The membrane of the axon of a nerve cell is a thin cylindricalshell of radius r = 10-5 m, length L =
The membrane of the axon of a nerve cell is a thin cylindricalshell of radius
r = 10-5 m, length
L =0.12 m, and thickness
d = 10-8 m. The membranehas a positive charge on one side and a negative charge on theother, and acts as a parallel-plate capacitor of area
rL and separation
d. Its dielectricconstant is about
κ = 6. (a) Find the capacitance of the membrane.
____ nF (b) If the potential difference across the membrane is 35 mV, findthe charge on each side of the membrane.
_____ nC (c) Find the electric field through the membrane.
_____V/m . . .
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