Problem

A long, grounded conducting cylinder of radius b is placed along the z-axis in an initiall...

A long, grounded conducting cylinder of radius b is placed along the z-axis in an initially uniform electric field E0 = axE0. Determine potential distribution V(r, ϕ)and electric field intensity E(r, ϕ)outside the cylinder. Show that the electric field intensity at the surface of the cylinder may be twice as high as that in the distance, which may cause a local breakdown or corona. (This phenomenon of corona discharge along the rigging and spars of ships and on airplanes near storms is known as St. Elmo's fire.)

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