Fun with conductors

Consider a long cylindrical conductor of radius r=2mr = 2 m placed above a large grounded conducting plane, such that its axis is parallel to the plane and is at at height h=3mh = 3 m above it. Given that the charge per unit length on the cylinder is λ=40μC/m\lambda = 40 \mu C/m , find the force experienced by the cylindrical conductor per unit length in Newtons

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