Module 21: Faraday’s Law of Induction 1 Table of Contents 10.1 Faraday’s Law o f Induction ................................................. .................................. 10-2 10.1.1 Magnetic Flux ........................................................................................... 10-3 10.1.2 Lenz’s Law................................................................................................ 10-5 10.2 Motional EMF .................................................................................................. 10-7 10.3 Induced Ele ctric Field .................................................................................... 10-10 10.4 Generators ...................................................................................................... 10-12 10.5 Eddy Currents................. ................................................................................ 10-13 10.6 Summary ........................................................................................................ 10-15 10.7 Appendix: Induced Emf and Reference Frames............................................. 10-15 10.8 Problem-Solving Tips: Farada y’s Law and Lenz’s Law................................ 10-16 10.9 Solved Problems............................................................................................. 10-17 10.9.1 Rectangular Loop Near a Wire ............................................................... 10-17 10.9.2 Loop Changing Area........................ ....................................................... 10-18 10.9.3 Sliding Rod ............................................................................................. 10-19 10.9.4 Moving Bar ............................................................................................. 10-21 10.9.5 Time-Varying Magnetic Field ................................................................ 10-22 10.9.6 Moving Loop .......................................................................................... 10-23 10.10Conceptual Questions..................................................................................... 10-24 10.11 Additional Problems ....................................................................................... 10-25 10.11.1 Sliding Bar .............................................................................................. 10-25 10.11.2 Sliding Bar on Wedges ........................................................................... 10-26 10.11.3 RC Circuit in a Magnetic Field............................................................... 10-26 10.11.4 Sliding Bar .............................................................................................. 10-27 10.11.5 Rotating Bar............................................................................................ 10-27 10.11.6 Rectangular Lo op Moving Through Magnetic Field .............................. 10-28 10.11.7 Magnet Moving Through a Coil of Wire... ............................................. 10-28 10.11.8 Alternating-Current Generator.................... ............................................ 10-29 10.11.9 EMF Due to a Time-Varying Magnetic Field........................................ . 10-30 10.11.10 Square Loop Moving Through Magnetic Field ............................... 10-30 10.11.11 Falling Loop ..................................................................................... 10-31 These notes are excerpted “Introduction to Electricity and Magnetism” by Sen-Ben Liao, Peter Dourmashkin, and John Belcher, Copyright 2004, ISBN 0-536-81207-1. 10-1 1
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