SOUND AND HEARING
16
16.1.
IDENTIFY and SET UP: Eq.(15.1) gives the wavelength in terms of the frequency. Use Eq.(16.5) to relate the pressure and displacement amplitudes. EXECUTE: (a) = v / f = (344
Chapter 31: AC Circuits
AC Currents and Voltages
In this chapter, we discuss the behavior of circuits driven by a source of
AC. Recall that AC means, literally, alternating current. An
alternating cur
Chapter 32: Electromagnetic Waves
Gausss Law for Magnetism
Weve seen that lines of B always form closed loops. This implies that
it is impossible to have any nonzero magnetic flux through any closed
s
Chapter 30: Inductance
Mutual Inductance
be the time-varying current through Coil 1. Let v ( t ) be the time-varying Suppose we have one coil of wire (Coil 1) connected to an AC source. (See Figure 1.
Chapter 29: Electromagnetic Induction
Key idea: A changing magnetic field (magnetic flux) induces an electric field.
Induction Experiments
During the 1830s, the English scientist Michael Faraday carri
Chapter 28: Sources of Magnetic Field
In the last chapter, we talked about what happens to a charge moving in
a magnetic field B , but we didnt consider how the B got there in the first
place. We just
Chapter 26: DC Circuits
Direct Current ("DC"): a current that is constant in magnitude and "sense" of flow. Alternating Current ("AC"): a current that alternates in sense of flow. An alternating curre
Chapter 24: Capacitance and Dielectrics
Capacitors and Capacitance
A capacitor ("cap", for short) is a device for storing charge. A capacitor consists of two conductors, called the plates, separated b
Chapter 25: Current, Resistance, and Electromotive Force
Electric Current
"loose" definition: a flow of electric charge. formal definition: the rate at which charge passes a point (in a wire, e.g.) T
Chapter 23: Electric Potential
Electric Potential Energy
It turns out (won't show this) that the electrostatic force, qq ^ Felec = k 1 2 2 r , is conservative. r
Recall, for any conservative force,
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 3 , the
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 = 1.27
Chapter 21: Electric Charge and Electric Field
Electric Charge
Properties of Electric Charge 1. two types: positive, negative 2. like charges repel; opposite attract 3. charge is conserved 4. charge i
Chapter 22: Gausss Law
Electric Flux
The product of an area and the component of E that is perpendicular to the area. General Definition: (1) elec = E dA indispensible concept for Gausss law problems
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, - . l =
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) 2 = 1
PHOTONS, ELECTRONS, AND ATOMS
38
h f - . The e e
38.1.
IDENTIFY and SET UP: The stopping potential V0 is related to the frequency of the light by V0 = slope of V0 versus f is h/e. The value fth of f w
THE WAVE NATURE OF PARTICLES
39
hc
39.1.
IDENTIFY and SET UP: EXECUTE: (a) =
=
h h = . For an electron, m = 9.11 10 -31 kg . For a proton, m = 1.67 10 -27 kg . p mv
6.63 10-34 J s = 1.55 10-10 m = 0.1
GEOMETRIC OPTICS
34
y = 4.85 cm
Figure 34.1
34.1.
IDENTIFY and SET UP: Plane mirror: s = - s (Eq.34.1) and m = y / y = - s / s = +1 (Eq.34.2). We are given s and y and are asked to find s and y. EXECU
RELATIVITY
37
Figure 37.1
37.1.
IDENTIFY and SET UP: Consider the distance A to O and B to O as observed by an observer on the ground (Figure 37.1).
(b) d = vt = (0.900) (3.00 108 m s) (5.05 10-6 s) =
ALTERNATING CURRENT
31
31.1.
IDENTIFY: SET UP: EXECUTE:
i = I cos t and I rms = I/ 2.
The specified value is the root-mean-square current; I rms = 0.34 A.
(a) I rms = 0.34 A
31.2.
(b) I = 2 I rms = 2(
DIFFRACTION
36
36.1.
IDENTIFY: Use y = x tan to calculate the angular position of the first minimum. The minima are located by m , m = 1, 2,. First minimum means m = 1 and sin 1 = / a and = a sin 1. U
ELECTROMAGNETIC WAVES
32
32.1.
IDENTIFY: Since the speed is constant, distance x = ct. SET UP: The speed of light is c = 3.00 108 m/s . 1 yr = 3.156 107 s.
32.2.
x 3.84 108 m = = 1.28 s c 3.00 108 m/s
THE NATURE AND PROPAGATION OF LIGHT
33
33.1.
IDENTIFY: For reflection, r = a . SET UP: The desired path of the ray is sketched in Figure 33.1. 14.0 cm EXECUTE: tan = , so = 50.6 . r = 90 - = 39.4 and
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 so
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 + (
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 r 0 qv
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 the co