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10 電磁 III How is an aurora so thin yet so tall and wide?
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Sections 磁場 電流與磁場
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10-1 磁場 The electric field and the magnetic field Electromagnet s and permanent magnets
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10-1.1 The definition of B
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The tracks in a bubble chamber
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The SI unit for B 1 tesla = 1T =1 N/A ‧ m=10 4 gauss
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Magnetic Field Lines Magnetic vs. electric dipoles A horseshoe and a C-shaped magnets
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例 1 A 5.3 MeV proton
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10-1.2 Crossed Fields: Discovery of the Electron A cathode ray tube Thomson’s procedure: 設定 E = 0, B = 0, 並記錄光點位 置 開啟電場 開啟磁場, 並調至與電場相等
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Calculation
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10-1.3 Crossed Fields: The Hall Effect By the conduction electrons in copper:
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例 2 A cube generator
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10-1.4 A Circulating Charged Particle
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The frequency and angular frequency Helical Paths 頻率與軌跡
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極光橢圓圈
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例 3 The Mass Spectrometer ( 質譜 儀 )
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Isotope Separation Centrifuge and diffusion chamber 質譜儀
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The pitch ( 螺距 ) of the helical path
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10-1.5 Cyclotrons and Synchrotrons Fermilab: 6.3km ring ( 迴旋加速器與同步加速器 )
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The resonance condition: When proton energy > 50Mev: Out of resonance (relativistic effect) A huge magnet (4×10 6 m 2 ) is needed for high energy (500Gev) protons The proton sychrotron at Fermilab can produces 1Tev proton Synchrotrons
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10-1.6 Magnetic Force on a Current-Carrying Wire
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For a wire segment: Magnetic Force
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例 4 A length of wire with a semicircular arc
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Calculation
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線圈
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10-1.7 Torque on A Current Loop F 2 and F 4 cancel F 1 and F 3 form a force couple
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例 5 A galvanometer for analog meters
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10-1.8 The Magnetic Dipole The magnetic dipole moments The magnetic potential energy
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磁能
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10-2 Magnetic Fields due to Currents Conventional rocket EM Rail Gun
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10-2.1 Calculating the Magnetic Field due to a current The law of Biot and Savart
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Magnetic Field Due to a Current in a Long Straight Wire
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Integration
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Magnetic Field Due to a Current in a Circular Arc of Wire
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例 6 What B does the current produce?
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10-2.2 Two Parallel Currents
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例 7 The Field Between Two wires
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10-2.3 Ampere’s Law Comparing Gauss ’ law and Ampere’s law Ampere’s law
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The Magnetic Field Outside a Long Straight Wire with Current
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The Magnetic Field Inside a Long Straight Wire with Current
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例 7 A hollow conducting cylinder
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10-2.4 Solenoids and Toroids Magnetic Field of a Solenoid ( 螺線管 ) Magnetic Field of a Toroid ( 螺線環 )
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Magnetic Field of a Solenoid
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Magnetic Field of a Toroid
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磁圍阻核融合反應器 Tokamak Fusion Test Reactor
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10-2.5 A Current Carrying Coil and a Magnetic Dipole A current loop and a bar magnet
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Magnetic Field of a Coil
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敬請期待 電磁 IV
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