The answer
This is a good question.
It actually has very little to do with the RMP or intracellular Ca. Remember membrane potential is determined by electrochemical (electrical and concentration) gradients and
conductance. K and Cl are really the only ions that have a high conductance at RMP (Na conductance is small until threshold). Equilibration potentials for ions are:
K ~ -90 mV
Cl ~ - 70 mV
Na ~ +60 mv
Ca ~ +125 mV
RMP is about -70 to -80 mV, close to the only two ions (K and Cl) that have high conductances. Both the Na/K ATPase and leaky K channels help maintain RMP until the cell is depolarized.
Because Ca has essentially zero conductance at RMP, hyper-/hypocalcemia will not alter the resting membrane potential in any significant manner. However, Ca does have the important role of modulating the behavior of Na channels.
Divalent cations (E.g. Ca) have a small affinity for the Na channel and can essentially "plug" it up during the influx of Na. At normal Ca levels, this acts as an important modulator of excitability. Hyper-/hypocalcemia can alter that modulating activity as follows:
Hypercalcemia: there are more Ca ions to "plug" the Na channel, thus Na influx will be
reduced in
neurons transmitting impulses resulting in muscle weakness, constipation, etc.
Hypocalcemia: there are less Ca ions to "plug" the Na channel, thus Na influx will be
increased in the
neurons transmitting impulses resulting in muscle twitching, tetany, etc.
The literature states that changing extracellular Ca is
like changing the
threshold potential. For example hypercalcemia would increase (make less negative) threshold potential, while hypocalcemia would decrease (make more negative) threshold potential. Thus at RMP, each scenario would required wither more or less input to reach threshold and thus and action potential. However, in reality, RMP does not change.