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
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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
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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?
Q. 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 discs
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
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- 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.arrow_forwardCopper 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_forwardProblem 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_forward
- mid 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_forwardA. Studies have found that a typical lightning flash is about 300 million Volts. What is the electric field between the cloud and the ground? B. What is the surface charge density on the ground? C. If the cloud extended over 1 km long and 1 km wide, how much charge does the cloud has? C1. If that amount of charge come to the ground in 1 second, what is the current produced by the lightning?arrow_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
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