Fun with conductors

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

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