University physics

CHAPTER13 Electrostatic Field/003
13.1 Coulomb's Law /003
13.1.1 Electric charge /003
13.1.2 Coulomb'slaw in its vector form /004
13.1.3 Superposition principle of forces/005
13.2 Electric Field and Field Superposition /006
13.2.1 Definition of electrostatic field /006
13.2.2 Electric field of point-charge /007
13.2.3 Field superposition /008
13.3 Electric Flux and Gauss's Law /013
13.3.1 Electric flux /014
13.3.2 Gauss'slaw/016
13.3.3 Applications of Gauss'slaw /017
13.4 Work of Electrostatic Force and Electric Potential /022
13.4.1 Work of electrostatic forces/022
13.4.2 Electric potential energy and electric potential /023
13.4.3 Loop theorem of electrostatic fields/024
13.5 Calculation of Electric Potential /024
13.5.1 Superposition principle of the potential /024
13.5.2 Potential due to point charges /025
13.5.3 Calculating the potential from the field /027
13.6 Calculation of Electric Field from Electric Potential /028
13.6.1 Differential relation between field and potential /029
13.6.2 Calculating the field from the potential /029
Exercises /031

CHAPTER14 Electrostatic Induction and Polarization/036
14.1 Conductors and Electric Fields in Static Equilibrium /036
14.1.1 Electrostatic induction and equilibrium /036
14.1.2 Notable properties in electrostatic equilibrium /037
14.1.3 Calculation of electric field when conductor exists/039
14.2 Capacitors and Capacitance/042
14.2.1 Isolated spherical conductor and its capacitance/042
14.2.2 Parallel-plate capacitor and its capacitance/042
14.2.3 Calculation of capacitance/044
14.3 Capacitors in Parallel and in Series/045
14.3.1 Capacitors in parallel /046
14.3.2 Capacitors in series/046
14.3.3 Breakdown of capacitors/047
14, 4 Steady Current in Conductors/049
14.4.1 Electric current and current density /049
14.4.2 Differential form of Ohm'slaw/051
14.5 Insulators and Electric Field in Static Polarization /053
14.5.1 Forces on an electric dipole by an electric field /053
14.5.2 Dielectric polarization, microscopic and macroscopic views/054
14.5.3 Polarization intensity /055
14.5.4 Gauss's taw in dielectrics/056
14.5.5 Applications of Gauss'slaw in dielectrics/060
14.6 Energy in Electric Field /063
14.6.1 Electric energy stored in a charged capacitor/063
14.6.2 Electric energy stored in an electric field ./064
Exercises/066

CHAPTER15 Magnetostatic Field/071
15.1 Magnetic Fields and Integral Calculations /071
15.1. I Magnets, magnetic poles, and magnetic forces/071
15.1.2 Magnetic fields/072
15.1.3 Calculations of magnetic fields by integrations/074
15.1.4 Magnetic dipole, a useful physical model /081
15.2 Magnetic Flux and Gauss's Law /085
15.2.1 Magnetic flux /085
15.2.2 Gauss's law for magnetism /087
15.3 Ampere's Law and Applications to Calculating Magnetic Fields /087
15.3.1 Ampere'slaw/087
15.3.2 Applications of Ampere's law to calculate magnetic fields in symmetry/089
15.4 Magnetic Forces and Torques/093
15.4.1 Lorentz force/093
15.4.2 Ampere force/095
15.4.3 Torque on a current loop in a uniform magnetic field /098
15.4.4 Work done by magnetic forces and torques/099
15.5 Some Applications of Electric and Magnetic Fields/100
15.51 Definition of the unit Ampere/100
15.5 2 CRT monitors/101
15.5 3 DC and AC motors/102
15.5 4 Mass spectrometer/102
15.5 5 The cyclotron/104
15.5 6 Magnetic levitation106
15.5.7 The Hall effect/106
15.5.8 The magnetic mirror or bottle and northern polar light /107
Exercises /108

CHAPTER16 Magnetization and Magnetism in Matter/114
16.1 Materials in Magnetic Field and Magnetization /114
16.1.1 Atomic mechanism of magnetism /114
16.1.2 Materials and magnetization /115
16.2 Magnetization Density and Magnetic Field in Matter/121
16.2.1 Magnetization density /121
16.2.2 Magnetic field in matter/122
16.2.3 Ampere'slawin matter/123
16.2.4 Again the magnetic field in matter/124
16.3 Ferromagnetism /126
16.3.1 Initial magnetization /126
16.3.2 Hysteresis loop /127
16.3.3 Hysterisis loss and ferromagnetic substances/128
16.4 Applications of Magnetism /130
16.4.1 Permanent magnets and electromagnets/130
16.4.2 Magnetic resonance imaging (MRI) /131
Exercises /133

CHAPTER17 Electromagnetic Induction and Waves/137
17.1 Faraday's Law of Induction and Lentz's Law /137
17.1.1 Nonelectrostatic field and emf/138
17.t.2 Faraday's induction law and Lentz's law /138
17.1.3 Sign conventions for emf calculations /139
17.1,4 Charges flowing and work done/140
17.2 Two Kinds of Emfs —— Motional Emf and Induced Emf/140
17.2,1 Motion-generated emfs/141
17.2,2 Changing-field-generatedemfs/145
17.2,3 Electric generator /147
17.2.4 Eddy current and magnetic damping and driving /148
17.3 Induced Electric Field /150
17.3,1 Induced vortex electric field /150
17.3,2 Emfcalculation by induced vortex electric field /152
17.3.3 Electromagnetic heating /155
17,3.4 The betatron /156
17.4 Self-inductance and Mutual-inductance/159
17.4.1 Self-inductor and self-inductance /160
17.4.2 LR circuits/163
17.4.3 Mutual inductor and mutual inductance /164
17.4.4 Inductance in parallel and in series/169
17. 5 Magnetic Energy Stored in Field Space/170
1716 Maxweil's Two Hypotheses and Equations /174
171611 Displacement current and the generalized Ampere'slaw /174
171612 Maxwell's equations of electromagnetism /177
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