Why not have 1 really long myeling sheat?

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In order for the action potential to travel down the axon, sodium must have a way to get in. The sodium channels are located at interruptions in the myelin sheath (nodes of ranvier). If there was just one long myelin sheath, sodium wouldn't be able to get into the axon and the action potential would dissipate before it reaches its target.
 
Oh I should have been more clear, sorry. Lets say that at each end of this hypothetical long sheath, there were the proper channels. Then sodium could get in at the beginning.

The reason I ask is:
I read that myelin increases the speed of conductivity because the signal does not have to keep getting passes through all these channels (a time intensive process). So, I thought, if that is the case, why not just jeep decreasing the number of channels until you have one at the end and one at the beginning.
 
Without going into too much detail, basically the axon is still has some potassium permeability even with the myelin sheath (although it is lower). Leakage of potassium out of the axon causes repolarization of the axon cytoplasm. This occurs even when you have a myelin sheath. So as the action potential is traveling down the axon, it is getting less and less positive. At some point, if you don't have another sodium channel to re-depolarize the axon cytoplasm, enough potassium will leak out and the axon cytoplasm will return to its basal electric potential. So these nodes of Ranvier are spaced out so that when the action potential reaches the next one, the potential will still be above the threshold for depolarization, and it will cause sodium to enter the axon and further propagation of the action potential.
 
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