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Principles of Physics, Extended

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1 Measurement1.1 MEASURING THINGS, INCLUDING LENGTHS* What Is Physics?* Measuring Things* The International System of Units* Changing Units* Length* Significant Figures and Decimal Places1.2 TIME* Time1.3 MASS* Masso The Standard Kilogramo Kibble Balanceo A Second Mass Standardo DensityREVIEW & SUMMARYPROBLEMS2 Motion Along a Straight Line2.1 POSITION, DISPLACEMENT, AND AVERAGE VELOCITY* What Is Physics?* Motion* Position and Displacement* Average Velocity and Average Speed2.2 INSTANTANEOUS VELOCITY AND SPEED* Instantaneous Velocity and Speed2.3 ACCELERATION* Acceleration2.4 CONSTANT ACCELERATION* Constant Acceleration: A Special Case* Another Look at Constant Acceleration2.5 FREE-FALL ACCELERATION* Free-Fall Acceleration2.6 GRAPHICAL INTEGRATION IN MOTION ANALYSIS* Graphical Integration in Motion AnalysisREVIEW & SUMMARYQUESTIONSPROBLEMS3 Vectors3.1 VECTORS AND THEIR COMPONENTS* What Is Physics?* Vectors and Scalars* Adding Vectors Geometrically* Components of Vectors3.2 UNIT VECTORS, ADDING VECTORS BY COMPONENTS* Unit Vectors* Adding Vectors by Components* Vectors and the Laws of Physics3.3 MULTIPLYING VECTORS* Multiplying Vectors* Multiplying a Vector by a Scalar* Multiplying a Vector by a Vector* The Scalar Product* The Vector ProductREVIEW & SUMMARYQUESTIONSPROBLEMS4 Motion in Two and Three Dimensions4.1 POSITION AND DISPLACEMENT* What Is Physics?* Position and Displacement4.2 AVERAGE VELOCITY AND INSTANTANEOUS VELOCITY* Average Velocity and Instantaneous Velocity4.3 AVERAGE ACCELERATION AND INSTANTANEOUS ACCELERATION* Average Acceleration and Instantaneous Acceleration4.4 PROJECTILE MOTION* Projectile Motiono Two Golf Ballso A Great Student Rousero The Horizontal Motiono The Vertical Motiono The Equation of the Patho The Horizontal Ro The Effects of the Air4.5 UNIFORM CIRCULAR MOTION* Uniform Circular Motiono Proof of Eq. 4.5.14.6 RELATIVE MOTION IN ONE DIMENSION* Relative Motion in One Dimension4.7 RELATIVE MOTION IN TWO DIMENSIONS* Relative Motion in Two DimensionsREVIEW & SUMMARYQUESTIONSPROBLEMS5 Force and Motion--I5.1 NEWTON'S FIRST AND SECOND LAWS* What Is Physics?* Newtonian Mechanics* Newton's First Law* Forceo Inertial Reference Frames* Mass* Newton's Second Law5.2 SOME PARTICULAR FORCES* Some Particular Forceso The Gravitational Forceo Weighto The Normal Forceo Frictiono Tension5.3 APPLYING NEWTON'S LAWS* Newton's Third Law* Applying Newton's LawsREVIEW & SUMMARYQUESTIONSPROBLEMS6 Force and Motion--II6.1 FRICTION* What Is Physics?* Friction* Properties of Friction6.2 THE DRAG FORCE AND TERMINAL SPEED* The Drag Force and Terminal Speed6.3 UNIFORM CIRCULAR MOTION* Uniform Circular MotionREVIEW & SUMMARYQUESTIONSPROBLEMS7 Kinetic Energy and Work7.1 KINETIC ENERGY* What Is Physics?* What Is Energy?* Kinetic Energy7.2 WORK AND KINETIC ENERGY* Work* Work and Kinetic Energyo Finding an Expression for Worko Work-Kinetic Energy Theorem7.3 WORK DONE BY THE GRAVITATIONAL FORCE* Work Done by the Gravitational Forceo Work Done in Lifting and Lowering an Object7.4 WORK DONE BY A SPRING FORCE* Work Done by a Spring Forceo The Spring Forceo The Work Done by a Spring Forceo The Work Done by an Applied Force7.5 WORK DONE BY A GENERAL VARIABLE FORCE* Work Done by a General Variable Forceo One-Dimensional Analysiso Three-Dimensional Analysiso Work-Kinetic Energy Theorem with a Variable Force7.6 POWER* PowerREVIEW & SUMMARYQUESTIONSPROBLEMS8 Potential Energy and Conservation of Energy8.1 POTENTIAL ENERGY* What Is Physics?* Work and Potential Energyo Conservative and Nonconservative Forces* Path Independence of Conservative Forceso Proof of Equation 8.1.2* Determining Potential Energy Valueso Gravitational Potential Energyo Elastic Potential Energy8.2 CONSERVATION OF MECHANICAL ENERGY* Conservation of Mechanical Energy8.3 READING A POTENTIAL ENERGY CURVE* Reading a Potential Energy Curveo Finding the Force Analyticallyo The Potential Energy Curveo Turning Pointso Equilibrium Points8.4 WORK DONE ON A SYSTEM BY AN EXTERNAL FORCE* Work Done on a System by an External Forceo No Friction Involvedo Friction Involved8.5 CONSERVATION OF ENERGY* Conservation of Energyo Isolated Systemo External Forces and Internal Energy Transferso PowerREVIEW & SUMMARYQUESTIONSPROBLEMS9 Center of Mass and Linear Momentum9.1 CENTER OF MASS* What Is Physics?* The Center of Masso Systems of Particleso Solid Bodies9.2 NEWTON'S SECOND LAW FOR A SYSTEM OF PARTICLES* Newton's Second Law for a System of Particleso Proof of Equation 9.2.19.3 LINEAR MOMENTUM* Linear Momentum* The Linear Momentum of a System of Particles9.4 COLLISION AND IMPULSE* Collision and Impulseo Single Collisiono Series of Collisions9.5 CONSERVATION OF LINEAR MOMENTUM* Conservation of Linear Momentum9.6 MOMENTUM AND KINETIC ENERGY IN COLLISIONS* Momentum and Kinetic Energy in Collisions* Inelastic Collisions in One Dimensiono One-Dimensional Inelastic Collisiono One-Dimensional Completely Inelastic Collisiono Velocity of the Center of Mass9.7 ELASTIC COLLISIONS IN ONE DIMENSION* Elastic Collisions in One Dimensiono Stationary Targeto Moving Target9.8 COLLISIONS IN TWO DIMENSIONS* Collisions in Two Dimensions9.9 SYSTEMS WITH VARYING MASS: A ROCKET* Systems with Varying Mass: A Rocketo Finding the Accelerationo Finding the VelocityREVIEW & SUMMARYQUESTIONSPROBLEMS10 Rotation10.1 ROTATIONAL VARIABLES* What Is Physics?* Rotational Variableso Angular Positiono Angular Displacemento Angular Velocityo Angular Acceleration* Are Angular Quantities Vectors?10.2 ROTATION WITH CONSTANT ANGULAR ACCELERATION* Rotation with Constant Angular Acceleration10.3 RELATING THE LINEAR AND ANGULAR VARIABLES* Relating the Linear and Angular Variableso The Positiono The Speedo The Acceleration10.4 KINETIC ENERGY OF ROTATION* Kinetic Energy of Rotation10.5 CALCULATING THE ROTATIONAL INERTIA* Calculating the Rotational Inertiao Parallel-Axis Theoremo Proof of the Parallel-Axis Theorem10.6 TORQUE* Torque10.7 NEWTON'S SECOND LAW FOR ROTATION* Newton's Second Law for Rotationo Proof of Equation 10.7.110.8 WORK AND ROTATIONAL KINETIC ENERGY* Work and Rotational Kinetic Energyo Proof of Eqs. 10.8.4 through 10.8.7REVIEW & SUMMARYQUESTIONSPROBLEMS11 Rolling, Torque, and Angular Momentum11.1 ROLLING AS TRANSLATION AND ROTATION COMBINED* What Is Physics?* Rolling as Translation and Rotation Combinedo Rolling as Pure Rotation11.2 FORCES AND KINETIC ENERGY OF ROLLING* The Kinetic Energy of Rolling* The Forces of Rollingo Friction and Rollingo Rolling Down a Ramp11.3 THE YO-YO* The Yo-Yo11.4 TORQUE REVISITED* Torque Revisited11.5 ANGULAR MOMENTUM* Angular Momentum11.6 NEWTON'S SECOND LAW IN ANGULAR FORM* Newton's Second Law in Angular Formo Proof of Equation 11.6.211.7 ANGULAR MOMENTUM OF A RIGID BODY* The Angular Momentum of a System of Particles* The Angular Momentum of a Rigid Body Rotating About a Fixed Axis11.8 CONSERVATION OF ANGULAR MOMENTUM* Conservation of Angular Momentum11.9 PRECESSION OF A GYROSCOPE* Precession of a GyroscopeREVIEW & SUMMARYQUESTIONSPROBLEMS12 Equilibrium and Elasticity12.1 EQUILIBRIUM* What Is Physics?* Equilibrium* The Requirements of Equilibrium* The Center of Gravityo Proof12.2 SOME EXAMPLES OF STATIC EQUILIBRIUM* Some Examples of Static Equilibrium12.3 ELASTICITY* Indeterminate Structures* Elasticityo Tension and Compressiono Shearingo Hydraulic StressREVIEW & SUMMARYQUESTIONSPROBLEMS13 Gravitation13.1 NEWTON'S LAW OF GRAVITATION* What Is Physics?* Newton's Law of Gravitation13.2 GRAVITATION AND THE PRINCIPLE OF SUPERPOSITION* Gravitation and the Principle of Superposition13.3 GRAVITATION NEAR EARTH'S SURFACE* Gravitation Near Earth's Surface13.4 GRAVITATION INSIDE EARTH* Gravitation Inside Earth13.5 GRAVITATIONAL POTENTIAL ENERGY* Gravitational Potential Energyo Proof of Equation 13.5.1o Path Independenceo Potential Energy and Forceo Escape Speed13.6 PLANETS AND SATELLITES: KEPLER'S LAWS* Planets and Satellites: Kepler's Laws13.7 SATELLITES: ORBITS AND ENERGY* Satellites: Orbits and Energy13.8 EINSTEIN AND GRAVITATION* Einstein and Gravitationo Principle of Equivalenceo Curvature of Spaceo Black HolesREVIEW & SUMMARYQUESTIONSPROBLEMS14 Fluids14.1 FLUIDS, DENSITY, AND PRESSURE* What Is Physics?* What Is a Fluid?* Density and Pressureo Densityo Pressure14.2 FLUIDS AT REST* Fluids at Rest14.3 MEASURING PRESSURE* Measuring Pressureo The Mercury Barometero The Open-Tube Manometer14.4 PASCAL'S PRINCIPLE* Pascal's Principleo Demonstrating Pascal's Principleo Pascal's Principle and the Hydraulic Lever14.5 ARCHIMEDES' PRINCIPLE* Archimedes' Principleo Floatingo Apparent Weight in a Fluid14.6 THE EQUATION OF CONTINUITY* Ideal Fluids in Motion* The Equation of Continuity14.7 BERNOULLI'S EQUATION* Bernoulli's Equationo Proof of Bernoulli's EquationREVIEW & SUMMARYQUESTIONSPROBLEMS15 Oscillations15.1 SIMPLE HARMONIC MOTION* What Is Physics?* Simple Harmonic Motiono The Velocity of SHMo The Acceleration of SHM* The Force Law for Simple Harmonic Motion15.2 ENERGY IN SIMPLE HARMONIC MOTION* Energy in Simple Harmonic Motion15.3 AN ANGULAR SIMPLE HARMONIC OSCILLATOR* An Angular Simple Harmonic Oscillator15.4 PENDULUMS, CIRCULAR MOTION* Pendulumso The Simple Pendulumo The Physical Pendulumo Measuring g* Simple Harmonic Motion and Uniform Circular Motion15.5 DAMPED SIMPLE HARMONIC MOTION* Damped Simple Harmonic Motion15.6 FORCED OSCILLATIONS AND RESONANCE* Forced Oscillations and ResonanceREVIEW & SUMMARYQUESTIONSPROBLEMS16 Waves--I16.1 TRANSVERSE WAVES* What Is Physics?* Types of Waves* Transverse and Longitudinal Waves* Wavelength and Frequencyo Amplitude and Phaseo Wavelength and Angular Wave Numbero Period, Angular Frequency, and Frequencyo Phase Constant* The Speed of a Traveling Wave16.2 WAVE SPEED ON A STRETCHED STRING* Wave Speed on a Stretched Stringo Dimensional Analysiso Derivation from Newton's Second Law16.3 ENERGY AND POWER OF A WAVE TRAVELING ALONG A STRING* Energy and Power of a Wave Traveling Along a Stringo Kinetic Energyo Elastic Potential Energyo Energy Transporto The Rate of Energy Transmission16.4 THE WAVE EQUATION* The Wave Equation16.5 INTERFERENCE OF WAVES* The Principle of Superposition for Waves* Interference of Waves16.6 PHASORS* Phasors16.7 STANDING WAVES AND RESONANCE* Standing Waves* Standing Waves and ResonanceREVIEW & SUMMARYQUESTIONSPROBLEMS17 Waves--II17.1 SPEED OF SOUND* What Is Physics?* Sound Waves* The Speed of Soundo Formal Derivation of Eq. 17.1.317.2 TRAVELING SOUND WAVES* Traveling Sound Waveso Derivation of Eqs. 17.2.2 and 17.2.317.3 INTERFERENCE* Interference17.4 INTENSITY AND SOUND LEVEL* Intensity and Sound Levelo Variation of Intensity with Distanceo The Decibel Scaleo Derivation of Eq. 17.4.217.5 SOURCES OF MUSICAL SOUND* Sources of Musical Sound17.6 BEATS* Beats17.7 THE DOPPLER EFFECT* The Doppler Effecto Detector Moving, Source Stationaryo Source Moving, Detector Stationaryo General Doppler Effect Equation17.8 SUPERSONIC SPEEDS, SHOCK WAVES* Supersonic Speeds, Shock WavesREVIEW & SUMMARYQUESTIONSPROBLEMS18 Temperature, Heat, and the First Law of Thermodynamics18.1 TEMPERATURE* What Is Physics?* Temperature* The Zeroth Law of Thermodynamics* Measuring Temperatureo The Triple Point of Watero The Constant-Volume Gas Thermometer18.2 THE CELSIUS AND FAHRENHEIT SCALES* The Celsius and Fahrenheit Scales18.3 THERMAL EXPANSION* Thermal Expansiono Linear Expansiono Volume Expansion18.4 ABSORPTION OF HEAT* Temperature and Heat* The Absorption of Heat by Solids and Liquidso Heat Capacityo Specific Heato Molar Specific Heato An Important Pointo Heats of Transformation18.5 THE FIRST LAW OF THERMODYNAMICS* A Closer Look at Heat and Work* The First Law of Thermodynamics* Some Special Cases of the First Law of Thermodynamics18.6 HEAT TRANSFER MECHANISMS* Heat Transfer Mechanismso Conductiono Thermal Resistance to Conduction (R-Value)o Conduction Through a Composite Slabo Convectiono RadiationREVIEW & SUMMARYQUESTIONSPROBLEMS19 The Kinetic Theory of Gases19.1 AVOGADRO'S NUMBER* What Is Physics?* Avogadro's Number19.2 IDEAL GASES* Ideal Gaseso Work Done by an Ideal Gas at Constant Temperatureo Work Done at Constant Volume and at Constant Pressure19.3 PRESSURE, TEMPERATURE, AND RMS SPEED* Pressure, Temperature, and RMS Speed19.4 TRANSLATIONAL KINETIC ENERGY* Translational Kinetic Energy19.5 MEAN FREE PATH* Mean Free Path19.6 THE DISTRIBUTION OF MOLECULAR SPEEDS* The Distribution of Molecular Speedso Average, RMS, and Most Probable Speeds19.7 THE MOLAR SPECIFIC HEATS OF AN IDEAL GAS* The Molar Specific Heats of an Ideal Gaso Internal Energy Einto Molar Specific Heat at Constant Volumeo Molar Specific Heat at Constant Pressure19.8 DEGREES OF FREEDOM AND MOLAR SPECIFIC HEATS* Degrees of Freedom and Molar Specific Heats* A Hint of Quantum Theory19.9 THE ADIABATIC EXPANSION OF AN IDEAL GAS* The Adiabatic Expansion of an Ideal Gaso Proof of Eq. 19.9.1o Free ExpansionsREVIEW & SUMMARYQUESTIONSPROBLEMS20 Entropy and the Second Law of Thermodynamics20.1 ENTROPY* What Is Physics?* Irreversible Processes and Entropy* Change in Entropyo Entropy as a State Function* The Second Law of Thermodynamicso Force Due to Entropy20.2 ENTROPY IN THE REAL WORLD: ENGINES* Entropy in the Real World: Engineso A Carnot Engineo Efficiency of a Carnot Engineo Stirling Engine20.3 REFRIGERATORS AND REAL ENGINES* Entropy in the Real World: Refrigerators* The Efficiencies of Real Engines20.4 A STATISTICAL VIEW OF ENTROPY* A Statistical View of Entropyo Probability and EntropyREVIEW & SUMMARYQUESTIONSPROBLEMS21 Coulomb's Law21.1 COULOMB'S LAW* What Is Physics?* Electric Charge* Conductors and Insulatorso Blue Flashes from a Wintergreen Candy* Coulomb's Lawo Spherical Conductors21.2 CHARGE IS QUANTIZED* Charge Is Quantized21.3 CHARGE IS CONSERVED* Charge Is Conservedo PET ScansREVIEW & SUMMARYQUESTIONSPROBLEMS22 Electric Fields22.1 THE ELECTRIC FIELD* What Is Physics?* The Electric Field* Electric Field Lines22.2 THE ELECTRIC FIELD DUE TO A CHARGED PARTICLE* The Electric Field Due to a Point Charge22.3 THE ELECTRIC FIELD DUE TO A DIPOLE* The Electric Field Due to an Electric Dipole22.4 THE ELECTRIC FIELD DUE TO A LINE OF CHARGE* The Electric Field Due to a Line of Charge22.5 THE ELECTRIC FIELD DUE TO A CHARGED DISK* The Electric Field Due to a Charged Disk22.6 A POINT CHARGE IN AN ELECTRIC FIELD* A Point Charge in an Electric Fieldo Measuring the Elementary Chargeo Ink-Jet Printingo Electrical Breakdown and Sparking22.7 A DIPOLE IN AN ELECTRIC FIELD* A Dipole in an Electric Fieldo Potential Energy of an Electric Dipoleo Microwave CookingREVIEW & SUMMARYQUESTIONSPROBLEMS23 Gauss' Law23.1 ELECTRIC FLUX* What Is Physics?* Electric Flux23.2 GAUSS' LAW* Gauss' Law* Gauss' Law and Coulomb's Law23.3 A CHARGED ISOLATED CONDUCTOR* A Charged Isolated Conductoro An Isolated Conductor with a Cavityo The Conductor Removedo The External Electric Field23.4 APPLYING GAUSS' LAW: CYLINDRICAL SYMMETRY* Applying Gauss' Law: Cylindrical Symmetry23.5 APPLYING GAUSS' LAW: PLANAR SYMMETRY* Applying Gauss' Law: Planar Symmetryo Nonconducting Sheeto Two Conducting Plates23.6 APPLYING GAUSS' LAW: SPHERICAL SYMMETRY* Applying Gauss' Law: Spherical SymmetryREVIEW & SUMMARYQUESTIONSPROBLEMS24 Electric Potential24.1 ELECTRIC POTENTIAL* What Is Physics?* Electric Potential and Electric Potential Energy24.2 EQUIPOTENTIAL SURFACES AND THE ELECTRIC FIELD* Equipotential Surfaces* Calculating the Potential from the Field24.3 POTENTIAL DUE TO A CHARGED PARTICLE* Potential Due to a Charged Particle* Potential Due to a Group of Charged Particles24.4 POTENTIAL DUE TO AN ELECTRIC DIPOLE* Potential Due to an Electric Dipoleo Induced Dipole Moment24.5 POTENTIAL DUE TO A CONTINUOUS CHARGE DISTRIBUTION* Potential Due to a Continuous Charge Distributiono Line of Chargeo Charged Disk24.6 CALCULATING THE FIELD FROM THE POTENTIAL* Calculating the Field from the Potential24.7 ELECTRIC POTENTIAL ENERGY OF A SYSTEM OF CHARGED PARTICLES* Electric Potential Energy of a System of Charged Particles24.8 POTENTIAL OF A CHARGED ISOLATED CONDUCTOR* Potential of a Charged Isolated Conductoro Spark Discharge from a Charged Conductoro Isolated Conductor in an External Electric FieldREVIEW & SUMMARYQUESTIONSPROBLEMS25 Capacitance25.1 CAPACITANCE* What Is Physics?* Capacitanceo Charging a Capacitor25.2 CALCULATING THE CAPACITANCE* Calculating the Capacitanceo Calculating the Electric Fieldo Calculating the Potential Differenceo A Parallel-Plate Capacitoro A Cylindrical Capacitoro A Spherical Capacitoro An Isolated Sphere25.3 CAPACITORS IN PARALLEL AND IN SERIES* Capacitors in Parallel and in Serieso Capacitors in Parallelo Capacitors in Series25.4 ENERGY STORED IN AN ELECTRIC FIELD* Energy Stored in an Electric Fieldo Explosions in Airborne Dusto Energy Density25.5 CAPACITOR WITH A DIELECTRIC* Capacitor with a Dielectric* Dielectrics: An Atomic View25.6 DIELECTRICS AND GAUSS' LAW* Dielectrics and Gauss' LawREVIEW & SUMMARYQUESTIONSPROBLEMS26 Current and Resistance26.1 ELECTRIC CURRENT* What Is Physics?* Electric Currento The Directions of Currents26.2 CURRENT DENSITY* Current Densityo Drift Speed26.3 RESISTANCE AND RESISTIVITY* Resistance and Resistivityo Calculating Resistance from Resistivityo Variation with Temperature26.4 OHM'S LAW* Ohm's Law* A Microscopic View of Ohm's Law26.5 POWER, SEMICONDUCTORS, SUPERCONDUCTORS* Power in Electric Circuits* Semiconductors* SuperconductorsREVIEW & SUMMARYQUESTIONSPROBLEMS27 Circuits27.1 SINGLE-LOOP CIRCUITS* What Is Physics?* "Pumping" Charges* Work, Energy, and Emf* Calculating the Current in a Single-Loop Circuito Energy Methodo Potential Method* Other Single-Loop Circuitso Internal Resistanceo Resistances in Series* Potential Difference Between Two Pointso Potential Difference Across a Real Batteryo Grounding a Circuito Power, Potential, and Emf27.2 MULTILOOP CIRCUITS* Multiloop Circuitso Resistances in Parallel27.3 THE AMMETER AND THE VOLTMETER* The Ammeter and the Voltmeter27.4 RC CIRCUITS* RC Circuitso Charging a Capacitoro The Time Constanto Discharging a Capacitoro Derivation of Eq. 27.4.4REVIEW & SUMMARYQUESTIONSPROBLEMS28 Magnetic Fields28.1 MAGNETIC FIELDS AND THE DEFINITION OF* What Is Physics?* What Produces a Magnetic Field?* The Definition ofo Finding the Magnetic Force on a Particleo Magnetic Field Lines28.2 CROSSED FIELDS: DISCOVERY OF THE ELECTRON* Crossed Fields: Discovery of the Electron28.3 CROSSED FIELDS: THE HALL EFFECT* Crossed Fields: The Hall Effecto Magnetohydrodynamic Drive28.4 A CIRCULATING CHARGED PARTICLE* A Circulating Charged Particleo Helical Paths28.5 CYCLOTRONS AND SYNCHROTRONS* Cyclotrons and Synchrotronso The Proton Synchrotron28.6 MAGNETIC FORCE ON A CURRENT-CARRYING WIRE* Magnetic Force on a Current-Carrying Wire28.7 TORQUE ON A CURRENT LOOP* Torque on a Current Loop28.8 THE MAGNETIC DIPOLE MOMENT* The Magnetic Dipole MomentREVIEW & SUMMARYQUESTIONSPROBLEMS29 Magnetic Fields Due to Currents29.1 MAGNETIC FIELD DUE TO A CURRENT* What Is Physics?* Calculating the Magnetic Field Due to a Currento Magnetic Field Due to a Current in a Long Straight Wireo Proof of Equation 29.1.4o Magnetic Field Due to a Current in a Circular Arc of Wire29.2 FORCE BETWEEN TWO PARALLEL CURRENTS* Force Between Two Parallel Currentso Rail Gun29.3 AMPERE'S LAW* Ampere's Lawo Magnetic Field Outside a Long Straight Wire with Currento Magnetic Field Inside a Long Straight Wire with Current29.4 SOLENOIDS AND TOROIDS* Solenoids and Toroidso Magnetic Field of a Solenoido Magnetic Field of a Toroid29.5 A CURRENT-CARRYING COIL AS A MAGNETIC DIPOLE* A Current-Carrying Coil as a Magnetic Dipoleo Magnetic Field of a Coilo Proof of Equation 29.5.2REVIEW & SUMMARYQUESTIONSPROBLEMS30 Induction and Inductance30.1 FARADAY'S LAW AND LENZ'S LAW* What Is Physics?* Two Experiments* Faraday's Law of Inductiono A Quantitative Treatment* Lenz's Lawo Electric Guitars30.2 INDUCTION AND ENERGY TRANSFERS* Induction and Energy Transferso Burns During MRI Scanso Eddy Currentso Induction Furnaces30.3 INDUCED ELECTRIC FIELDS* Induced Electric Fieldso A Reformulation of Faraday's Lawo A New Look at Electric Potential30.4 INDUCTORS AND IND

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