The equations of the hyperbolic surfaces are |xy|=b2, where b is a constant. (We can interpret b as giving the locations x=±b, y=±b of the four points on the surfaces that a...The equations of the hyperbolic surfaces are |xy|=b2, where b is a constant. (We can interpret b as giving the locations x=±b, y=±b of the four points on the surfaces that are closest to the central axis.) There is no obvious, pedestrian way to determine the field or voltage in the central vacuum region, but there's a trick that works: with a little mathematical insight, we see that the voltage V=Vob−2xy is consistent with all the given information. (Ma…
