The membrane of the axon of a nerve cell is a thin cylindrical shell of radius r- 10 m, length L 0.48 m, and thickness d 108 m. The membrane has a positive charge on one side and a negative charge on the other, and acts as a parallel plate capacitor of area A 2arL and separation d. Its dielectric constant is about 7.
1)
C= k Eo A /d
where k= dielectric constant
Eo=permittivity of free space
A = area
d= distance between plates
k=7
Eo=8.854e-12 F/m
A=2 X pi X r X L=3.0159e-5 m2
d=E-8 m
C= 1.869e-7 F
=186.9 nF
2)
V= Ed=q X d / (k Eo A)
Where E= electric field
from above equation q= V k Eo A /d=(97e-3 X 7 x 8.854e-12 x 3.0159e-5)/e-8 (these e denote 10 ^ )
18.131nC
3)E= V/d=97e-3/e-8=9.7e6 V/m=9700000 V/m
The membrane of the axon of a nerve cell is a thin cylindrical shell of radius...
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