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10 電磁 III How is an aurora so thin yet so tall and wide?

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Presentation on theme: "10 電磁 III How is an aurora so thin yet so tall and wide?"— Presentation transcript:

1

2 10 電磁 III How is an aurora so thin yet so tall and wide?

3 Sections  磁場  電流與磁場

4 10-1 磁場  The electric field and the magnetic field  Electromagnet s and permanent magnets

5 10-1.1 The definition of B

6 The tracks in a bubble chamber

7 The SI unit for B 1 tesla = 1T =1 N/A ‧ m=10 4 gauss

8 Magnetic Field Lines Magnetic vs. electric dipoles A horseshoe and a C-shaped magnets

9 例 1 A 5.3 MeV proton

10 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

11 Calculation

12 10-1.3 Crossed Fields: The Hall Effect By the conduction electrons in copper:

13 例 2 A cube generator

14 10-1.4 A Circulating Charged Particle

15 The frequency and angular frequency Helical Paths 頻率與軌跡

16 極光橢圓圈

17 例 3 The Mass Spectrometer ( 質譜 儀 )

18 Isotope Separation Centrifuge and diffusion chamber 質譜儀

19 The pitch ( 螺距 ) of the helical path

20 10-1.5 Cyclotrons and Synchrotrons Fermilab: 6.3km ring ( 迴旋加速器與同步加速器 )

21 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

22 10-1.6 Magnetic Force on a Current-Carrying Wire

23 For a wire segment: Magnetic Force

24 例 4 A length of wire with a semicircular arc

25 Calculation

26 線圈

27 10-1.7 Torque on A Current Loop F 2 and F 4 cancel F 1 and F 3 form a force couple

28 例 5 A galvanometer for analog meters

29 10-1.8 The Magnetic Dipole The magnetic dipole moments The magnetic potential energy

30 磁能

31 10-2 Magnetic Fields due to Currents Conventional rocket EM Rail Gun

32 10-2.1 Calculating the Magnetic Field due to a current The law of Biot and Savart

33 Magnetic Field Due to a Current in a Long Straight Wire

34 Integration

35 Magnetic Field Due to a Current in a Circular Arc of Wire

36 例 6 What B does the current produce?

37 10-2.2 Two Parallel Currents

38 例 7 The Field Between Two wires

39 10-2.3 Ampere’s Law Comparing Gauss ’ law and Ampere’s law Ampere’s law

40 The Magnetic Field Outside a Long Straight Wire with Current

41 The Magnetic Field Inside a Long Straight Wire with Current

42 例 7 A hollow conducting cylinder

43 10-2.4 Solenoids and Toroids Magnetic Field of a Solenoid ( 螺線管 ) Magnetic Field of a Toroid ( 螺線環 )

44 Magnetic Field of a Solenoid

45 Magnetic Field of a Toroid

46 磁圍阻核融合反應器 Tokamak Fusion Test Reactor

47 10-2.5 A Current Carrying Coil and a Magnetic Dipole A current loop and a bar magnet

48 Magnetic Field of a Coil

49 敬請期待 電磁 IV


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