Please read this:
How does the resistance of a wire depend on its length?
... The analogy used is that of a crowded place.
If you want to move through a crowd, if there is more space, then it’s easier (hence inversely related to A), and if the crowd is ‘longer’ it takes more time to make it across.
The first part makes sense, more space, means easier to move through, but I always had this problem with the second part of the analogy. It just didn’t make sense.
Let me be more specific.
Current is proportional to the speed of the charged particles. So in the crowd analogy, the current is proportional to the speed at which you can make it through. What does your speed have anything to do with the length of the crowd? ... If you think of it this way, the resistance shouldn’t depend on the length at all. How could the material start resisting more at one place, just by adding another wire at some other place? ...
The key is to understand that charges are being pushed through the wire due to an electric field. When the wire is short, the electric field is more concentrated and hence stronger. If the wire is doubled in length, the electric field gets more diluted and reduces to half its strength.
This is why increasing the length of wire, reduces the speed of the charges and hence translates to increasing the resistance of the wire. ... Let’s get back to that crowd and imagine you and your friends are trying to make it through the crowd. The important thing is there is someone externally providing energy to you and your friends to move through the crowd. Now only those of you need energy who are within the crowd length. Your friends outside the crowd length don’t need any energy as there is no opposition.
Now if the crowd length doubles, then twice the number of people are trying to make it through the crowd. But the external total energy remains the same. And so when distributed, each of you gets half as much as you got before, and hence you end up moving slower. ... And this why resistance increases with length because for a given voltage, lesser energy is transferred to each electron.
I found this answer to be most satisfying for answering of why current decrease when length increase, but if we extend this analogy or explanation towards area, than in area increase there should be atom increase, i.e electron increase, that should lead to high resistance according to above link answer.
Many say that when the area increases, the space to move increases. That gives a low resistance. Don't you think area increase means electron increase so how could there be more space? Really no logic? They are seeing it as amount of electrons remain the same just the area increases. That is not possible. The more metal, the more free electrons?
Could anyone tell me where I am wrong or give a satisfying explanation for both area, length concept all together?