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11 電磁 IV How did the electric guitar revolutionize rock?
From acoustic to electric guitars
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Sections 電磁感應 物質的磁性 麥斯威爾方程式 電磁波 Lasers and X-rays
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11-1.1 Two symmetric Situations
current loop + magnetic field → torque torque + magnetic field → current
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Two Experiments First Experiment A Magnet is moving with respect to the loop.
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Second Experiment The switch S is closed or opend.
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11-1.3 Faraday’s Law of Induction
An emf is induced when the number of magnetic field lines that pass through the loop is changing. – A Quantitative Treatment – The magnetic flux
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Faraday’s law
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例1 A solenoid contains a coil
i =1.5 A n = 2.2×104 turns / m A = 3.46 ×10-4m2 N = 130 turns 電流在25ms內穩定降至0
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計算 i =1.5 A n = 2.2×104 turns / m A = 3.46 ×10-4m2 N = 130 turns
電流在25ms內穩定降至0
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11-1.4 Lenz’s Law Opposition to pole Movement
感應電流所生的磁場與感應出該電流的磁場反向 Opposition to pole Movement Opposition to flux change Electric Guitars
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例2 B = 4.0 t t + 3.0 Ebat = 2.0V r = 0.20m
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例3 B = 4 t2 x2 W = 3.0m H = 2.0m t = 0.1s
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11-1.5 Induction and Energy Transfers
The work done by the applied force and the thermal energy produced in the wire.
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The Power
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Eddy currents – induction stoves and EM braking
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Eddy currents – transformers
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Eddy currents –EM braking
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Eddy currents – metal detectors
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The microphone
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The tape recorder
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Speaker
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Voice-coil positioner of a HDD
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Magnetism of Matter How can a clay-walled kiln reveal Earth’s magnetic field of the past? 磁鐵礦(0.3μm)和赤鐵礦(1mm)
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11-2.2 The Magnetic field of the Earth
The earth’s dipole field The mid-atlantic ridge
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11-2.3 Magnetic Materials Diamagnetism (逆磁性) Paramagnetism (順磁性)
Ferromagnetism (鐵磁性)
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Diamagnetism 逆磁性材料產生之磁矩與外磁場逆向,如外磁場非均勻,其將受到由強磁場區到弱磁場區之斥力。
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11-2.5 Paramagnetism 順磁性材料產生之磁矩與外磁場順向,如外磁場非均勻,其將受到由弱磁場區到強磁場區之吸力。
液態氧被吸在兩個磁極之間
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Ferromagnetism 鎳的磁域(magnetic domain)
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Hysteresis (磁滯)
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Maxwell’s Equations
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線積分與面積分 (安培迴路和高斯面) 磁場環流量 (安培定律) 電場通量 電場環流量 磁場通量 法拉第定律
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11-3.3 Magnets and magnetic flux (磁鐵和磁通量)
Magnetic dipole: north/south pole
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11-3.4 Gauss’ Law for Magnetic Fields
The net magnetic flux thru any closed Gaussian surface is zero.
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11-3.5 Gauss’ Law for electric Fields
Flux enclosed charge
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11-3.6 Induced Magnetic Fields
3 ways to produce a magnetic field: by an electric current, by a magnetic material, and by induction.
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Ampere-Maxwell Law
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11-3.8 Displacement Current
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Maxwell’s Equations
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11-4.1 Electromagnetic Waves
The oscillating E and B Fields A Most Curious Wave –The ether (以太)
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11-4.2 Characteristics Light Electromagnetic Waves
Hertz (赫茲)– Radio Waves The Electromagnetic Spectrum The Relative Sensitivity of Human eyes 430nm – 690nm
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Maxwell’s Rainbow
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Comets What shapes the curved dust tail of a comet?
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光壓
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11-4.5 Polarization (偏振) Polarized Light The Plane of Polarization
Linear, Circular and Elliptical polarization
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偏振片 1932 polaroid Edwin Land
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Polarization of Light
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偏振與太陽眼鏡
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Liquid Crystal - I
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Liquid Crystal - II
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Liquid Crystal - III
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LCD –Liquid Crystal Display
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11-4.7 Reflection and Refraction (反射與折射)
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折射率
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11-4.8 Chromatic Dispersion – prisms and gratings
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Rainbows
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Diffraction – (繞射)
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狹縫繞射
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圓孔繞射 Central maximu and 1st minimum
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The Fresnel Bright Spot (1819)
Newton Poisson Fresnel
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雙狹縫干涉之強度
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單狹縫繞射之強度
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雙狹縫與單狹縫 Double-slit diffraction (with interference)
Single-slit diffraction
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X-ray Diffraction
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Bragg’s Law
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Theory of Lasers Metastable states: 10-3 s vs 10-8 s
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He-Ne Lasers He: 20.61eV neon:20.66 eV / eV 1.96eV →633nm
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Applications of Lasers
Barcode scanning, CO2 laser welding and retina surgery
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Compact Disc 2t is ½ of a wavelength, Grating used in tracking, pit 0.1 μm
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Theory of X-ray
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X光繞射與電子繞射
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Medical X-rays: CAT
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2D and 3D X-ray Images
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再見!
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