Question: A very long straight thread is oriented at right angles to an infinite conducting plane; its end is separated from the plane by a distance

A very long straight thread is oriented at right angles to an infinite conducting plane; its end is separated from the plane by a distance l. The thread carries a uniform charge of linear density 4. Suppose the point O is the trace of the thread on the plane.
Find the surface density of the induced charge on the plane
(a) At the point O;
(b) As a function of a distance r from the point O.

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