[題目] 電磁學
1.A uniform line charge A is placed on an infinite straight wire,
a distance d above a grounded conducting plane.
(Let's say the wire runs parallel to the x-axis and directly
above it, and the conducting plane is the xy plane.)
a). Find the potential in the region above the plane.
b). Find the charge density ¾ induced on the conducting plane.
2.A rectangular pipe, running parallel to the z-axis(from +infinite to
-infinite), has three grounded metal sides, at y = 0, y = a, and x = 0.
The fourth side, at x = b, is maintained at a specified potential V0(y)
a). Develop a general formula for the potential within the pipe.
b). Find the potential explicitly, for the case V0(y) = V0 (a constant).
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