(Solved): An axon bas a diameter D=2R=1m, membrane thickness d=7nm, and a dielectric constant x=7 A. Calc ...

An axon bas a diameter $$D=2R=1?\mathrm{m}$$, membrane thickness $$d=7\mathrm{nm}$$, and a dielectric constant $$x=7$$ A. Calculate the capacitance per unit length of an axon in $$\frac{F}{\mathrm{m}}$$. Do it by treating the cylindrical capacitor as opened and flattened into a "parallel plate capacitor" as pictured - this is accurate if its thickness is small compared to the diameter, as in this case. (Hint. Give it some general length " $$L$$ " just to compute the capacitance of the axon, then divide by that length.) B. Calculate the amount of electrical energy stored in an axon of length $$1\mathrm{mm}$$. C. What is the total charge per unit length of an axon? D. What is the electric field inside the membrane of a resting nerve cell?