Suppose we have a 2-dim. electrostatic field which varies with the coordinates x and y but is independent of z. Show that the average value of the potential on any circle parallel to the xy plane equals the potential at the center of the circle, provided the charge density in the region is zero.
Suppose we have a 2-dim. electrostatic field which varies with the coordinates x and y but is independent of z. Show that the average value of the potential on any circle parallel to the xy plane equals the potential at the center of the circle, provided the charge density in the region is zero.
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Transcribed Image Text:Suppose we have a 2-dim. electrostatic field which varies with the coordinates x and y but
is independent of z. Show that the average value of the potential on any circle parallel to
the xy plane equals the potential at the center of the circle, provided the charge density in
the region is zero.
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