General Physics, 2nd Edition
2nd Edition
ISBN: 9780471522782
Author: Morton M. Sternheim
Publisher: WILEY
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Chapter 20, Problem 13RQ
To determine
The change in the stored energy, if the current in an inductor is doubled.
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Calculate the axoplasm resistance for a neuron of length 0.06 m and a radius of 5 um. The axoplasm resistivity is 2.0 Ohm.m. Give your answer in MOhms
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.
Constants
How much power must be produced by the "active Na pumping" system to produce this flow
against a +30-mV potential difference? Assume that the axon is 80 cm long and 30 um in
diameter.
During an action potential, Na ions move into the
cell at a rate of about 3 x 10 mol/m s.
Express your answer using two significant figures.
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Chapter 20 Solutions
General Physics, 2nd Edition
Ch. 20 - Prob. 1RQCh. 20 - Prob. 2RQCh. 20 - Prob. 3RQCh. 20 - Prob. 4RQCh. 20 - Prob. 5RQCh. 20 - Prob. 6RQCh. 20 - Prob. 7RQCh. 20 - Prob. 8RQCh. 20 - Prob. 9RQCh. 20 - Prob. 10RQ
Ch. 20 - Prob. 11RQCh. 20 - Prob. 12RQCh. 20 - Prob. 13RQCh. 20 - Prob. 1ECh. 20 - Prob. 2ECh. 20 - Prob. 3ECh. 20 - Prob. 4ECh. 20 - Prob. 5ECh. 20 - Prob. 6ECh. 20 - Prob. 7ECh. 20 - Prob. 8ECh. 20 - Prob. 9ECh. 20 - Prob. 10ECh. 20 - Prob. 11ECh. 20 - Prob. 12ECh. 20 - Prob. 13ECh. 20 - Prob. 14ECh. 20 - Prob. 15ECh. 20 - Prob. 16ECh. 20 - Prob. 17ECh. 20 - Prob. 18ECh. 20 - Prob. 19ECh. 20 - Prob. 20ECh. 20 - Prob. 21ECh. 20 - Prob. 22ECh. 20 - Prob. 23ECh. 20 - Prob. 24ECh. 20 - Prob. 25ECh. 20 - Prob. 26ECh. 20 - Prob. 27ECh. 20 - Prob. 28ECh. 20 - Prob. 29ECh. 20 - Prob. 30ECh. 20 - Prob. 31ECh. 20 - Prob. 32ECh. 20 - Prob. 33ECh. 20 - Prob. 34ECh. 20 - Prob. 35ECh. 20 - Prob. 36ECh. 20 - Prob. 37ECh. 20 - Prob. 38ECh. 20 - Prob. 39ECh. 20 - Prob. 40ECh. 20 - Prob. 41ECh. 20 - Prob. 42ECh. 20 - Prob. 43ECh. 20 - Prob. 44ECh. 20 - Prob. 45ECh. 20 - Prob. 46ECh. 20 - Prob. 47ECh. 20 - Prob. 48ECh. 20 - Prob. 49ECh. 20 - Prob. 50ECh. 20 - Prob. 51ECh. 20 - Prob. 52ECh. 20 - Prob. 53ECh. 20 - Prob. 54ECh. 20 - Prob. 55ECh. 20 - Prob. 56ECh. 20 - Prob. 57ECh. 20 - Prob. 58ECh. 20 - Prob. 59ECh. 20 - Prob. 60ECh. 20 - Prob. 61ECh. 20 - Prob. 62ECh. 20 - Prob. 63ECh. 20 - Prob. 64ECh. 20 - Prob. 65ECh. 20 - Prob. 66ECh. 20 - Prob. 67ECh. 20 - Prob. 68ECh. 20 - Prob. 69ECh. 20 - Prob. 70ECh. 20 - Prob. 71ECh. 20 - Prob. 72ECh. 20 - Prob. 73ECh. 20 - Prob. 74ECh. 20 - Prob. 75ECh. 20 - Prob. 76ECh. 20 - Prob. 77ECh. 20 - Prob. 78ECh. 20 - Prob. 79ECh. 20 - Prob. 80ECh. 20 - Prob. 81ECh. 20 - Prob. 82ECh. 20 - Prob. 83ECh. 20 - Prob. 84ECh. 20 - Prob. 85ECh. 20 - Prob. 86ECh. 20 - Prob. 87ECh. 20 - Prob. 88ECh. 20 - Prob. 89ECh. 20 - Prob. 90ECh. 20 - Prob. 91ECh. 20 - Prob. 92ECh. 20 - Prob. 93ECh. 20 - Prob. 94ECh. 20 - Prob. 95E
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- 7arrow_forwardConsider the model of the axon as a capacitor from Figure P18.43. (a) How much energy doesit take to restore the inner wall of the axon to -7.0 x 10-2 V,starting from +3.0 x 10-2 V? (b) Find the average current inthe axon wall during this process.arrow_forwardWhat is the resistance of the of an axon’s axoplasm segment with a length of 1 mm (enter your answer in units of M Ω)?arrow_forward
- An unmyelinated segment of the axon has a radius of r=2 pm and a length of L=7 cm. what is its membrane capacitance (Farad) ?. (The %3D capacitance per unit area, Cm = 0.01 F/m2). %3D A. 0.000000008792 B. None, C. 0.00000002638 D. 0.00000003517 E. 0.00000001758arrow_forwardAssume the axon had a diameter of 30 um and was 5 cm long. The capacitance of this axon would bearrow_forwardA battery having a voltage of 3.00 V is connected through a rheostat to a uniform wire 100 cm long. The wire has a resistance of the rheostat be in order that the voltage per millimeter of the wire shall be exactly 1 mV?arrow_forward
- A myelinated axon conducts nerve impulses at a speed of 40 m/s. What is the signal speed if the thickness of the myelin sheath is halved but no other changes are made to the axon?arrow_forwardWhat explains the difference in energy delivery when the rate of discharge changes in a battery? For example, a lithium coin battery has a rated capacity of 240 mAh and a voltage cutoff of 1.6V. If we compare two rate of dischange, 3 mA vs. 0.5 mA, the difference in energy delivery is 0.1Wh.arrow_forwardExplain why the resistance of the current path through the extracellular fluid is much smaller than the resistance of the current path through the axoplasm.arrow_forward
- TRANSCRIBE THE FOLLOWING TEXT IN DIGITAL FORMATarrow_forwardThe portion of a nerve cell thatconducts signals is called an axon. Many of the electrical properties ofaxons are governed by ion channels, which are protein molecules thatspan the axon’s cell membrane. When open, each ion channel has apore that is filled with fluid of low resistivity and connects the interiorof the cell electrically to the medium outside the cell. In contrast, thelipid-rich cell membrane in which ion channels reside has very highresistivity. In a simple model of an axon conducting a nerve signal, ionsmove across the cell membrane through open ion channels, which actas purely resistive elements. If a typical current density (current perunit cross-sectional area) in the cell membrane is 5 mA/cm2 when thevoltage across the membrane (the action potential) is 50 mV, what isthe number density of open ion channels in the membrane? (a) 1/cm2;(b) 10/cm2; (c) 10/mm2; (d) 100/mm2.arrow_forwardThe portion of a nerve cell thatconducts signals is called an axon. Many of the electrical properties ofaxons are governed by ion channels, which are protein molecules thatspan the axon’s cell membrane. When open, each ion channel has apore that is filled with fluid of low resistivity and connects the interiorof the cell electrically to the medium outside the cell. In contrast, thelipid-rich cell membrane in which ion channels reside has very highresistivity. Assume that a typical open ion channel spanning an axon’s membrane has a resistance of 1 * 10^11 Ω. We can model this ion channel, with its pore, as a 12-nm-long cylinder of radius 0.3 nm. What is the resistivity of the fluid in the pore? (a) 10 Ω . m; (b) 6 Ω . m; (c) 2 Ω . m; (d) 1 Ω . m.arrow_forward
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