FUNDAMENTALS OF PHYSICS (LLF)+WILEYPLUS
11th Edition
ISBN: 9781119459132
Author: Halliday
Publisher: WILEY
expand_more
expand_more
format_list_bulleted
Question
Chapter 26, Problem 32P
To determine
To find:
a) the magnitude of the current density.
b) the ion drift speed.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Earth’s lower atmosphere contains negative and positive ions that are produced by radioactive elements in the soil and cosmic rays from space. In a certain region, the atmospheric electric field strength is 120 V/m and the field is directed vertically down.This field causes singly charged positive ions, at a density of 620 cm3, to drift downward and singly charged negative ions, at a density of 550 cm3, to drift upward. The measured conductivity of the air in that region is 2.70 * 10-14 (ohmm)-1. Calculate (a) the magnitude of the current density and (b) the ion drift speed, assumed to be the same for positive and negative ions.
Earth's lower atmosphere contains negative and positive ions that are produced by radioactive elements in the soil and cosmic rays
from space. In a certain region, the atmospheric electric field strength is 174 V/m and the field is directed vertically down. This field
causes singly charged positive ions, at a density of 868 cm³, to drift downward and singly charged negative ions, at a density of 624
cm3, to drift upward (see the figure). The measured conductivity of the air in that region is 3.45 x 10-14 (0-m)-¹. Calculate (a) the
magnitude of the current density and (b) the ion drift speed, assumed to be the same for positive and negative ions.
(a) Number i
(b) Number
Units
Units
9 Figure 26-22 gives the drift speed Va
vaof conduction electrons in a copper
wire versus position x along the wire.
The wire consists of three sections
that differ in radius. Rank the three A
sections according to the following
в |с |
Figure 26-22 Question 9.
quantities, greatest first: (a) radius,
(b) number of conduction electrons per cubic meter, (c) magnitude
of electric field, (d) conductivity.
Chapter 26 Solutions
FUNDAMENTALS OF PHYSICS (LLF)+WILEYPLUS
Ch. 26 - Figure 26-15 shows cross sections through three...Ch. 26 - Figure 26-16 shows cross sections through three...Ch. 26 - Figure 26-17 shows a rectangular solid conductor...Ch. 26 - Figure 26-18 shows plots of the current i through...Ch. 26 - Figure 26-19 shows four situations in which...Ch. 26 - In Fig. 26-20, a wire that carries a current...Ch. 26 - Figure 26-21 gives the electric potential Vx...Ch. 26 - The following table give the lengths of three...Ch. 26 - Prob. 9QCh. 26 - Three wires, of the same diameter, are connected...
Ch. 26 - Figure 26-23 gives, for three wires of radius R,...Ch. 26 - During the 4.0 min a 5.0 A current is set up in a...Ch. 26 - An isolated conducting sphere has a 10 cm radius....Ch. 26 - A charged belt, 50 cm wide, travels at 30 m/s...Ch. 26 - The United States National Electric Code, which...Ch. 26 - SSM WWW A beam contains 2.0 108 doubly charged...Ch. 26 - A certain cylindrical wire carries current. We...Ch. 26 - A fuse in an electric circuit is a wire that is...Ch. 26 - Prob. 8PCh. 26 - The magnitude Jr of the current density in a...Ch. 26 - The magnitude J of the current density in a...Ch. 26 - What is the current in a wire of radius R = 3.40...Ch. 26 - Near Earth, the density of protons in the solar...Ch. 26 - Prob. 13PCh. 26 - A human being can be electrocuted if a current as...Ch. 26 - SSM A coil is formed by winding 250 turns of...Ch. 26 - Copper and aluminium are being considered for a...Ch. 26 - Prob. 17PCh. 26 - A wire 4.00 m long and 6.00 mm in diameter has a...Ch. 26 - SSM What is the resistivity of a wire of 1.0 mm...Ch. 26 - Prob. 20PCh. 26 - ILW A common flashlight bulb is rated at 0.30 A...Ch. 26 - Kiting during a storm. The legend that Benjamin...Ch. 26 - Prob. 23PCh. 26 - GO Figure 26-25a gives the magnitude Ex of the...Ch. 26 - SSM ILW A wire with a resistance of 6.0 is drawn...Ch. 26 - In Fig. 26-26a. a 9.00 V battery is connected to a...Ch. 26 - SSM WWW Two conductors are made of the same...Ch. 26 - GO Figure 26-27 gives the electric potential Vx...Ch. 26 - Prob. 29PCh. 26 - Prob. 30PCh. 26 - Prob. 31PCh. 26 - Prob. 32PCh. 26 - Prob. 33PCh. 26 - GO Figure 26-29 shows wire section 1 of diameter...Ch. 26 - GO In Fig. 26-30, current is set up through a...Ch. 26 - GO Swimming during a storm. Figure 26-31 shows a...Ch. 26 - Prob. 37PCh. 26 - In Fig. 26-32a, a 20 resistor is connected to a...Ch. 26 - A certain brand of hot-dog cooker works by...Ch. 26 - Thermal energy is produced in a resistor at a rate...Ch. 26 - SSM A 1220 V potential difference is applied to a...Ch. 26 - In Fig. 26-33, a battery of potential difference V...Ch. 26 - ILW An unknown resistor is connected between the...Ch. 26 - A student kept his 6.0 V, 7.0 W radio turned on at...Ch. 26 - SSM ILW A 1250 W radiant heater is constructed to...Ch. 26 - A copper wire of cross-sectional area 2.00 106 m2...Ch. 26 - A heating element is made by maintaining a...Ch. 26 - Exploding shoes. The rain-soaked shoes of a person...Ch. 26 - A 100 W lightbulb is plugged into a standard 120 V...Ch. 26 - GO The current through the battery and resistors 1...Ch. 26 - GO SSM WWW Wire C and wire D are made from...Ch. 26 - GO The current-density magnitude in a certain...Ch. 26 - A 120 V potential difference is applied to a space...Ch. 26 - Go Figure 26-36a shows a rod of resistive...Ch. 26 - SSM A Nichrome heater dissipates 500 W when the...Ch. 26 - Prob. 56PCh. 26 - An 18.0 W device has 9.00 V across it. How much...Ch. 26 - An aluminum rod with a square cross section is 1.3...Ch. 26 - A cylindrical metal rod is 1.60 m long and 5.50 mm...Ch. 26 - The chocolate crumb mystery. This story begins...Ch. 26 - SSM A steady beam of alpha particles q = 2e...Ch. 26 - A resistor with a potential difference of 200 V...Ch. 26 - A 2.0 kW heater element from a dryer has a length...Ch. 26 - cylindrical resistor of radius 5.0 mm and length...Ch. 26 - A potential difference V is applied to a wire of...Ch. 26 - The headlights of a moving car require about 10 A...Ch. 26 - A 500 W heating unit is designed to operate with...Ch. 26 - The copper windings of a motor have a resistance...Ch. 26 - How much electrical energy is transferred to...Ch. 26 - A caterpillar of length 4.0 cm crawls in the...Ch. 26 - Prob. 71PCh. 26 - A steel trolley-car rail has a cross-sectional...Ch. 26 - A coil of current-carrying Nichrome wire is...Ch. 26 - Prob. 74PCh. 26 - A certain x-ray tube operates at a current of 7.00...Ch. 26 - A current is established in a gas discharge tube...Ch. 26 - Prob. 77PCh. 26 - An insulating belt moves at speed 30 m/s and has a...Ch. 26 - In a hypothetical fusion research lab, high...Ch. 26 - When a metal rod is heated, not only its...Ch. 26 - A beam of 16 MeV deuterons from a cyclotron...Ch. 26 - A linear accelerator produces a pulsed beam of...Ch. 26 - An electric immersion heater normally takes 100...Ch. 26 - A 400 W immersion heater is placed in a pot...Ch. 26 - A 30 F capacitor is connected across a programmed...
Knowledge Booster
Similar questions
- A close analogy exists between the flow of energy by heat because of a temperature difference (see Section 19.6) and the flow of electric charge because of a potential difference. In a metal, energy dQ and electrical charge dq are both transported by free electrons. Consequently, a good electrical conductor is usually a good thermal conductor as well. Consider a thin conducting slab of thickness dx, area A, and electrical conductivity , with a potential difference dV between opposite faces. (a) Show that the current I = dq/dt is given by the equation on the left: ChargeconductionThermalconductiondqdt=A|dVdx|dQdt=kA|dTdx| In the analogous thermal conduction equation on the right (Eq. 19.17), the rate dQ/dt of energy flow by heat (in SI units of joules per second) is due to a temperature gradient dT/dx in a material of thermal conductivity k. (b) State analogous rules relating the direction of the electric current to the change in potential and relating the direction of energy flow to the change in temperature.arrow_forwardElectric field through a copper wire is found to be 0.18 V/m. If the copper wire has 8.46x10²8 electrons per m³ and a conductivity of 1.7×10 m, estimate the drift velocity of the electrons.arrow_forwardA close analogy exists between the flow of energy by heat because of a temperature difference (see Section 19.6) and the flow of electric charge because of a potential difference. In a metal, energy dQ and electrical charge dq are both transported by free electrons. Consequently, a good electri- cal conductor is usually a good thermal conductor as well. Consider a thin conducting slab of thickness dx, area A, and electrical conductivity ơ, with a potential difference dV between opposite faces. (a) Show that the current I = dq/dt is given by the equation on the left: Charge conduction Thermal conduction dq = oA dt dT kA dt dQ AP dx dx In the analogous thermal conduction equation on the right (Eq. 19.17), the rate dQ/dt of energy flow by heat (in SI units of joules per second) is due to a temperature gradient dT/dx in a material of thermal conductivity k. (b) State anal- ogous rules relating the direction of the electric current to the change in potential and relating the direction of…arrow_forward
- A coaxial resistor of a length L=22 cm-long consists of two concentric cylinders. The inner cylinder has radius a=1.8 cm and is made of air with conductivity o =0 S/m, and the outer cylinder extending between a=1.8 cm and b-64 cm is made of carbon with conductivity o2=3x10 S/m. If the two ends of the resistor are capped with ideal conducting plates (PEC), find the resistance of this hollow cylinder in ma between its two end. РЕС РЕС O2 O a. 0.619 O b.0.488 O. 1.031 O d. 1.160 o 0 00arrow_forwardIn the classic model for electrical conduction, electron mobility u in a metal wire is defined as where v, is the drift velocity of the electrons and E is the electric field in the metal. This parameter is a measure of how freely electrons can travel through a metal when an electric field is applied, such as when the ends of a metal wire are connected to a potential difference. (a) Show that where a is the conductivity of the metal, n is the number density of the charge carriers, and q is the charge on each carrier. (Submit a file with a maximum size of 1 MB.) Choose File no file selected This answer has not been graded yet. (b) B = AVH is often written as AVH - R IB where R, is the Hall coefficient of the metal. Show that the following is true. (Submit a file with a maximum size of 1 MB.) Hyo -n (Choose File no file selected This answer has not been graded yet (c) The table below shows some measured values of Hall coefficients for some elemental materials. What is an average number…arrow_forwardConduc-Thor-s. Thor has two square prism conductors that are made of the same ohmic material and with properties indicated below. Conductor Length | Cross-Section Side Length Alpha L Beta L/2 s/4 Suppose both conductors are subject to the same potential difference AV across their length while keeping their temperatures fixed. Which of the following is the correct relation between the electric currents, Ia and IB, through Alpha and Beta? O A. Ia = 8IB O B. 8Ia = Ig O. Ia = 4I8 O D. 4Ig = Ig Clear my choicearrow_forward
- Given the electric field through a write is 0.50 V/m. The material used to make the wire has 6.52×10²8 electrons per m³. If the material has a conductivity of 1.7×10 m, calculate the drift velocity of the electrons.arrow_forward按ESC | 即可退出全屏模式 Gas insulation is important for transmission lines, outdoor insulators and Gas-insulated- Substations (GIS). Understanding the breakdown mechanisms and behaviour of insulation materials is key to the optimum design of insulation systems. The speed distribution function of electrons in a gas containing electrons, ions and atoms is controlled by the electric field strength, E, and can be expressed as fo (E, v). It satisfies the relationship of (E, v) dv=1. i) ii) Convert the above electron speed distribution function into an electron energy distribution function that satisfies the relationship f(E, ɛ) dɛ =1 where & is the electron energy and ƒ(E, ɛ) the electron energy distribution function. The electron number density is ne and the atom number density is na in the gas. The ionisation cross section of the atoms by electron impact is a function of electron energy, ɛ, and can be written as σ¡ (ɛ). Similarly, the attachment collision cross section between an electron and an…arrow_forwardA typical flash bulb is rated at 310 mA and 2.90 V, the respective values of current and voltage under operational conditions. If the resistance of the filament when it is cold (To-20°C) is 1.12 , calculate its temperature when the lamp is on. The filament is made of tungsten with a coefficient of expansion is a = 4.5 x 10-3⁰C-1arrow_forward
- Cylindrical-conductors has inner and outer radii of 2 mm and 75 mm, respectively. If V(ρ = 2 mm) = 150 V and V(ρ = 75 mm) = 0 V, εr = 10, dielectric conductivity 5×10-4 s/m, the dielectric resistance equals to?arrow_forward6arrow_forwardProblem 5: Copper wire has a resistivity p = 1.7 x 10-8 2 m when at 20°C and it has a temperature coefficient a = 3.9 x 10-3 K-1. A solid cylinder of copper of length L = 75 cm and diameter D = 1.5 mm has one end held at T1 = 14°C and the other end is held at T2 = 240°C. The temperature increases linearly between the two ends of the cylinder. L T2 dx Part (a) Consider a thin slice of the copper cylinder of thickness dx that is located a distance x from the left end of the cylinder. Write an equation for the temperature of this slice in terms of the variables x, L, T1, and T2. Expression : T = Select from the variables below to write your expression. Note that all variables may not be required. a, B, 0, d, g, h, j, k, L, m, P, t, T1, T2, x Part (b) Determine the total resistance in milliohms. Numeric : A numeric value is expected and not an expression. R =arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Physics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Physics for Scientists and Engineers with Modern ...PhysicsISBN:9781337553292Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning
Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Physics for Scientists and Engineers
Physics
ISBN:9781337553278
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Physics for Scientists and Engineers with Modern ...
Physics
ISBN:9781337553292
Author:Raymond A. Serway, John W. Jewett
Publisher: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