CHAPTER 18
ELECTRICAL PROPERTIES
PROBLEM SOLUTIONS
18.1 This problem calls for us to compute the electrical conductivity and resistance of a silicon specimen. (a) We use Equations (18.3) and (18.4)
ELECTROMAGNETIC INDUCTION
29
29.1.
29.2.
IDENTIFY: Altering the orientation of a coil relative to a magnetic field changes the magnetic flux through the coil. This change then induces an emf in th
SOURCES OF MAGNETIC FIELD
28
28.1.
! ^ EXECUTE: (a) r = ( 0.500 m ) i , r = 0.500 m ! ! ^ v r = vr^ i = -vrk j ^
! IDENTIFY and SET UP: Use Eq.(28.2) to calculate B at each point. ! ! ! ! ! qv
MAGNETIC FIELD AND MAGNETIC FORCES
27
27.1.
! IDENTIFY and SET UP: Apply Eq.(27.2) to calculate F . Use the cross products of unit vectors from Section 1.10. ! ^ j EXECUTE: v = ( +4.19 104 m/s ) i
PARTICLE PHYSICS AND COSMOLOGY
44
44.1.
(a) IDENTIFY and SET UP: Use Eq.(37.36) to calculate the kinetic energy K. 1 EXECUTE: K = mc 2 - 1 = 0.1547 mc 2 2 2 1- v / c
m = 9.109 10 -31 kg, so K
NUCLEAR PHYSICS
43
43.1.
(a) (b) (c)
28 14 85 37
Si has 14 protons and 14 neutrons. Rb has 37 protons and 48 neutrons. Tl has 81 protons and 124 neutrons.
205 81
43.2.
(a) Using R = (1.2 fm)A1
ATOMIC STRUCTURE
41
L = l (l + 1) . Lz = ml . l = 0, 1, 2,., n - 1. ml = 0, 1, 2,., l . cos = Lz / L .
41.1.
IDENTIFY and SET UP:
EXECUTE: (a) l = 0 : L = 0 , Lz = 0 . l = 1: L = 2 , Lz = ,0, -
QUANTUM MECHANICS
40
n2h 2 . 8mL2
40.1.
IDENTIFY and SET UP: The energy levels for a particle in a box are given by En = EXECUTE: (a) The lowest level is for n = 1, and E1 =
(1)(6.626 10-34 J s)
CHAPTER 3
THE STRUCTURE OF CRYSTALLINE SOLIDS
PROBLEM SOLUTIONS
3.1 Atomic structure relates to the number of protons and neutrons in the nucleus of an atom, as well as the number and probability d
INDUCTANCE
30
Apply Eq.(30.4). di (a) E2 = M 1 = (3.25 10-4 H)(830 A/s) = 0.270 V; yes, it is constant. dt
30.1.
IDENTIFY and SET UP: EXECUTE: (b) E1 = M
di2 ; M is a property of the pair of coils
CHAPTER 13
APPLICATIONS AND PROCESSING OF CERAMICS
PROBLEM SOLUTIONS
13.1 The two desirable characteristics of glasses are optical transparency and ease of fabrication.
13.2 (a) Devitrification is
CHAPTER 16
COMPOSITES
PROBLEM SOLUTIONS
16.1
The major difference in strengthening mechanism between large-particle and dispersionstrengthened particle-reinforced composites is that for large-part
CHAPTER 20
MAGNETIC PROPERTIES
PROBLEM SOLUTIONS
20.1 (a) We may calculate the magnetic field strength generated by this coil using Equation (20.1) as
NI l
H =
=
(200 turns)(10 A) = 10,000 A - t
CHAPTER 19
THERMAL PROPERTIES
PROBLEM SOLUTIONS
19.1 The energy, E, required to raise the temperature of a given mass of material, m, is the product of the specific heat, the mass of material, and
CHAPTER 22
ECONOMIC, ENVIRONMENTAL, AND SOCIETAL ISSUES IN MATERIALS SCIENCE AND ENGINEERING
PROBLEM SOLUTION
22.D1W The three materials that are used for beverage containers are glass, aluminum, a
CHAPTER 21
OPTICAL PROPERTIES
PROBLEM SOLUTIONS
21.1 Similarities between photons and phonons are: 1) Both may be described as being wave-like in nature. 2) The energy for both is quantized. Differ
CHAPTER 15
CHARACTERISTICS, APPLICATIONS, AND PROCESSING OF POLYMERS
PROBLEM SOLUTIONS
15.1 From Figure 15.3, the elastic modulus is the slope in the elastic linear region of the 20 C curve, which
CHAPTER 14
POLYMER STRUCTURES
PROBLEM SOLUTIONS
14.1
Polymorphism is when two or more crystal structures are possible for a material of given composition. Isomerism is when two or more polymer mol
CHAPTER 17
CORROSION AND DEGRADATION OF MATERIALS
PROBLEM SOLUTIONS
17.1 (a) Oxidation is the process by which an atom gives up an electron (or electrons) to become a cation. Reduction is the proce
CHAPTER 12
STRUCTURES AND PROPERTIES OF CERAMICS
PROBLEM SOLUTIONS
12.1
The two characteristics of component ions that determine the crystal structure are:
1) the
magnitude of the electrical cha
CHAPTER 9
PHASE DIAGRAMS
PROBLEM SOLUTIONS
9.1 Three variables that determine the microstructure of an alloy are 1) the alloying elements present, 2) the concentrations of these alloying elements,
CHAPTER 8
FAILURE
PROBLEM SOLUTIONS
8.1 Several situations in which the possibility of failure is part of the design of a component or product are as follows: (1) the pull tab on the top of aluminu
CHAPTER 7
DISLOCATIONS AND STRENGTHENING MECHANISMS
PROBLEM SOLUTIONS
7.1 The dislocation density is just the total dislocation length per unit volume of material (in this case per 3 5 -2 cubic mil
CHAPTER 2
ATOMIC STRUCTURE AND INTERATOMIC BONDING
PROBLEM SOLUTIONS
2.1 (a) When two or more atoms of an element have different atomic masses, each is termed an isotope. (b) The atomic weights of
CHAPTER 5
DIFFUSION
PROBLEM SOLUTIONS
5.1 Self-diffusion is atomic migration in pure metals-i.e., when all atoms exchanging positions are of the same type. Interdiffusion is diffusion of atoms of o
CHAPTER 4
IMPERFECTIONS IN SOLIDS
PROBLEM SOLUTIONS
4.1 In order to compute the fraction of atom sites that are vacant in lead at 600 K, we must employ Equation (4.1). As stated in the problem, Q =
DIRECT-CURRENT CIRCUITS
26
26.1.
26.2.
26.3.
IDENTIFY: The newly-formed wire is a combination of series and parallel resistors. SET UP: Each of the three linear segments has resistance R/3. The c
CURRENT, RESISTANCE, AND ELECTROMOTIVE FORCE
25
25.1.
25.2.
IDENTIFY: I = Q / t . SET UP: 1.0 h = 3600 s EXECUTE: Q = It = (3.6 A)(3.0)(3600 s) = 3.89 104 C. EVALUATE: Compared to typical charges
CAPACITANCE AND DIELECTRICS
24
24.1.
24.2.
24.3.
Q Vab SET UP: 1 F = 10 -6 F EXECUTE: Q = CVab = (7.28 10 -6 F)(25.0 V) = 1.82 10 -4 C = 182 C EVALUATE: One plate has charge + Q and the other