Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (4th Edition)
4th Edition
ISBN: 9780133942651
Author: Randall D. Knight (Professor Emeritus)
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 27, Problem 56EAP
I A hollow metal cylinder has inner radius a. outer radius b. length L. and
a. Find an expression for the electric field strength inside the metal as a function of the radius r from the cylinders axis.
b. Evaluate the electric field strength at the inner and outer surfaces of an iron cylinder if
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
p versus T. The figure shows the behavior of the resistivity p of a
material Z as a function of temperature T. If a constant electric field
is maintained inside it, which of the following statements is/are TRUE P.
about the metal?
I. The current density in metal Z increases with increasing tempera-
-T
To
ture.
II. Its resistivity at T = T, is Po.
III. Metal Z becomes a better conductor with increasing temperature.
A. I only
В. П only
C. I and II
D. II and III
1. Silver is composed of 5.8 x 1028 free electrons per cubic meter. If a silver wire with a diameter of 1.8 mm can allow charges of 360 C to flow in 1 hour,a. What is the current in the conducting wire?b. What is the magnitude of the drift velocity of the electrons in the conducting wire?
Shown below is a copper wire with the following characteristics:
Diameter: 1.45 mm.00145m 1.45 × 10-8 m
Number density of electrons: 8.47 x 1028 electrons/m³.
Conductivity: 5.96 x 107 S/m
a. Calculate the drift velocity (magnitude and direction) of the electrons in the wire when a
current of 5.00 A is running through it.
b. What direction is the current moving?
c. Remembering that current density is a vector, calculate the magnitude and direction of the
current density of this wire.
d. Calculate the resistivity of the wire.
e. Calculate the resistance of this wire if it were 10.0 m in length.
Chapter 27 Solutions
Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (4th Edition)
Ch. 27 - Prob. 1CQCh. 27 - Prob. 2CQCh. 27 - The electron drift speed in a wire is exceedingly...Ch. 27 - Prob. 4CQCh. 27 - Prob. 5CQCh. 27 - All the wires in FIGURE Q27.6 are made of the same...Ch. 27 - Both batteries in FIGURE Q27.7 are ideal and...Ch. 27 - Both batteries in FIGURE Q27.8 are ideal and...Ch. 27 - The wire in FIGURE Q27.9 consists of two segments...Ch. 27 - Prob. 10CQ
Ch. 27 - ll. The wires in FIGURE Q27.11 are all made of the...Ch. 27 - Which, if any, of these statements are true? (More...Ch. 27 - Prob. 1EAPCh. 27 - Prob. 2EAPCh. 27 - .0 × 1016 electrons flow through a cross section...Ch. 27 - Prob. 4EAPCh. 27 - Prob. 5EAPCh. 27 - Prob. 6EAPCh. 27 - Prob. 7EAPCh. 27 - Prob. 8EAPCh. 27 - Prob. 9EAPCh. 27 - Prob. 10EAPCh. 27 - Prob. 11EAPCh. 27 - The current in an electric hair dryer is 10.0 A....Ch. 27 -
13. When a nerve cell fires, charge is...Ch. 27 - Prob. 14EAPCh. 27 - Prob. 15EAPCh. 27 - Prob. 16EAPCh. 27 - Prob. 17EAPCh. 27 - Prob. 18EAPCh. 27 - Prob. 19EAPCh. 27 - Prob. 20EAPCh. 27 - Prob. 21EAPCh. 27 - Prob. 22EAPCh. 27 - Prob. 23EAPCh. 27 - 24. The two segments of the wire in FIGURE EX27.24...Ch. 27 - A 1.5 V battery provides 0.50 A of current. a. At...Ch. 27 - Prob. 26EAPCh. 27 - Prob. 27EAPCh. 27 - Prob. 28EAPCh. 27 - Prob. 29EAPCh. 27 - Prob. 30EAPCh. 27 - Prob. 31EAPCh. 27 - Prob. 32EAPCh. 27 - Prob. 33EAPCh. 27 - Prob. 34EAPCh. 27 - Prob. 35EAPCh. 27 - Prob. 36EAPCh. 27 - Prob. 37EAPCh. 27 - Prob. 38EAPCh. 27 - Prob. 39EAPCh. 27 - Prob. 40EAPCh. 27 - Prob. 41EAPCh. 27 - Prob. 42EAPCh. 27 - Prob. 43EAPCh. 27 - Prob. 44EAPCh. 27 - Prob. 45EAPCh. 27 - Prob. 46EAPCh. 27 - Prob. 47EAPCh. 27 - Prob. 48EAPCh. 27 - Prob. 49EAPCh. 27 - Variations in the resistivity of blood can give...Ch. 27 - The conducting path between the right hand and the...Ch. 27 - The conductive tissues of the upper leg can be...Ch. 27 - The resistivity of a metal increases slightly with...Ch. 27 - Prob. 54EAPCh. 27 - You need to design a 1.0 A fuse that “blows” if...Ch. 27 - I A hollow metal cylinder has inner radius a....Ch. 27 - A hollow metal sphere has inner radius a, outer...Ch. 27 - The total amount of charge in coulombs that has...Ch. 27 - The total amount of charge that has entered a wire...Ch. 27 - The current in a wire at time t is given by the...Ch. 27 - The current supplied by a battery slowly decreases...Ch. 27 - The two wires in FIGURE P27.62 are made of the...Ch. 27 - What diameter should the nichrome wire in FIGURE...Ch. 27 - An aluminum wire consists of the three segments...Ch. 27 - A wire of radius R has a current density that...Ch. 27 - A 0.60 -mm-diameter wire made from an alloy (a...Ch. 27 - A 20 -cm-long hollow nichrome tube of inner...Ch. 27 - Prob. 68EAPCh. 27 - Prob. 69EAPCh. 27 - Prob. 70EAPCh. 27 - Prob. 71EAPCh. 27 - Prob. 72EAPCh. 27 - Prob. 73EAPCh. 27 - Prob. 74EAPCh. 27 - Prob. 75EAPCh. 27 - Prob. 76EAP
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
- Copper has a density of 8.96 x 10³ kg/m³ and a resistivity of 1.70 × 1080.m. A. On the basis of the classical free-electron gas model, assuming that each Cu atom contributes one electron to the electron gas, calculate the average time between collisions of the electrons. B. Calculate the mean free path from the mean free time and the electron's thermal velocity. C. How does the mean free path compare with the spacing between atoms in the lattice of Cu?arrow_forwardmid 9634&page 3 A conductor has a cross-sectional area of 2.3x 10 m and the number of free electrons per unit volume is 8.5x 104 electron/m'. When the current is 10.2 A, find the drift speed (in mm/s) of the electrons. Use the charge of the electron to be 1.6x 10 C. Select one: OA. 0.43 OB. 0.33 OC. 32.61 OD. 0.22 OE. 42.81 page Next page 9:03 P A OD A de ENG 4/30/20 nert 17 V Badapace Nom Sok Y 7 GYH K 4. 15 Enter BYN M 1 Shift End Eadarrow_forwardThe mean time between collisions in iron is 4.8x10-15 s. ▼ Part A What electron current is driven through a 1.4-mm-diameter iron wire by a 0.070 V/m electric field? Express your answer as a number of electrons per second. 17 ΑΣΦ ie= = Submit Request Answer ? electron/sarrow_forward
- 6arrow_forwardQUESTION 2 A cylindrical nickel wire of radius 2.0 mm and length 1.6 m has a potential difference of 12 volts applied between its ends. If the wire carries a resistive load of 4.0 Q, what is the drift velocity of the conduction electrons in the wire? Assume that the number density of conduction electrons in the wire is 9.12 x 1028 conduction electrons/m3. a. 0.0060 mm/s b. 0.036 mm/s C. 0.046 mm/s d. 0.016 mm/s e. 0.026 mm/sarrow_forwardFind an expression for the electric field strength inside the metal using the information and answer all parts.arrow_forward
- 1. A hollow cylinder of length L, inner radius R1 , and radius R3 is filled with two different materials. From R1 to R2, the space is filled with a material of resistivity p1 . From R2 to R3 , the space is filled with material of resistivity p2 . a) Derive an equation for the resistance of this structure as current flows from R1 to R3 (ALONG the radial direction, NOT along the length). Ignore edge effects. b) If the total voltage across the object is Vo, find an expression for the current density along the objects ( i.e. find J(r)). Take V= Vo at R1 and V=0 at R3arrow_forwardV4arrow_forward1. A. Discuss what electric current is with respect to how you understand drift velocity of moving electric charges. B. In what ways are electron flow and electric current the same? In what ways are these terms different? C. How is drift velocity dependent on current density?arrow_forward
- A rod of length 2.3 m, with a rectangular cross section (1.5mm x 3.0 mm) is made ofa material with a resistivity of 6.1 × 10^-8 Ohm. A potential difference of 5.0 V isplaces across the ends of the rod.a. Draw a clear physics diagram of the problem.b. At what initial rate is heat generated in the rod?c. Will the rate from part (b) increase, decrease, or remain constantover time, as the rod remains connected to the 2.5 V potential difference?Explain brieflyarrow_forwardWhat is the number density of free electron carries in the metallic element nickel if the electrons available for electrical conduction is 1 e- per nickel atom? The atomic mass of nickel is 58.6934 g/mole and the density of nickel is 8.902 g/cm3. a. 3.32 x 1028 e- ' s /m3 b. 1.56 x 1029 e- ' s /m3 c. 5.64 x 1028 e- ' s /m3 d. 9.13 x 1028 e- ' s /m3 e. 7.63 x 1028 e- ' s /m3arrow_forwardConduction electrons move to the right in a certain wire. What does this imply? Assume a conventional current. A. The current density and electric field both point left. B. The current density and electric field both point right. C. The current density points right, and the electric field points left. D. The current density points left, and the electric field points right. E. The current density points left, but the direction of the electric field is unknown.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 Learning
Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher: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
Circuits, Voltage, Resistance, Current - Physics 101 / AP Physics Review with Dianna Cowern; Author: Physics Girl;https://www.youtube.com/watch?v=q8X2gcPVwO0;License: Standard YouTube License, CC-BY