@aks786
There is an enormous difference between the 'earth resistance' and the resistance of a particular conduction path or channel through the Earth from one point to another, they are quite different things.
I'm sure that the manuals mentioned by Cabraham make this difference abundantly clear.
The resistance of the path or channel is found in the normal way by multiplying the resistivity (summing or integrating if necessary) by the path length and dividing by the cross sectional area. It is independent of the current flowing.
earth resistance, on the other hand, is a property of a particular point in the Earth to source or sink a particular level of current as defined in some local code. It does not imply that current passes from any point A to another specified point B many kilometres away. It is a prime use of the property of a circuit Earth to remain at constant potential, whilst sourcing or sinking current.
Incidentally the electric storm I mentioned earlier is a good example of the effect at DC.
@Good4you
I think you are beginning to get the idea. Of course our planet is not a perfect earth, it just seems that way for the levels of current that we can apply. So yes the single cable between planets would work at those levels.
The charge imbalance implied in assuming that a circuit Earth remains at constant potential is prety good for a planet. However for lesser Earth's, for example in electronic circuitry, it has to be taken into account in design calculations.
I think the concept of Earth is sufficiently fundamental but also so widely ill understood as to be worth debating so I started a thread when I first joined here.
https://www.physicsforums.com/showthread.php?t=382007&highlight=Earth's