As shown in the figure on the right, a straight segment of wire is hovering above...

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As shown in the figure on the right, a straight segment of wire is hovering above an infinite horizontal grounded conductor plane (for simplicity, set the plane at z = 0). The wire is placed along the vertical axis. The bottom end of the wire is at a distance a above the plane. The length of the wire is L. The wire carries a uniform positive line charge density + ( > 0). a) Use the method of images to find the electric potential at an arbitrary point (x, y, z), where z > 0. b) Find the induced surface charge density on the plane. As shown in the figure on the right, a straight segment of wire is hovering above an infinite horizontal grounded conductor plane (for simplicity, set the plane at z = 0). The wire is placed along the vertical axis. The bottom end of the wire is at a distance a above the plane. The length of the wire is L. The wire carries a uniform positive line charge density + ( > 0). a) Use the method of images to find the electric potential at an arbitrary point (x, y, z), where z > 0. b) Find the induced surface charge density on the plane.