(adsbygoogle = window.adsbygoogle || []).push({}); Electric field on a tapered cylinder???

I have a rod which is 1" in diameter, and 4 inches long, the last inch of one side of the rod tapers down to a point of 1/10th inch (.01).

The rod also has a cylinder which it fits in, which has a taper which follows the rods taper exactly. There is a gap between the rod and cylinder through the whole length of .01

If a voltage were applied to the large diameter end of the inner rod of +100V. And the (outer) cylinder was grounded, What would the voltage be at the point which is 1/10th the diameter of the large end?

Since the rod and cylinder essentially form a capacitor, would the smallest area (tapered point) have the largest charge? Would the charge be magnified, or greater than the applied charge because of the reduced area?

How could the charge at the point be calculated?

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# Electric field on a tapered cylinder?

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