I appreciate the effort. I wish we could have the discussion on voltage gradients around metal objects, but we can't and I don't want to start the entire conversation again. But the following is from IEEE 142.
2.2.8 Connection to Earth
Earth is inherently a rather poor conductor whose resistivity is around one billion times that of copper. A 10 ft (3 m) long by 5/8 in (16 mm) diameter ground rod driven into earth might very likely represent a 25 ohm connection to earth. This resistance may be imagined to be made up of the collective resistance of a series of equal thickness concentric cylindrical shells of earth. The inner shell will of course represent the largest incremental value of resistance, since the resistance is inversely proportion to the shell diameter. Thus the central small diameter shells of earth constitute the bulk of the earthing terminal resistance. Half of the 25 ohm resistance value would likely be contained within a 1 ft (0.15 m) diameter cylinder (see 4.1.1).
For the same reason, half of the voltage drop resulting from current injection into this grounding electrode would appear across the first 0.5 ft (0.15 m) of earth surface radially away from the ground rod. If a current of 1000 A were forced into this grounding electrode, the rod would be forced to rise above mean earth potential by 25 000 V (1000 • 25). Half of this voltage (12 500 V) would appear as a voltage drop between the rod and the earth spaced only 0.5 ft (0.15 m) away from the rod. While this current is flowing, a person standing on earth 0.5 ft (0.15 m) away from the ground rod and touching the connecting lead to the electrode would be spanning a potential difference of 12 500 V. A three-dimensional plot of earth surface potential versus distance from the ground rod would create the anthill-shape displayed in Fig 36. The central peak value would be the rod potential (referred to remote earth potential), namely, 25 000 V. Moving away from the rod in any horizontal direction would rapidly reduce the voltage value. The half-voltage contour would be a horizontal circle 1 ft (0.3 m) in diameter encircling the rod.
Mike Holt
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