capacitor and take C = xe A/d and Q = CAV to investigate the charge as follows. Use typical values for a cylindrical axon of cell wall thickness d = 1.6 x 10-8 m, axon radius r = 2.0 x 10 μm, and cell-wall dielectric constant x = 2.2. Positive charge layer Negative { charge layer External fluid Axon wall membrane O 0 0 Internal fluid Axon radius = r A C + d ( (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.) с How many K+ ions are on the outside of the axon assuming an initial potential difference of 7.0 x 10-2 V? K+ ions Is this a large charge per unit area? Hint: Calculate the charge per unit area in terms of electronic charge e per angstrom squared (A2). An atom has a cross section of about 1 A² (1 A = 10-10 m). (Compare to normal atomic spacing of one atom every few A.) Yes No

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capacitor and take C = xe A/d and Q = CAV to investigate the charge as follows. Use typical values for a cylindrical axon of cell wall thickness d = 1.6 x 10-8 m, axon radius r = 2.0 x 10¹ μm, and
cell-wall dielectric constant x = 2.2.
Positive
charge
layer
Negative {
charge
layer
External fluid
Axon wall membrane
1
O No
O
Internal fluid
Axon radius = r
+
d
Q
(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.)
C
How many K+ ions are on the outside of the axon assuming an initial potential difference of 7.0 x 10-2 V?
K+ ions
Is this a large charge per unit area? Hint: Calculate the charge per unit area in terms of electronic charge e per angstrom squared (A2). An atom has a cross section of about 1 A²
(1 A = 10-10 m). (Compare to normal atomic spacing of one atom every few A.)
Yes
Transcribed Image Text:capacitor and take C = xe A/d and Q = CAV to investigate the charge as follows. Use typical values for a cylindrical axon of cell wall thickness d = 1.6 x 10-8 m, axon radius r = 2.0 x 10¹ μm, and cell-wall dielectric constant x = 2.2. Positive charge layer Negative { charge layer External fluid Axon wall membrane 1 O No O Internal fluid Axon radius = r + d Q (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.) C How many K+ ions are on the outside of the axon assuming an initial potential difference of 7.0 x 10-2 V? K+ ions Is this a large charge per unit area? Hint: Calculate the charge per unit area in terms of electronic charge e per angstrom squared (A2). An atom has a cross section of about 1 A² (1 A = 10-10 m). (Compare to normal atomic spacing of one atom every few A.) Yes
(b) How much positive charge must flow through cell membrane to reach the excited state of +3.0 x 10-2 V from the resting state of -7.0 x 10-² v?
с
How many sodium ions (Na+) is this?
Na+ ions
(c) If it takes 2.0 ms for the Nations to enter the axon, what
μA
(d) How much energy does it take to raise the potential of the inner axon wall to +3.0 x 10-2 V, starting from the resting potential of -7.0 x 10-2 V? (Assume that no energy is required to
first raise the potential to 0 V from the resting potential of -7.0 x 10-2 V.)
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the average current in the axon wall this process?
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Transcribed Image Text:(b) How much positive charge must flow through cell membrane to reach the excited state of +3.0 x 10-2 V from the resting state of -7.0 x 10-² v? с How many sodium ions (Na+) is this? Na+ ions (c) If it takes 2.0 ms for the Nations to enter the axon, what μA (d) How much energy does it take to raise the potential of the inner axon wall to +3.0 x 10-2 V, starting from the resting potential of -7.0 x 10-2 V? (Assume that no energy is required to first raise the potential to 0 V from the resting potential of -7.0 x 10-2 V.) Need Help? the average current in the axon wall this process? Read It
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