General Physics, 2nd Edition
2nd Edition
ISBN: 9780471522782
Author: Morton M. Sternheim
Publisher: WILEY
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Question
Chapter 18, Problem 5E
(a)
To determine
The membrane capacitance of unmyelinated segment of axon.
(b)
To determine
The membrane leakage resistance of unmyelinated segment of axon.
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Assume an axon has the same characteristics as the class example
except the radius of the axon is 0.005 mm and the membrane
thickness is 20.0 nm. The percentage fractional change in the
concentration of Na+ ions in the axon during one action potential is
%? Record the answer to the nearest one
thousandth.
Assume a length of axon membrane of about 0.10 m is excited by an action potential (length excited = nerve speed x pulse duration
50.0 m/s x 0.0020 s =
0.10 m). In the
%D
resting state, the outer surface of the axon wall is charged positively with Kt ions and the inner wall has an equal and opposite charge of negative organic ions, as shown in the
figure below. Model the axon as a parallel-plate capacitor and take C = KƐ A/d and Q = CAV to investigate the charge as follows. Use typical values for a cylindrical axon of cell
-8
wall thickness d = 1.5 x 10 m, axon radius r =
2.0 x 10- um, and cell-wall dielectric constant K =
2.9.
External fluid
+
Positive
charge
layer
Axon wall membrane
d
Negative
charge
layer
Internal fluid
Axon radius = r
(a) Calculate the positive charge on the outside of a 0.10-m piece of axon when it is not conducting an electric pulse. (Assume an initial potential difference of
7.0 x 10-2 v.)
1.035E-9
Your response differs from the correct answer by more than 10%.…
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 ?
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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