# Lect17 - emf E d d B dt \$"& F& qv B& emf E d d...

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Unformatted text preview: emf E d d B dt ! \$ " # % & F ' ( & qv B ) + ' & emf E d d B dt B B dA ! , & \$ - . / * + 1 #1 . B emf E d d B dt B B dA + B A ( ' B 2 & 0 + 1 #1 . B emf E d d B dt B B dA + B A 3 + 1 #1 . B emf E d d B dt B B dA + B A 4 + 1 #1 . B emf E d d B dt B B dA + B A + In Practical Words: #1 . B emf E d d B dt B B dA B A 5 + 1 #1 . B emf E d d B dt B B dA + B A 6 + 1 #1 . #( B emf E d d B dt B B dA + ' " ' & #. 7 A copper loop is placed in a uniform magnetic field as shown. You are looking from the right. 8 ' Suppose the loop is moving to the right. The current induced in the loop is: A. zero B. clockwise C. counterclockwise < )>;?7 / ( ; = /%: 9 :( ; - A copper loop is placed in a uniform magnetic field as shown. You are looking from the right. 8 ' & ' > > > > > > > > > > > > > > > > Now suppose the that loop is stationary and that the magnetic field is 8 ' & decreasing in time. The current induced in the loop is: A. zero B. clockwise C. counterclockwise > > > > > > > > > > > > > > > > > > > > > > > > < ( @ :1 / A / % + ( ; ' = /%: \$ 8 ' ; ; ) (@ 9 /1 \$ \$ = / % :\$ Now suppose that the loop is spun around a vertical axis as shown, and that it makes one complete revolution every second. 8 ' The current induced in the loop: A. Is zero B. Changes direction once per second C. Changes direction twice per second 8 & B "; ; - ? > ) ; C C "; ; - #? 7 : > # - : - * + 1 #1 #( *# ( ' B emf E d d B dt B B dA + . " ' & . #. 0 + 1 #1 #( *# ( 0# ( ." ' B emf E d d B dt B B dA + . " ' , # & . #. B dB/dt 3 + 1 #1 #( *# ( 0# ( ." ' B emf E d d B dt B B dA + . " ' , # & . #. B dB/dt 4 + emf E d d B dt B B dA / ) + ! A horizontal copper ring is dropped from rest directly above the north pole of a permanent magnet 8 ' > ; ; " # Will the acceleration a of the falling ring in the presence of the magnet be any different than it would have been under the influence of just gravity (i.e. g)? A. a > g B. a = g C. a < g : ' D D ( 8 ; ' ") \$ # 5 A horizontal copper ring is dropped from rest directly above the north pole of a permanent magnet 8 ' @ :1 ( 1 :% H ' ; " # Will the acceleration a of the falling ring in the presence of the magnet be any different than it would have been under the influence of just gravity (i.e. g)? A. a > g B. a = g C. a < g ; >; D D G ( 8 ; ' < E F ") , ) \$ # # " 6 8 ) ?% )7 I !, 1 J " ? # .. ?7 ; )7 ? ?& ; & x x x x x x x x x x x x x x x x x x x x x x x x x x x x x y 8 ! ! : ; & & ! ! ! 7 8 ) ?% )7 I !, " ? # .. ?7 ; )7 emf ?& y d B dt ? ; & x x x x x x x x x x x x x x x x x x x x x x x x x x x x x 1 2 "- # ? ; &)7 y J ";# ? K ; )7 "8 # ? K ;&)7 "L # ? ; )7 "/ # ? ;&)7 )7 ; x x x x x x x & x x x x x x x x x x x x x x x x x x x x x x 8 ? ; ? ; - ? ; )7 ( ) & )7 & - ? )7 d B dt Bavo 8 ) ?% )7 I !, " ? # .. ?7 ; )7 emf ?& y ? d B dt ; & x x x x x x x x x x x x x x x x x x x x x x x x x x x x x 1 "- # ' 2 ";# ' J "8 # )7 ; & x x x x x x x x x x x x x x x x x x x x x x x x x x x x x y 8 ) ?% )7 I !, " ? # .. ?7 ; )7 emf ?& y ? d B dt ; & x x x x x x x x x x x x x x x x x x x x x x x x x x x x x 1 "- # I 2 ";# M "8 # I J "L # M + y F IL B & ; x x x x x x x )7 x x x x x x x x & ! " . # * 8 ) ?% )7 I !, " ? # .. ?7 ; )7 emf ?& y ? d B dt ; & x x x x x x x x x x x x x x x x x x x x x x x x x x x x x 1 "- # F 2 4aBvo R ";# F a 2 Bvo R J "8 # F 2 a 2 B 2vo / R F IL B "L # F = ; )7 a 2 B 2vo / R F y IL B F ILB since L B & ; F x x x x x x x )7 x x x x x x x I R Bavo R F Bavo aB R B 2 a 2vo R ILB x 0 MG ? !, 1 J ) # .. ?7 ; " ? & ) ?% )7 I & y ? = ; )7 )7 ; x x x x x x x x x x x x x x x x x x x x x x x x x x x x x 1 "- # > ' &) ) & ) ";# & ) J L# "/ # > ; x x x x x x x )7 x x x x x x x "8 # > ) 3 ( & - 1 J MG ? !, 1 J ) # .. ?7 ; " ? & ) ?% )7 I & y )7 ; x x x x x x x x x x x x x x x x x x x x x x x x x x x x = ; )7 x 1 "- # F a 2 B 2v / R ) "Ldv m # dt & 1 ! F ) "L # a 2 B 2v R J "- #J \$ m dv dt v vo e t a2B2 mR 8 + ' 8 +( N .8 ' ) JJ 4 ...
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