electromagnetism

electromagnetism - Electromagnetism Lecture 07: Inductance...

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Electromagnetism Lecture 07: Inductance and LR Circuits (Knight: 33.8-33.10) x x x x x x x x x x x x x x x x x x v F B q →→→→→ →→→→→ v F B q × ↑↑↑↑↑↑↑↑ ↑↑↑↑↑↑↑↑ v F = 0 B q B v q E q F × + =
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Physics 113 Dr. Renat Letfullin 2 Announcement: Test # 2 will be on Friday, April 6 th . Chapters: 33, 35
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Physics 113 Dr. Renat Letfullin 3 Energy in Inductors and Magnetic Fields The LR Circuits The LC Circuits Today. . .
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Physics 113 Dr. Renat Letfullin 4 Energy in Inductors and Magnetic Fields A magnetic field stores considerable energy. Therefore, an inductor, which operates by creating a magnetic field, stores energy. Let’s consider how much energy U L is stored in an inductor L carrying current I: dI dI P I V I L LI dt dt = ∆ = - = - 1 2 2 0 I L U L IdI LI = = A solenoid of length l , area A, and N turns has L = μ 0 N 2 A/ l , so: 2 2 1 2 2 0 0 2 0 2 0 1 2 2 1 2 L N A NI U LI I Al l l AlB μ = = = = 2 0 1 2 L B U u B Al = = 1 2 2 L U LI = 2 0 1 2 B u B =
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Physics 113 Dr. Renat Letfullin 5 The LR Circuit P 1 P 2 Pump Constriction Valve P 3 Flywheel
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Physics 113 Dr. Renat Letfullin 6 LR circuits: Early and Late Initially, when a switch closes an inductor appears to have an infinite resistance and has a maximum potential drop across it. Ultimately, the inductor reaches a steady current flow and there is no potential drop across it. Therefore, at t=0 the inductor behaves like at open circuit (R= ), and at t= the inductor behaves like a short circuit (R=0).
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electromagnetism - Electromagnetism Lecture 07: Inductance...

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