Physics for Scientists and Engineers: A Strategic Approach with Modern Physics, Books a la Carte Edition; Student Workbook for Physics for Scientists ... eText -- ValuePack Access Card (4th Edition)
4th Edition
ISBN: 9780134564234
Author: Randall D. Knight (Professor Emeritus)
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 27, Problem 57EAP
A hollow metal sphere has inner radius a, outer radius b, and
a. Find an expression for the electric field strength inside the metal as a function of the radius r from the center.
b. Evaluate the electric field strength at the inner and outer surfaces of a copper sphere 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
A hollow metal cylinder has inner radius a, outer radius b, length L,
and conductivity O. The current 1 is radially outward from the inner surface to the
outer surface.
a) Find an expression for the electric field strength inside the metal as a
function of the radius r from the cylinder's axis.
0) Evaluate the electric field strength at the inner and outer surfaces of an
iron cylinder given the following:
a =1.0cm
b= 2.5cm
L=10.0cm
I = 25 A
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, Books a la Carte Edition; Student Workbook for Physics for Scientists ... eText -- ValuePack Access Card (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
- mm.3 A copper wire has a square cross section 2.1 mm on a side. The wire is 3.5 m long and carries a current of 3.6 A . The density of free electrons is 8.5×1028m−3 . Find the magnitude of the electric field in the wire.arrow_forwardAn unknown wire in a circuit has a circular cross-section with diameter 4.8 mm. It carries a current of 2.1 mA. A. What is the current density, in milliamperes per square centimeter, in this wire? B. If you assume the drift velocity in this wire is 1 × 10-2 cm/s, what is the density of charge carries per cubic centimeter? C. If the conductivity in this wire is 3.5 × 106 Ω-1 m-1, what is the average time between collisions, in nanoseconds?arrow_forward1. 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_forward
- 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_forwardFind an expression for the electric field strength inside the metal using the information and answer all parts.arrow_forwardQ. The ends of the cylinder are made of conducting discs and the space between these discs are filled with an inhomogeneous ohmic medium whose conductivity o = L/(z+1). Where L is the separation distance of the discs. A d-c voltage Vo is applied across the discs as shown on the right. Determine V. a) The total resistance between the discs b) The surface charge densities on the discs c) The volume charge density and the total amount of charge between the discsarrow_forward
- Problem 1: A copper cylinder A copper cylinder has a diameter of 20.0 mm and a length of 10 m. A potential difference of 100 V is applied across its length. Determine the following quantities: a. The resistance of the cylinder in Ohms. b. The current through the cylinder in Amperes. c. The current density (magnitude and direction) in the cylinder. d. The electric field (magnitude and direction) inside the copper cylinder. e. The drift speed of the electrons in the cylinder in km/h.arrow_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_forward1. Consider a cylindrical wire that has conduction electron density 6.0 × 1028 1 ,3 and radius 0.5 mm. An electric field with strength m- 7.5 × 10-4 creates a current of 4.8 x 10! electrons per second. a) What is the average drift speed for an electron? (include units) b) What is the average time in between electron collisions? fs (express your answer in femtoseconds)arrow_forward
- A conducting rod with a circular cross-section (this rod is a cylinder) has a radius of 10 mm and is 2 metres long. The rod is made of aluminum, so its conductivity is 3.6 x 10' S/m. A potential difference (voltage) is applied at both ends of this rod and the current is I = 90 A. That's a lot of current! a. What is the resistance of the rod, when measured from one end to the other? b. Calculate the current density in the rod along its length. Determine the electric field amplitude at all locations within the rod. c. d. What is the electric potential difference between the two ends of the rod.arrow_forward5. An iron wire has a cross-sectional area of 5.00 x 10-6m². Carry out the following steps to determine the drift speed of the conduction electrons in the wire if it carries a current of 30.0A. a. How many kilograms are there in 1.00 mole of iron? b. Starting with the density of iron and the result of part (a), compute the molar density of iron (the number of moles of iron per cubic meter). c. Calculate the number density of iron atoms using Avogadro's number. d. Obtain the number density of conduction electrons given that there are two conduction electrons per iron atom. e. Calculate the drift speed of conduction electrons in this wire.arrow_forwardp2arrow_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