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A line charge density λ of length L stands perpendicularly on an infinite conducting grounded plane. a) Find the electric field at the ground plane surface E as a function of radius r (reference figure). b) Find the surface charge density on the ground plane. c) Prove that the total charge induced on the plane is −λL d) Determine the potential as a function of r and z for z > > L

A line charge density λ of length L stands perpendicularly on an infinite conducting grounded plane. a) Find the electric field at the ground plane surface E as a function of radius r (reference figure). b) Find the surface charge density on the ground plane. c) Prove that the total charge induced on the plane is −λL d) Determine the potential as a function of r and z for z > > L

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A line charge density λ of length L stands perpendicularly on an infinite conducting grounded plane. a) Find the electric field at the ground plane surface E as a function of radius r (reference figure). b) Find the surface charge density on the ground plane. c) Prove that the total charge induced on the plane is − λ L d) Determine the potential as a function of r and z for z >> L

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