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A very long straight thread is oriente...

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 `lambda`. 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 point `O`.
(b) as a function of a distance `r` from the point `O`.

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