(a) Find the capacitance of the membrane. (b) the charge on each side of the mem

Question

(a) Find the capacitance of the membrane.

(b) the charge on each side of the membrane,

(c) the electric field through the membrane.

The membrane of the axon of a nerve cell is a thin cylindrical shell of radius r = 10-5 m, length L = 0.37 m, and thickness d = 10-8 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 = 2 pi rL and separation d. Its dielectric constant is k= 2. Find the capacitance of the membrane. the charge on each side of the membrane, the electric field through the membrane.

Explanation / Answer

A=2pirL =2pi*10^-5*0.37 =2.32*10^-5 m^2

C=KeoA/d =2*8.85*10^-12*2.32*10^-5/10^-8

C=4.11*10^-8 F or 41.1 nF

b)U HAVE NOT PROVIDED POTENTIAL ,IF U KNOW JUST SUBSTITUTE AND CALCULATE

Q=CV

FOR EXAMPLE V=45 mv

Q=4.11*10^-8*45*10^-3 =1.85*10^-9 C or 1.85nC

c)

E=V/d

for example V=45 mV

E=45*10^-3/(10^-8)

E=45*10^5 N/C

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