Lect12 - FB qv B ! # " 07 ! " %...

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Unformatted text preview: FB qv B ! # " 07 ! " % " " & " ' ( % % % % 12 $ * + &! , . FB dB qv B I ds r ^ 2 4 r 0 / 0 , 14 ) 2 "" 4 4 4 , " & 3 ! ! " ! " ! 5 5 ! ! & ! ! 6 ! 3 " 4 4 0 " + .! & ! 0 ! " + , 16 1 2 3 .8 2 y 9 x 2 FB qv B F qv B z 17 7 <! 8 " ! ;8 " " ! ; 1) A positively charged particle is located at point A and is stationary. The direction of the magnetic force on the particle is: A B C D E 8 8 18 ! = / " ; ; : <! 8 " ! ;8 " " ! ; A B C D E 1) A positively charged particle is located at point A and is stationary. The direction of the magnetic force on the particle is: qv X B 21 > F " " @ +( " 0& (2 D& ! "" , # (A D 3(3 , 0 y qv B B( C x B 24 n ee scr z ? B field cannot change kinetic energy of a charge. FB dWB qv B FB dr FB v FB v FB v dt 0 Kinetic energy is constant No work done by B field v But is constant v can change ! 4 F qv B F qvB " " v v constant 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 x x x x x x x x Centripetal acceleration: a v R 2 x x x - " 2. x x A " - qvB 30 v2 m R R mv qB R mv qB p qB 9 : <! 8 " , ! ! , ! " " A , , , " ! , ;B " ;+ , ; B C D qv B 34 . $ <! 8 " , ! ! , ! " " " , ; , , , ! , ;B " ;+ A B C . 2 E2 R 36 mv qB B1 B2 ) + ! " ! @ 4 4 4 " " & " B - &FG exits here , ; + # - B &F < , ; XXXXXXXXX X X X X X X X X X &F XXXXXXXXX d XXXXXXXXX enters here B B " A " + !! " / " 0 & " ! ! " 1 + ! " ! @ " " & " B - &FG exits here , ; + # - B &F < , ; XXXXXXXXX X X X X X X X X X &F XXXXXXXXX d XXXXXXXXX enters here B B @ vo 2E m '+ ( F ! " ! vo 2ad vo 2qE md '3 ( vo " qEd m 'B( # 2qEd vo m ' ( ' ( @ ## 4 % .B . B "B H A H -I H -B H JB H K F 2 vo 1 mv 2 o 2 qEd vo 2qEd m vo 2qEd m 4 , = H G F H , H -BG -BG 2 qE d m 7 + ! " ! @ " " & " B - &FG exits here , ; + # vo 2qEd m B &F < , ; XXXXXXXXX X X X X X X X X X &F XXXXXXXXX d XXXXXXXXX enters here B B @ ! " ! XXXXXXXXX XXXXXXXXX XXXXXXXXX ' ( XXXXXXXXX " XXXXXXXXX XXXXXXXXX XXXXXXXXX ' ( XXXXXXXXX # XXXXXXXXX XXXXXXXXX XXXXXXXXX '+ ( X X X X X X X X X @ ## 4 ! ! , L ! ! " : + ! " ! @ " " & " B - &FG exits here , ; + # vo 2qEd m B &F < , ; XXXXXXXXX X X X X X X X X X &F XXXXXXXXX d XXXXXXXXX enters here B B @ "! "! # R xo '+ ( R 2 xo ' ( R 1 xo 2 ' ( R mvo qB '3 ( R 2 vo a 'B( @ ## R xo/2 XXXXXXXXX XXXXXXXXX XXXXXXXXX XXXXXXXXX > + ! " ! @ " " & " B - &FG exits here , ; + # vo 2qEd m B &F < , ; R 1x 2 0 m E 2qEd XXXXXXXXX X X X X X X X X X &F XXXXXXXXX d XXXXXXXXX enters here B B B 2 xo 2mEd q B E v B B 1 xo 2mEd q B mvo qxo '+ ( ' ( 2 vo m R ' ( '3 ( 'B( @ ## F ma qvo B B m vo q R B m 2 q xo 2qEd m B 2 xo 2mEd q ? , 0A ! + ! " ! @ " " & " , ; + # B &F < , ; B &FG exits here B 2 xo 2mEd q XXXXXXXXX X X X X X X X X X &F XXXXXXXXX d XXXXXXXXX enters here B B !! ;9 , " ! ! " ! 'M H -( , # < ! X X X X X X X X X XX 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 XX 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 XX 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 XX X X X X X X X X X X X X X X X X '+ ( ' ( ; ; -* $; * 2 ' ( F , 0A ! + ! " ! @ " " & " , ; + # B 2 xo &FG exits here B - 2mEd q B &F < , ; XXXXXXXXX X X X X X X X X X &F XXXXXXXXX d XXXXXXXXX enters here B B !! ;9 , 9 , " ! ! " ! 'M H -( , # < ! ! vo 2 , ' (v F# '+ ( v @ vo 2 ## 1 mv 2 2 ' (v vo '3 (v 2vo 'B( v 2vo QEd 2qEd 2 2 1 mvo 2 v2 2 2vo v 2vo , 0A ! + ! " ! @ " " & " , ; + # B 2 xo &FG exits here B - 2mEd q B &F < , ; XXXXXXXXX X X X X X X X X X &F XXXXXXXXX d XXXXXXXXX enters here B B !! ;9 , " v ! ! " " , " ! 'M H -( , # < ! 2vo 9 , '+ ( F ! Fo 2 ' (F F " " '3 ( F # 'B( F Fo ' (F 2 Fo 2 Fo 2 2 Fo @ ## F QvB 2q 2vo B F 2 2 Fo , 0A ! + ! " ! @ " " & " , ; + # B 2 xo &FG exits here B - 2 mEd q B &F < , ; XXXXXXXXX X X X X X X X X X &F XXXXXXXXX d XXXXXXXXX enters here B B !! ;9 , v " 2vo ! ! F " 2 2 Fo " Ro ! " ! 'M H -( , # ! # 'B( R < ! 9 , '+ ( R Ro 2 2F 2 ' (R Ro 2 " " ' (R ! 2 Ro '3 ( R 2 Ro @ ## F v2 m R R v2 m F 2 2vo R m 2 2 Fo 2 vo m 2 Fo Ro 2 $ , 0A ! + ! " ! @ " " & " , ; + # B 2 xo &FG exits here B - 2mEd q B &F < , ; XXXXXXXXX X X X X X X X X X &F XXXXXXXXX d XXXXXXXXX enters here B B !! ;9 , " ! ! " ! 'M H -( , # < ! X X X X X X X X X XX 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 XX 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 XX 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 XX X X X X X X X X X X X X X X X X '+ ( ' ( ' ( <. 'B& " " ' ( ( ,. R Ro 2 + N R 1 2mEd B Q R Ro 2 ) ...
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