(a) Find the capacitance of the membrane. ( )nF If the potential difference acro

Question

(a) Find the capacitance of the membrane.

(   )nF

If the potential difference across the membrane is 85 mV, find
(b) the charge on each side of the membrane

(   )nC

and
(c) the electric field through the membrane.

(   )V/m

The membrane of the axon of a nerve cell is a thin cylindrical shell of radius r = 10-5 m, length L = 0.41 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 = 7. Find the capacitance of the membrane. ( )nF If the potential difference across the membrane is 85 mV, find the charge on each side of the membrane ( )nC and the electric field through the membrane.( )V/m

Explanation / Answer

C = ??oA/d = 3*8.854x10^-12*2?(10^-5*0.25)/10^-8 = 4.17x10^-8F = 41.7 nF

b) q = C*v = 4.17x10^-8F*79x10^-3V =3.30x10^-9C = 3.30nC

c) E = V/d = 79x10^-3/10^-8 = 7.9x10^6 V/m

(solve this question before hope this answer may help you)

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