Assume the average value of the vertical component of Earth’s magnetic field is \(43 \mu \mathrm{T}\) (downward) for all of Arizona, which has an area of \(2.95 \times 10^{5} \mathrm{km}^{2}\). What then are the (a) magnitude and (b) direction (inward or outward) of the net magnetic flux through the rest of Earth’s surface (the entire surface excluding Arizona)? Text Transcription: 43 mu mathrm T 2.95 times 10^5 mathrm km^2
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Table of Contents
1
Measurement
1.1
Measuring Things, Including Lengths
1.2
Time
1.3
Mass
2
Motion Along a Straight Line
2.1
Position, Displacement, and Average Velocity
2.2
Instantaneous Velocity And Speed
2.3
Acceleration
2.4
Constant Acceleration
2.5
Free-Fall Acceleration
2.6
Graphical Integration In Motion Analysis
3
Vectors
3.1
Vectors and their Components
3.2
Unit Vectors, Adding Vectors By Components
3.3
Multiplying Vectors
4
Motion In Two And Three Dimensions
4.1
Position And Displacement
4.2
Average Velocity And Instantaneous Velocity
4.3
Average Acceleration And Instantaneous Acceleration
4.4
Projectile Motion
4.5
Uniform Circular Motion
4.6
Relative Motion In One Dimension
5
Force And Motion—i
5.1
Newton’s First And Second Laws
5.2
Some Particular Forces
5.3
Applying Newton’s Laws
6
Force And Motion—ii
6.1
Friction
6.2
The Drag Force And Terminal Speed
6.3
Uniform Circular Motion
6.3
Uniform Circular Motion
7
Kinetic Energy And Work
7.1
Kinetic Energy
7.2
Work And Kinetic Energy
7.3
Work Done By The Gravitational Force
7.4
Work Done By A Spring Force
7.5
Work Done By A General Variable Force
7.6
Power
8
Potential Energy And Conservation Of Energy
8.1
Potential Energy
8.2
Conservation Of Mechanical Energy
8.3
Reading A Potential Energy Curve
8.4
Work Done On A System By An External Force
8.5
Conservation Of Energy
9
Center Of Mass And Linear Momentum
9.1
Center Of Mass And Linear Momentum
9.2
Newton’s Second Law For A System Of
Particles
9.3
Linear Momentum
9.4
Collision And Impulse
9.5
Conservation Of Linear Momentum
9.6
Momentum And Kinetic Energy In
Collisions
9.7
Elastic Collisions In One Dimension
9.8
Collisions In Two Dimensions
9.9
Systems With Varying Mass: A Rocket
10
Rotation
10.1
Rotational Variables
10.2
Rotation With Constant Angular Acceleration
10.3
Relating The Linear And Angular Variables
10.4
Kinetic Energy Of Rotation
10.5
Calculating The Rotational Inertia
10.6
Torque
10.7
Newton’s Second Law For Rotation
10.8
Work And Rotational Kinetic Energy
11
Rolling,
Torque, And Angular Momentum
11.1
Rolling As Translation And Rotation Combined
11.2
Forces And Kinetic Energy Of Rolling
11.3
The Yo-Yo
11.4
Torque Revisited
11.5
Angular Momentum
11.6
Newton’s Second Law In Angular Form
11.7
Angular Momentum Of A Rigid Body
11.8
Conservation Of Angular Momentum
11.9
Precession Of A Gyroscope
12
Equilibrium And Elasticity
12.1
Equilibrium
12.2
Some Examples Of Static Equilibrium
12.3
Elasticity
13
Gravitation
13.1
Newton’s Law Of Gravitation
13.2
Gravitation And The Principle Of Superposition
13.3
Gravitation Near Earth’s Surface
13.4
Gravitation Inside Earth
13.5
Gravitational Potential Energy
13.6
Planets And Satellites: Kepler’s Laws
13.7
Satellites: Orbits And Energy
13.8
Einstein And Gravitation
14
Fluids
14.1
Fluids, Density, And Pressure
14.2
Fluids At Rest
14.3
Measuring Pressure
14.4
Pascal’s Principle
14.5
Archimedes’ Principle
14.6
The Equation Of Continuity
14.7
Bernoulli’s Equation
15
Oscillations
15.1
Simple Harmonic Motion
15.2
Energy In Simple Harmonic Motion
15.3
An Angular Simple Harmonic Oscillator
15.4
Pendulums, Circular Motion
15.5
Damped Simple Harmonic Motion
15.6
Forced Oscillations And Resonance
16
Waves—i
16.1
Transverse Waves
16.2
Wave Speed On A Stretched String
16.3
Energy And Power Of A Wave Traveling Along A String
16.4
The Wave Equation
16.5
Interference Of Waves
16.6
Phasors
16.7
Standing Waves And Resonance
17
Waves—ii
17.1
Speed Of Sound
17.2
Traveling Sound Waves
17.3
Interference
17.4
Intensity And Sound Level
17.5
Sources Of Musical Sound
17.6
Beats
17.7
The Doppler Effect
18
Temperature, Heat, And The First Law Of Thermodynamics
18.1
Temperature
18.2
The Celsius And Fahreneit Scales
18.3
Thermal Expansion
18.4
Absorption Of Heat
18.5
The First Law Of Thermodynamics
18.6
Heat Transfer Mechanisms
19
The Kinetic Theory Of Gases
19.1
Avogadro's Number
19.2
Ideal Gases
19.3
Pressure, Temperature, And Rms Speed
19.4
Translational Kinetic Energy
19.5
Mean Free Path
19.6
The Distribution Of Molecular Speeds
19.7
The Molar Specific Heats Of An Ideal Gas
19.8
Degrees Of Freedom And Molar Specific Heats
19.9
The Adiabatic Expansion Of An Ideal Gas
20
Entropy And The Second Law Of Thermodynamics
20.1
Entropy
20.2
Entropy In The Real World: Engines
20.3
Refregirators And Real Engines
20.4
A Statistical View Of Entropy
21
Coulomb’s Law
21.1
Coulomb's Law
21.2
Charge Is Quantized
21.3
Charge Is Conserved
22
Electric Fields
22.1
The Electric Field
22.2
The Electric Field Due To A Charge Particle
22.3
The Electric Field Due To A Dipole
22.4
The Electric Field Due To A Line Of Charge
22.5
The Electric Field Due To A Charged Disk
22.6
A Point Charge In An Electric Field
22.7
A Dipole In An Electric Field
23
Gauss’ Law
23.1
Electric Flux
23.2
Gauss’ Law
23.3
A Charged Isolated Conductor
23.4
Applying Gauss’ Law: Cylindrical Symmetry
23.5
Applying Gauss’ Law: Planar Symmetry
23.6
Applying Gauss’ Law: Spherical Symmetry
24
Electric Potential
24.1
Electric Potential
24.2
Equipotential Surfaces And The Electric Field
24.3
Potential Due To A Charged Particle
24.4
Potential Due To An Electric Dipole
24.5
Potential Due To A Continuous Charge Distribution
24.6
Calculating The Field From The Potential
24.7
Electric Potential Energy Of A System Of Charged Particles
24.8
Potential Of A Charged Isolated Conductor
25
Capacitance
25.1
Capacitance
25.2
Calculating The Capacitance
25.3
Capacitors In Parallel And In Series
25.4
Energy Stored In An Electric Field
25.5
Capacitor With A Dielectric
25.6
Dielectrics And Gauss’ Law
26
Current And Resistance
26.1
Electric Current
26.2
Current Density
26.3
Resistance And Resistivity
26.4
Ohm’s Law
26.5
Power, Semiconductors, Superconductors
27
Circuits
28
Magnetic Fields
29
Magnetic Fields Due To Currents
30
Induction And Inductance
31
Electromagnetic Oscillations
And Alternating Current
31.1
Lc Oscillations
31.2
Damped Oscillations In An Rlc Circuit
31.3
Forced Oscillations Of Three Simple Circuits
31.4
The Series Rlc Circuit
31.5
Power In Alternating-Current Circuits
31.6
Transformers
32
Maxwell’s Equations; Magnetism Of Matter
32.1
Gauss’ Law For Magnetic Fields
32.2
Induced Magnetic Fields
32.3
Displacement Current
32.4
Magnets
32.5
Magnetism And Electrons
32.6
Diamagnetism
32.7
Paramagnetism
32.8
Ferromagnetism
33
Electromagnetic Waves
33.1
Electromagnetic Waves
33.2
Energy Transport And The Poynting Vector
33.3
Radiation Pressure
33.4
Polarization
33.5
Reflection And Refraction
33.6
Total Internal Reflection
34
Images
34.1
Images And Plane Mirrors
34.2
Images And Plane Mirrors
34.3
Spherical Refracting Surfaces
34.4
Thin Lenses
34.5
Optical Instruments
35
Interference
35.1
Light As A Wave
35.2
Young’s Interference Experiment
35.3
Interference And Double-Slit Intensity
35.4
Interference From Thin Films
35.5
Michelson’s Interferometer
36
Diffraction
36.1
Single-Slit Diffraction
36.2
Intensity In Single-Slit Diffraction
36.3
Diffraction By A Circular Aperture
36.4
Diffraction By A Double Slit
36.5
Diffraction Gratings
36.6
Gratings: Dispersion And Resolving Power
36.7
X-Ray Diffraction
37
Relativity
38
Photons And Matter Waves
39
More About Matter Waves
40
All About Atoms
41
Conduction Of Electricity In Solids
42
Nuclear Physics
43
Energy From The Nucleus
44
Quarks, Leptons, And The Big Bang
Textbook Solutions for Fundamentals of Physics
Chapter 32.4 Problem 31
Question
In New Hampshire the average horizontal component of Earth’s magnetic field in 1912 was \(16 \mu \mathrm{T}\), and the average inclination or “dip” was \(73^{\circ}\). What was the corresponding magnitude of Earth’s magnetic field?
Text Transcription:
16 mu mathrm T
73^circ
Solution
The first step in solving 32.4 problem number trying to solve the problem we have to refer to the textbook question: In New Hampshire the average horizontal component of Earth’s magnetic field in 1912 was \(16 \mu \mathrm{T}\), and the average inclination or “dip” was \(73^{\circ}\). What was the corresponding magnitude of Earth’s magnetic field?Text Transcription:16 mu mathrm T73^circ
From the textbook chapter Magnets you will find a few key concepts needed to solve this.
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full solution
Title
Fundamentals of Physics 11
Author
Resnick, Robert; Halliday, David; Walker, Jearl
ISBN
9781119460138
?In New Hampshire the average horizontal component of Earth’s magnetic field in 1912 was
Chapter 32.4 textbook questions
-
Chapter 32: Problem 30 Fundamentals of Physics 11
-
Chapter 32: Problem 31 Fundamentals of Physics 11
In New Hampshire the average horizontal component of Earth’s magnetic field in 1912 was \(16 \mu \mathrm{T}\), and the average inclination or “dip” was \(73^{\circ}\). What was the corresponding magnitude of Earth’s magnetic field? Text Transcription: 16 mu mathrm T 73^circ
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