Chapter 18, Problem 36 GO The membrane surrounding a living cell consists of an

Question

Chapter 18, Problem 36 GO The membrane surrounding a living cell consists of an inner and an outer wal that are separated by a small space. Assume that the membrane parallel piate capacitor in which the effective charge density on the inner and outer wals has . magnitude of 7.0 × 10 CJm2.(a) what it-magnitude of the ectric feld within the col memtrana (b) Find the magntude of the elsctric force that would be sxerted on s potassium ian (K: charge - "e) placed inside (a) Number Units Click if you would like to Show Work for this question: Open Shom Work

Explanation / Answer

Given,

sigma = 7 x 10^-6 C/m^2 ;

a)We know that the electric field between the plates will be given by

E = Q/e0 A = sigma/e0

E = 7 x 10^-6/8.85 x 10^-12 = 7.91 x 10^5 N/C

Hence, E = 7.91 x 10^5 N/C

b)The electric force on an ion will be:

F = q E

F = 1.6 x 10^-19 x 7.91 x 10^6 = 1.27 x 10^-13 N

Hence, F = 1.27 x 10^-13 N

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