General Physics, 2nd Edition
2nd Edition
ISBN: 9780471522782
Author: Morton M. Sternheim
Publisher: WILEY
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Chapter 18, Problem 18E
To determine
The concentration of the chlorine ions inside axon.
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What is the magnitude of the electric field across an axon membrane 1.2×10−8 m thick if the resting potential is -70 mV ?
12. (a) Using Eq. AQ=CAV and the data in the Table, calculate the number of ions entering the axon during
the action potential, per meter of nonmyelinated axon length. (The charge on the ion is 1.6 x 10-19 coulomb.)
(b) During the resting state of the axon, typical concentrations of sodium and potassium ions inside the axon
are 15 and 150 millimole/liter, respectively. From the data in the Table, calculate the number of ions per
meter length of the axon.
Table 13.1 Properties of Sample Axons
Hint:
1 F (farad) = 1coulomb/1 volt
Property
Nonmyelinated axon
Myelinated axon
Axon radius
5 x 10-m
5 x 10-6 m
1 mole /liter = 6.02 x 1020 particles (ions, atoms, etc. ) Resistance per unit length of fluid
cm
6.37 x 10°2/m
6.37 x 10°2/m
both inside and outside axon (r)
Conductivity per unit length of
axon membrane (gm)
1.25 x 10-4 mho/m
In the resting state, the axon voltage is -70mV.
During the pulse, the voltage changes to about
+30mV, resulting in a net voltage change across
the membrane of 100…
a) What was the smallest voltage required to produce a contraction (the threshold voltage)? What proportion of the fibers in the muscle do you think were contracting to produce this small response?
b) What was the smallest voltage required to produce the maximum (largest) contraction? What proportion of the fibers in the muscle do you think were contracting to produce this maximal response?
Chapter 18 Solutions
General Physics, 2nd Edition
Ch. 18 - Prob. 1RQCh. 18 - Prob. 2RQCh. 18 - Prob. 3RQCh. 18 - Prob. 4RQCh. 18 - Prob. 5RQCh. 18 - Prob. 6RQCh. 18 - Prob. 7RQCh. 18 - Prob. 8RQCh. 18 - Prob. 9RQCh. 18 - Prob. 10RQ
Ch. 18 - Prob. 1ECh. 18 - Prob. 2ECh. 18 - Prob. 3ECh. 18 - Prob. 4ECh. 18 - Prob. 5ECh. 18 - Prob. 6ECh. 18 - Prob. 7ECh. 18 - Prob. 8ECh. 18 - Prob. 9ECh. 18 - Prob. 10ECh. 18 - Prob. 11ECh. 18 - Prob. 12ECh. 18 - Prob. 13ECh. 18 - Prob. 14ECh. 18 - Prob. 15ECh. 18 - Prob. 16ECh. 18 - Prob. 17ECh. 18 - Prob. 18ECh. 18 - Prob. 20ECh. 18 - Prob. 21ECh. 18 - Prob. 24ECh. 18 - Prob. 25ECh. 18 - Prob. 26E
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