Problem 15.51 Part A The long thin cylindrical axon of a nerve carries nerve imp
ID: 1776428 • Letter: P
Question
Problem 15.51 Part A The long thin cylindrical axon of a nerve carries nerve impulses. The axon can be as long as 1 m Estimate the capacitance of a 1.0 m long axon of radius 3.9 x 10-6 m with a membrane thickness of 7.6 × 10-9 m. The dielectric constant of the membrane material is about 6.0 thickness of 7.6 x10-9 Im Express your answer to two significant figures and include the appropriate units. C- 1.58 106F Submit My Answers Give Up Incorrect; Try Again; 2 attempts remaining Part B Determine the magnitude of the charge on the inside (negative) and outside (positive) of the membrane wall if there is a 0.080-V potential difference across the wall. Express your answer to two significant figures and include the appropriate units. q= 1 Value Units Submit My Answers Give UpExplanation / Answer
a) R1 = (3.9 * 10-6) - (7.6 * 10-9) = 3.89 * 10-6 m
C = 2 pi e0 er L / ln (R2 / R1)
= 2 pi * 8.85 * 10-12 * 6 * 1 / ln (3.9 / 3.89)
= 1.71 * 10-7 F
b) Q = C V = 0.080 * 1.71 * 10-7
= 1.36 * 10-8 C
c) U = 1/2 C V2 = 1/2 * 0.0802 * 1.71 * 10-7
= 5.47 * 10-10 J