University Physics with Modern Physics Plus Mastering Physics with eText -- Access Card Package (14th Edition)
14th Edition
ISBN: 9780321982582
Author: Hugh D. Young, Roger A. Freedman
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Textbook Question
Chapter 26, Problem 26.88PP
Cell membranes across a wide variety of organisms have a capacitance per unit area of 1 µF/cm2. For the electrical signal in a nerve to propagate down the axon, the charge on the membrane “capacitor” must change. What time constant is required when the ion channels are open? (a) 1 µs; (b) 10 µs; (c) 100 µs; (d) 1 ms.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
Every cell in the body has organelles called mitochondria that can generate a voltage difference between their interior and exterior.
If the capacitance of a mitochondrion is 4.0×10−11F and the potential difference between the interior and exterior is 0.18 V, how much electrical energy does it store?
If a mitochondrion were to use all of its stored electrical energy to produce ATP molecules, and each ATP molecule requires 9.5×10−20J, how many molecules could it produce? (In reality, ATP molecules are produced by the flow of protons caused by the proton motive force, and not by the direct conversion of electrical energy stored by the capacitance of mitochondria.)
The giant axon of a squid is 0.5 mm in diameter, 10 cm long, and not myelinated. Unmyelinated cell membranes behave as capacitors with 1 μF of capacitance per square centimeter of membrane area. When the axon is charged to the -70 mV resting potential, what is the energy stored in this capacitance?
The cell membranes of axons, which which are nerve cells in the human body, act as very small capacitors. A membrane is capable of storing 8.443e-9C of charge across a potential difference of 0.061V before discharging a nerve impulse. What is the capacitance of one of these axon membranes (in uF)?
Chapter 26 Solutions
University Physics with Modern Physics Plus Mastering Physics with eText -- Access Card Package (14th Edition)
Ch. 26.1 - Suppose all three of the resistors shown in Fig....Ch. 26.2 - Subtract Eq. (1) from Eq. (2) in Example 26.6. To...Ch. 26.3 - You want to measure the current through and the...Ch. 26.4 - The energy stored in a capacitor is equal to...Ch. 26.5 - To prevent the circuit breaker in Example 26.14...Ch. 26 - In which 120-V light bulb does the filament have...Ch. 26 - Two 120-V light bulbs, one 25-W and one 200-W,...Ch. 26 - You connect a number of identical light bulbs to a...Ch. 26 - In the circuit shown in Fig. Q26.4, three...Ch. 26 - If two resistors R1 and R2 (R2 R1) are connected...
Ch. 26 - If two resistors R1 and R2 (R2 R1) are connected...Ch. 26 - A battery with no internal resistance is connected...Ch. 26 - A resistor consists of three identical metal...Ch. 26 - A light bulb is connected in the circuit shown in...Ch. 26 - A real battery, having nonnegligible internal...Ch. 26 - If the battery in Discussion Question Q26.10 is...Ch. 26 - Consider the circuit shown in Fig. Q26.12. What...Ch. 26 - Is it possible to connect resistors together in a...Ch. 26 - The battery in the circuit shown in Fig. Q26.14...Ch. 26 - In a two-cell flashlight, the batteries are...Ch. 26 - Identical light bulbs A, B, and C are connected as...Ch. 26 - The emf of a flashlight battery is roughly...Ch. 26 - Will the capacitors in the circuits shown in Fig....Ch. 26 - Verify that the time constant RC has units of...Ch. 26 - For very large resistances it is easy to construct...Ch. 26 - When a capacitor, battery, and resistor are...Ch. 26 - A uniform wire of resistance R is cut into three...Ch. 26 - A machine part has a resistor X protruding from an...Ch. 26 - A resistor with R1 = 25.0 is connected to a...Ch. 26 - A 42- resistor and a 20- resistor are connected in...Ch. 26 - A triangular array of resistors is shown in Fig....Ch. 26 - For the circuit shown in Fig. E26.6 both meters...Ch. 26 - For the circuit shown in Fig. E26.7 find the...Ch. 26 - Three resistors having resistances of 1.60 , 2.40...Ch. 26 - Now the three resistors of Exercise 26.8 are...Ch. 26 - Power Rating of a Resistor. The power rating of a...Ch. 26 - In Fig. E26.11, R1, = 3.00 , R2 = 6.00 , and R3=...Ch. 26 - In Fig. E26.11 the battery has emf 35.0 V and...Ch. 26 - Compute the equivalent resistance of the network...Ch. 26 - Compute the equivalent resistance of the network...Ch. 26 - In the circuit of Fig. E26.15, each resistor...Ch. 26 - Consider the circuit shown in Fig. E26.16. The...Ch. 26 - In the circuit shown in Fig. E26.17, the voltage...Ch. 26 - In the circuit shown in Fig. E26.18, = 36.0 V,...Ch. 26 - CP In the circuit in Fig. E26.19, a 20.0- resistor...Ch. 26 - In the circuit shown in Fig. E26.20, the rate at...Ch. 26 - Light Bulbs in Series and in Parallel. Two light...Ch. 26 - Light Bulbs in Series. A 60-W, 120-V light bulb...Ch. 26 - In the circuit shown in Fig. E26.23, ammeter A1...Ch. 26 - The batteries shown in the circuit in Fig. E26.24...Ch. 26 - In the circuit shown in Fig. E26.25 find (a) the...Ch. 26 - Find the emfs 1 and 2 in the circuit of Fig....Ch. 26 - In the circuit shown in Fig. E26.27, find (a) the...Ch. 26 - In the circuit shown in Fig. E26.28, find (a) the...Ch. 26 - The 10.00-V battery in Fig. E26.28 is removed from...Ch. 26 - The 5.00-V battery in Fig. E26.28 is removed from...Ch. 26 - In the circuit shown in Fig. E26.31 the batteries...Ch. 26 - In the circuit shown in Fig. E26.32 both batteries...Ch. 26 - In the circuit shown in Fig. E26.33 all meters are...Ch. 26 - In the circuit shown in Fig. E26.34, the 6.0-...Ch. 26 - The resistance of a galvanometer coil is 25.0 ,...Ch. 26 - The resistance of the coil of a pivoted coil...Ch. 26 - A circuit consists of a series combination of...Ch. 26 - A galvanometer having a resistance of 25.0 has a...Ch. 26 - A capacitor is charged to a potential of 12.0 V...Ch. 26 - You connect a battery, resistor, and capacitor as...Ch. 26 - A 4.60-F capacitor that is initially uncharged is...Ch. 26 - You connect a battery, resistor, and capacitor as...Ch. 26 - CP In the circuit shown in Fig. E26.43 both...Ch. 26 - A 12.4-F capacitor is connected through a 0.895-M...Ch. 26 - An emf source with = 120 V, a resistor with R =...Ch. 26 - A resistor and a capacitor are connected in series...Ch. 26 - CP In the circuit shown in Fig. E26.47 each...Ch. 26 - A 1.50-F capacitor is charging through a 12.0-...Ch. 26 - In the circuit in Fig. E26.49 the capacitors are...Ch. 26 - A 12.0-F capacitor is charged to a potential of...Ch. 26 - In the circuit shown in Fig. E26.51, C = 5.90 F, ...Ch. 26 - Prob. 26.52ECh. 26 - A 1500-W electric beater is plugged into the...Ch. 26 - In Fig. P26.54, the battery has negligible...Ch. 26 - The two identical light bulbs in Example 26.2...Ch. 26 - Each of the three resistors in Fig. P26.56 has a...Ch. 26 - (a) Find the potential of point a with respect to...Ch. 26 - CP For the circuit shown in Fig. P26.58 a 20.0-...Ch. 26 - Calculate the three currents I1, I2, and I3...Ch. 26 - What must the emf in Fig. P26.60 be in order for...Ch. 26 - Find the current through each of the three...Ch. 26 - (a) Find the current through the battery and each...Ch. 26 - Consider the circuit shown in Fig. P26.63. (a)...Ch. 26 - In the circuit shown in Fig. P26.64, = 24.0 V,...Ch. 26 - In the circuit shown in Fig. P26.65, the current...Ch. 26 - In the circuit shown in Fig. P26.66 all the...Ch. 26 - Figure P26.67 employs a convention often used in...Ch. 26 - Three identical resistors are connected in series....Ch. 26 - A resistor R1 consumes electrical power P1 when...Ch. 26 - The capacitor in Fig. F26.70 is initially...Ch. 26 - A 2.00-F capacitor that is initially uncharged is...Ch. 26 - A 6.00-F capacitor that is initially uncharged is...Ch. 26 - Point a in Fig. P26.73 is maintained at a constant...Ch. 26 - The Wheatstone Bridge. The circuit shown in Fig....Ch. 26 - (See Problem 26.67.) (a) What is the potential of...Ch. 26 - A 2.36-F capacitor that is initially uncharged is...Ch. 26 - A 224- resistor and a 589- resistor are connected...Ch. 26 - A resistor with R = 850 is connected to the...Ch. 26 - A capacitor that is initially uncharged is...Ch. 26 - DATA You set up the circuit shown in Fig. 26.22a,...Ch. 26 - DATA You set up the circuit shown in Fig. 26.20....Ch. 26 - DATA The electronics supply company where you work...Ch. 26 - An Infinite Network. As shown in Fig. P26.83, a...Ch. 26 - Suppose a resistor R lies along each edge of a...Ch. 26 - BIO Attenuator Chains and Axons. The infinite...Ch. 26 - Assume that a typical open ion channel spanning an...Ch. 26 - In a simple model of an axon conducting a nerve...Ch. 26 - Cell membranes across a wide variety of organisms...
Additional Science Textbook Solutions
Find more solutions based on key concepts
Use the definition of acceleration to draw a vector in the space at right that represents the acceleration of t...
Tutorials in Introductory Physics
The distance of lightning.
Glencoe Physical Science 2012 Student Edition (Glencoe Science) (McGraw-Hill Education)
35.18 Coherent sources A and B emit electromagnetic waves with wavelength 2.00 cm. Point P is 4.86 m from A and...
University Physics (14th Edition)
Show that, for a given initial speed, the horizontal range of a projectile is the same for launch angles 45 + ...
Essential University Physics (3rd Edition)
7. An investigator places a sample 1.0 cm from a wire carrying a large current; the strength of the magnetic fi...
College Physics: A Strategic Approach (4th Edition)
We just described three trips from Houston to Des Moines: (a) direct; (b) with a stop in Kansas City; and (c) v...
Essential University Physics: Volume 1 (3rd Edition)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Similar questions
- Consider the circuit shown in Figure P20.52, where C1 = 6.00 F, C2 = 3.00 F, and V = 20.0 V. Capacitor C1 is first charged by closing switch S1. Switch S1 is then opened, and the charged capacitor is connected to the uncharged capacitor by closing S2. Calculate (a) the initial charge acquired by C1 and (b) the final charge on each capacitor. Figure P20.52arrow_forwardA pair of capacitors with capacitances CA = 3.70 F and CB = 6.40 F are connected in a network. What is the equivalent capacitance of the pair of capacitors if they are connected a. in parallel and b. in series?arrow_forwardA Pairs of parallel wires or coaxial cables are two conductors separated by an insulator, so they have a capacitance. For a given cable, the capacitance is independent of the length if the cable is very long. A typical circuit model of a cable is shown in Figure P27.87. It is called a lumped-parameter model and represents how a unit length of the cable behaves. Find the equivalent capacitance of a. one unit length (Fig. P27.87A), b. two unit lengths (Fig. P27.87B), and c. an infinite number of unit lengths (Fig. P27.87C). Hint: For the infinite number of units, adding one more unit at the beginning does not change the equivalent capacitance.arrow_forward
- Consider the circuit shown in Figure P26.24, where C1, = 6.00 F, C2 = 3.00 F. and V = 20.0 V. Capacitor C1 is first charged by closing switch S1. Switch S1 is then opened, and the charged capacitor is connected to the uncharged capacitor by closing Calculate (a) the initial charge acquired by C, and (b) the final charge on each capacitor.arrow_forwardGiven the arrangement of capacitors in Figure P27.23, find an expression for the equivalent capacitance between points a and b. Figure P27.23 Problems 23 and 24.arrow_forwardIn the figure ε = 14.2 V, R1 = 1290 Ω, R2 = 3490 Ω, and R3 = 3650 Ω. What are the potential differences (in V) (a) VA - VB, (b) VB - VC, (c) VC - VD, and (d) VA - VC?arrow_forward
- A capacitor with capacitance C = 5 µF is charged to a voltage V = 10V. It is then discharged through a resistor R=2 MQ. At what time after the start of the discharge process has the voltage across the capacitor fallen to 1V?arrow_forwardA proton in a particle accelerator has a velocity of 4 x 10^7 m/s when observed at point A and a velocity of 3 x 10^7 m/s when observed at point B. If the voltage at point A is 800 V, what is the voltage at point B?arrow_forwardTwo circular metal plates with 15 cm radius are connected to either side of a 75 V battery. The plates are separated by 5 mm. The battery is then disconnected and replaced with a wire that has a resistance 500 kiloohms. (a) Calculate the charge that the battery sends to each plate.(b) Calculate how long it will take the capacitor to discharge to 2 nC.arrow_forward
- In a typical mammalian cell, the net transport by the sodiumpotassium exchange pump that maintains the 70 mV membrane potential is 500 singly charged ions per second. How much work does the pump do each second?arrow_forwardSuppose you have a 9.30 V battery, a 2.35 µF capacitor, and a 7.10 µF capacitor. (a) Find the charge (in C) and energy (in J) stored if the capacitors are connected to the battery in series. charge х с energy (b) Do the same for a parallel connection. charge х с energyarrow_forwardA large laser used to ignite a fusion reaction requires short pulses of energy. The energy is supplied by capacitors stored in large rooms. The total capacitance is 6.2 x 10-2 F when a voltage of 10 kV is applied across all the capacitors. These capacitors produce 5.0 ns pulses of energy and are charged with a 2 kW generator. (a) What energy is stored in the capacitors? (b) What power is produced when the capacitors discharge? (c) How long does it take to charge these capacitors?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage LearningPrinciples of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and Engineers, Technology ...PhysicsISBN:9781305116399Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
- College PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage LearningCollege PhysicsPhysicsISBN:9781285737027Author:Raymond A. Serway, Chris VuillePublisher:Cengage Learning
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Physics for Scientists and Engineers, Technology ...
Physics
ISBN:9781305116399
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
College Physics
Physics
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Cengage Learning
College Physics
Physics
ISBN:9781285737027
Author:Raymond A. Serway, Chris Vuille
Publisher:Cengage Learning
DC Series circuits explained - The basics working principle; Author: The Engineering Mindset;https://www.youtube.com/watch?v=VV6tZ3Aqfuc;License: Standard YouTube License, CC-BY