
(a) the modulus of the vector of the force acting on a unit length
of the thread;
(b) the distribution of surface charge density a (x) over the plane,
where x is the distance from the plane perpendicular to the conducting
surface and passing through the thread.