Lect23 - $" $& t=0 sin kz 2 cos kz t =/2 1 2 3 4 5...

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Unformatted text preview: ! $ ! " # % $ & ! ' ! ! ( ! * * ) % ,-+. / + t=0 * sin( kz 2 ) cos( kz) + t = /2 ) 1 2 3 4 5 16 4 " '7 0 speed c /4 /2 2 f 8 - No moving in the minus z direction No has Ey rather than Ex 7 8 - c=3.0 x 108 m/s ! : ! " : ; c f 300, 000, 000 900, 000, 000 8 -< " 1 3 - + 9 !1 & ! > : 1 = < . @ ' A 5 ) < , ( " < / !) 0 0 A 5 < 1 2 ! , ( < / B " = v/c f 1 f 1 >0 <0 B " B " ! ! ? . f' f Source approaching observer v or f f' Observer approaching source v @' D A D is the SAME for both cases ! D 4 5 & 13 3 81 A f 1 f 1 1 2 C 5 ! ! ) ! > : ) ! , * !( / ! * E * ! ) 2 ) - < f f 1 2 If f = 24,000,000,000 Hz (k-band radar gun) c = 300,000,000 m/s v 30 m/s (67 mph) 31 m/s (69 mph) 1.000 x 10-7 1.033 x 10-7 f' 24,000,004,800 24,000,004,959 f'-f 4800 Hz 4959 Hz $ 8 A) B) C) - " % E$$ 2 4 + - D 4 ) f f : ) F 1014 109 ( D F - ( > 0) 105 1 1 1/ 2 0 10 10 1 1 1010 1 1 10 1010 1 1 10 10 10 & * * < 1 (2 10 10 ) . &D & 1 2 * f 1 f 1 << f f 1 Remember > 0 for approach < 0 for separation %$ 2 4 A 00 < * F( ) 1 1 1/ 2 F( ) < F (0 ) F (0 ) 1! F (0) 2! ... D F ( ) (1 < )n F (0) 1 F ( 0) 1 F( ) 1 F( ) 1 n 8 ! 1 1 %& ! ! I 1 dU A dt ! % & %& dU u volume u Acdt I c u ! < 1 G $$$H' ' G - ' 7 8 ! 9 8 H .1 I1 ) ! : - !3 1 ! ) = ! 2 & ! 2 ' < J * J J ! ! E p2 2m dE dt 2 p dp 2m dt mv dp m dt vF > .2 ) < dE dt dU dt IA IA cF I c F A v c P 5 I c ? 8 - " B. Increase keeping E constant D. Neither of the above will increase the energy Which of the following actions will increase the energy carried by an electromagnetic wave? A. Increase E keeping constant C. Both of the above will increase the energy 1 0 C 4 " K & ) < < " < ! < : 8 % % ' K & ) ) : <4 ) < 1 @ ,) !" " ) " ) ) : < 2 ) L: ! . 0 ) D " M ! ; + B ) -@ % =; = / < 2 J 4A 7 E ! , % / . 7 H. ) 0 8 & ) ^ j * " N " < ! ) E ; ^ 0 cos(kz jE t) + ! " ,&/ L M, " , / C$ N+ * / ,8 / , / E ^ 0 cos(kz jE t) E B points in direction of propagation B + ^ iB0 cos(kz t) $ 8 & ! # ) " $ t) t) " < E ^ i ^ j E0 cos(kz 2 * t) + ,&/ B , / B ^ i ^ i ^ j ( E0 / c) cos(kz 2 ^ j ( E0 / c) cos(kz 2 ^ j E0 cos(kz 2 ,8 / B , / B ^ i 2 ^ i 2 ^ j ^ j ( E0 / c) cos(kz ( E0 / c)cos(kz t) t) E i^ t) I+ N+ .+ * E B points in negative z-direction 8 & ! ) " " < % & E ^ 0 sin(kz jE # '( t) ,&/ ! N+ .+ , / +. ,8 / ^ B i ( E0 / c)sin(kz % ' < , / t) / 2) * E B points in negative z-direction Bx ( E0 / c)sin(kz Bx ( E0 / c){sin kz cos( / 2) cos kz sin( / 2)} Bx ( E0 / c) cos(kz ) 8 & ! ; P ) * % + -!! #. ;4 ! ) <L ! ) ;& " ! " J M ! ) O ,# /!! # & ,&/ A Q & ! Q Q Q 1 ) " ! ) ! ( ! ! , ' /) " ! , / D : " ! ! J D ! & ! ; P , % -!! $ #. ;4 ! ) <L ! ) ;& " ! " J M ! ) O /!! #& ,&/ 97$ 5 ' , / 9; # $7 7 ' < f ,8 / 9; # $? 7 f 1 1 ' , / 9; # $C 7 ' f f D % # $C 600 500 * ' 1 1 36(1 ) 25(1 " < f 0 ) f (1 ) 11 0.18 61 1 5 0.2 % 9; # $? 7 ' 112 ) 3 4 7 ...
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This document was uploaded on 03/08/2012.

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