This one is crazy!

Electricity and Magnetism Level 3

A thin wire ring of radius $r$ carries a charge $q$ . The ring is oriented parallel to an infinite conducting plane and is separated by a distance $l$ from it. Find the surface charge density at a point of the plane symmetrical with respect to the ring.

\frac{-q \times l}{3\pi \times (l^2 + r^2)^{3/2}}

\frac{-q \times l}{4\pi \times (l^2 + r^2)^{3/2}}

\frac{-q \times l}{2\pi \times (l^2 + r^2)^{3/2}}

\frac{-q \times l}{5\pi \times (l^2 + r^2)^{3/2}}

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