University Physics (14th Edition)
14th Edition
ISBN: 9780133969290
Author: Hugh D. Young, Roger A. Freedman
Publisher: PEARSON
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Textbook Question
Chapter 24, Problem 24.75PP
Suppose that the change in Vm was caused by the entry of Ca2+ instead of Na+. How many Ca2+ ions would have to enter the cell per unit membrane to produce the change? (a) Half as many as for Na+; (b) the same as for Na+; (c) twice as many as for Na+; (d) cannot say without knowing the inside and outside concentrations of Ca2+.
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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
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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%.…
Assume the length of an axon membrane of about 0.10 cm is excited by an action potential (length excited = nerve speed ✕ pulse duration = 50 m/s ✕ 2.0 ms = 10 cm). In the resting state, the outer surface of the axon wall is charged positively with K+ 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 = ??oA/d and Q = CΔV to investigate the charge as follows. Use typical values for a cylindrical axon of cell thickness d = 1.6 ✕ 10−8 m, axon radius r = 1.2 ✕ 101 ?m, and cell-wall dielectric constant ? = 2.3.
A diagram shows a collection of positive and negative charges in and around an axon. The diagram is divided into three sections, one on top of the other.
The top section is labeled "External fluid". A row of positive charges labeled "Positive charge layer" lies along the bottom side of this section. Above the row of positive charges, there is an even mixture of…
Chapter 24 Solutions
University Physics (14th Edition)
Ch. 24 - Equation (24.2) shows that the capacitance of a...Ch. 24 - Suppose several different parallel-plate...Ch. 24 - Suppose the two plates of a capacitor have...Ch. 24 - To store the maximum amount of energy in a...Ch. 24 - In the parallel-plate capacitor of Fig. 24.2,...Ch. 24 - A parallel-plate capacitor is charged by being...Ch. 24 - A parallel-plate capacitor is charged by being...Ch. 24 - Two parallel-plate capacitors, identical except...Ch. 24 - The charged plates of a capacitor attract each...Ch. 24 - You have two capacitors and want to connect them...
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The charge center...Ch. 24 - In Fig. P24.59, each capacitance C1 is 6.9 F, and...Ch. 24 - Each combination of capacitors between points a...Ch. 24 - A parallel-plate capacitor with only air between...Ch. 24 - An air capacitor is made by using two flat plates,...Ch. 24 - A potential difference Vab = 48.0 V is applied...Ch. 24 - CALC The inner cylinder of a long, cylindrical...Ch. 24 - A parallel-plate capacitor has square plates that...Ch. 24 - A parallel-plate capacitor is made from two plates...Ch. 24 - Three square metal plates A, B, and C, each 12.0...Ch. 24 - A fuel gauge uses a capacitor to determine the...Ch. 24 - DATA Your electronics company has several...Ch. 24 - DATA You are designing capacitors for various...Ch. 24 - DATA You are conducting experiments with an...Ch. 24 - Two square conducting plates with sides of length...Ch. 24 - BIO THE ELECTRIC EGG. Upon fertilization, the eggs...Ch. 24 - Suppose that the egg has a diameter of 200 m. 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