Consider a portion of a cell membrane that has a thickness of 7.50 nm and 1.4 µm × 1.4 µm in area. A measurement of the potential difference across the inner and outer surfaces of the membrane gives a reading of 83.3 mV. The resistivity of the membrane material is 1.30 x 107 Ω · m. (a) Determine the amount of current that flows through this portion of the membrane.  (Answer in A) (b) By what factor does the current change if the side dimensions of the membrane portion is doubled? The other values do not change. a) decrease by a factor of 4 b) increase by a factor of 2     c) decrease by a factor of 2 d) increase by a factor of 8 e) increase by a factor of 4

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter21: Current And Direct Current Circuits
Section: Chapter Questions
Problem 63P
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Consider a portion of a cell membrane that has a thickness of 7.50 nm and 1.4 µm × 1.4 µm in area. A measurement of the potential difference across the inner and outer surfaces of the membrane gives a reading of 83.3 mV. The resistivity of the membrane material is 1.30 x 107 Ω · m.

(a) Determine the amount of current that flows through this portion of the membrane. 
(Answer in A)

(b) By what factor does the current change if the side dimensions of the membrane portion is doubled? The other values do not change.
a) decrease by a factor of 4
b) increase by a factor of 2    
c) decrease by a factor of 2
d) increase by a factor of 8
e) increase by a factor of 4
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