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A very large conducting plate (grounded) covers the yz plane. An infinitely long wire with constant...

A very large conducting plate (grounded) covers the yz plane. An infinitely long wire with constant linear charge density λ is placed at a distance d from the plate. You can assume that the wire is at position (x, y) = (0, d) and extends along the z direction.

a) Draw the location of the image charge that gives V = 0 on the conducting plate. Indicate value(s) and position(s) of the image charge(s).

b) Determine V (x, y) where the point (x, y) is an arbitrary position (with x > 0 that is not on the line charge.

c) Determine the surface charge density at point (x, y) = (0, 0)

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