Lecture_23_(Chap.23) - Question Two metal rings lie...

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Question Two metal rings lie side-by-side on a table. Current in the left ring runs counterclockwise and is increasing with time. This induces a current in the right ring. This current runs ) lockwise A) Clockwise B) Counterclockwise hen viewed from above when viewed from above 1
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Inductance Constant voltage – constant I , no curly electric field. Increase voltage: dB/dt is not zero emf d NI B 0 For long solenoid: h t t t I/dt Change current at rate dI/dt : 2 0 R NI d d emf mag dI N 2 0 (one loop) 1 d dt dt f dt R d (p ) dI R N emf 2 2 0 dt d f emf bat R emf coil 2
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Inductance emf at R emf il E NC bat coil t dI R N emf 2 2 0 E C dt d Increasing I increasing B I dt d emf mag dt dI L emf ind 2 2 0 R d N L emf bat R f d L – inductance, or self-inductance Unit: Henry = Volt . second/Ampere emf ind I r emf V sol ind sol Increasing the current causes E NC to oppose this increase. 3
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Inductance: Decrease Current E NC E C emf bat R emf ind L dt d emf mag t dI L emf ind dt Conclusion: Inductance resists changes in current g Orientation of emf ind depends on sign of dI/dt 4
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Magnetic Field Energy Density 2 0 2 1 E Volume energy Electric there energy stored in magnetic field? LI 2 Is there energy stored in magnetic field? dI f 2 2 2 0 1 Bd N nergy ) ( ) ( dt L I emf I V I P f I IdI L Pdt Energy 0 2 N R d Energy B 2 1 i I 2 2 1 1 LI LI Energy f I d R Energy 2 0 2 1 1 2 2 i I 2 2 0 R N L NI B V B Energy 2 0 2 2 1 1 energy Magnetic d d 0 0 2 B Volume 5
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Field Energy Density 2 0 2 1 E Volume energy Electric 2 0 1 2 1 B Volume energy Magnetic nergy Electric and magnetic field energy density: 2 0 2 0 1 2 1 2 1 B E Volume Energy 6
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Current in RL Circuit 0
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This note was uploaded on 04/23/2011 for the course PHYS 272h taught by Professor Staff during the Spring '08 term at Purdue University-West Lafayette.

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Lecture_23_(Chap.23) - Question Two metal rings lie...

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