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7 磁場 How is an aurora so thin yet so tall and wide?
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The magnetic field The electric field and the magnetic field Electromagnet s and permanent magnets
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7-1 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 10 8 T 1.5 T 10 -2 T 10 -4 T 10 -10 T 10 -14 T
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Magnetic Field Lines Magnetic vs. electric dipoles
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A horseshoe and a C- shaped magnets
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例 1 A 5.3 MeV proton B = 1.2 mT
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7-2 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 the charge-to-mass ratio of the electron 1.7588196 10 11 C · kg - 1
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7-3 Crossed Fields: The Hall Effect By the conduction electrons in copper:
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例 2 A cube generator d = 1.5 cm, v = 4.0m/s, B = 0.05T
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7-4 A Circulating Charged Particle
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The frequency and angular frequency 頻率與軌跡 The magnetic bottle machine
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Helical Paths The pitch ( 螺距 ) of the helical path V ∥ and V ⊥
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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 x = 1.6254m, V = 1000.0V, B = 80.000mT
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7-5 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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CERN LHC The LHC is 27km long and sits 100m below the surface.
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7-6 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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7-7 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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7-8 The Magnetic Dipole The magnetic dipole moments The magnetic potential energy
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磁能
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敬請期待 電磁 IV
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