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9 電磁感應 How did the electric guitar revolutionize rock? From acoustic to electric guitars
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9-1 Two symmetric Situations l current loop + magnetic field → torque l torque + magnetic field → current
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9-2 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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9-3 Faraday’s Law of Induction l An emf is induced when the number of magnetic field lines that pass through the loop is changing. – A Quantitative Treatment – The magnetic flux Electromotive force
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Faraday’s law emf magnetic flux induced emf induced electric field
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例 1 A solenoid contains a coil l i =1.5 A n s = 2.2×10 4 turns / m l A = 3.46 × 10 -4 m 2 N c = 130 turns l 電流在 25ms 內穩定降至 0
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計算 l i =1.5 A n = 2.2×10 4 turns / m l A = 3.46 × 10 -4 m 2 N = 130 turns l 電流在 25ms 內穩定降至 0 e
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感應電流所生的磁場與感應出該電流的磁場反向 9-4 Lenz’s Law l Opposition to pole Movement l Opposition to flux change l Electric Guitars
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例 2 B = 4.0 t 2 +2.0 t + 3.0 Ebat = 2.0V r = 0.20m R = 2.0Ω increasing clockwise e
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例 3 B = 4 t 2 x 2 W = 3.0m H = 2.0m t = 0.1s increasing counterclockwise e
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9-5 Induction and Energy Transfers The work done by the applied force and the thermal energy produced in the wire. e e
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The Power
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Eddy currents – induction stoves and EM braking
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Eddy currents –EM braking
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Eddy currents – transformers
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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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9-6 Inductors and Inductance
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Inductance of a solenoid:
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Inductance of a toroid
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9-7 Self-Induction An induced emf appears in any coil in which the current is changing.
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9-8 Mutual Induction
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Two circular close-packed coils
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