Some of you have really not grasped how the resting potential is generated. I apologize in advance for any possible errors in my handling of the English technical terms, as I am from, and am studying in, a non English speaking country.
The resting membarne potenital is generated by interaction of :
1. The conductances of the ions
2. The driving force for the ions
As there is a higher potassium concentration in the intracellular fluid compared to the extra cellular fluid, potassium tends to diffuse out of the ion channels in the membrane. This, however, creates an excess of postive charge on the outside of the cell. This gives rise to an electric force wanting to push potassium into the cell again. The energy arising from the concentration gradient can be calculated, the same goes for the energy created by the potential difference across the membrane. In steady state, these two driving forces are equal, hence one can put "Energy stored in the concentration gradient" = "Energy in the separation of electrical charge", and one gets the Nernst equation.
If the membrane is only permeable to potassium, then there will be no net movement of potassium over the membrane, as no current flows in the steady state. As current is proportional to the charge of the ion and the net movement of the ion, there can be no net movement of potassium, as that would give rise to a current that would change the membrane potential.
However, the leak channels of the neuron are permeable to both potassium and sodium. Hence the resting membrane potential is a compromise between the equilibrium potentials for sodium and potassium. The flow of these ions through the channels is determined by:
1. The conductance of the ion channels for the ion in question
2. The size of the force driving the ions through the channels
This gives rise to a current which is proportional to the conductance and the driving force. ( I = U/R Conductance = 1/R). As the permeability for potassium is greater, the membrane potential will have to be closer to the equilibrium potential for potassium to reach steady state. When the outward current carried by potassium is equal to the inward current carried by sodium, no net current flows across the membrane, and the resting potential has been reached. However, notice that although no net charge flows across the membrane, both sodium and potassium still flows down their concentration gradients!
This means that if the Na/K ATPase is blocked, sodium and potassium will flow down their concentrations gradients, which in the end results in that these gradients will disappear. This necessarily gives rise to a depolarisation, as the negative membrane potential is generated by the gradients in the first place. Of a bizarre reason, some peope in this thread seem to believe that the leak channels are impermeable to sodium, this is not the case. The Na/K ATPase do have an electrogenic effect (albeit very small), but it is NOT involved in the hyperpolarisation of a cell after it has fired an action potential. In fact, nor are voltage sensitive potassium channels necessary, which is illustrated by myelin sheated axons who lack these ions channels at the nodes of ranvier. (They are loacted in the internode) The hyperpolaraisation at a node of ranvier is caused by the closing of the voltage sensitive sodium channels. This returns the conductance of the membrane to normal. As the membrane potential at this point deviates from the resting membrane potential (decided by the concentrations of the ions), an outward current will flow out of the leak channels and return the membrane potential to its resting level.