PHY_solution-chapter32

PHY_solution-chapter32 - 32.1 a s 28 1 s m 10 00 3 m 10 84...

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Unformatted text preview: 32.1: a) . s 28 . 1 s m 10 00 . 3 m 10 84 . 3 8 8 = × × = = c d t Light travel b) time is: s 10 72 . 2 ) hour 1 ( ) s 3600 ( ) day 1 ( ) hours 24 ( ) year 1 ( ) days 365 ( ) years 61 . 8 ( years 61 . 8 8 × = = km. 10 8.16 m 10 8.16 s) 10 (2.72 s) m 10 . 3 ( 13 16 8 8 × = × = × × = = ct d 32.2: . m 180 ) s 10 . 6 ( ) s m 10 . 3 ( 7 8 = × × = ∆ =- t c d 32.3: j j B ˆ 2 cos ˆ cos( ) max max - =- = t c z f B ωt) kz B (z,t π j B ˆ s) m 10 00 . 3 ( Hz) 10 10 . 6 ( 2 cos ) T 10 80 . 5 ( ) ( 8 14 4 - × × × = ⇒- t z z,t π . ˆ ) ) s rad 10 83 . 3 ( ) m 10 28 . 1 (( cos ) T 10 80 . 5 ( ) ( 15 1 7 4 j B t z ,t z ×- × × = ⇒-- ) ˆ ( ) ˆ ( ) ( k j E c (z,t) B z,t y × = . ˆ s) rad 10 83 . 3 ( ) m 10 28 . 1 (( cos m) V 10 74 . 1 ( ) ( 15 1 7 5 i E t) z z,t ×- × × = ⇒- 32.4: a) . Hz 10 90 . 6 m 10 35 . 4 s m 10 00 . 3 λ 14 7 8 × = × × = =- c f b) . T 10 00 . 9 s m 10 00 . 3 m V 10 70 . 2 12 8 3 max max-- × = × × = = c E B c) The electric field is in the x-direction, and the wave is propagating in the - z- direction. So the magnetic field is in the - y-direction, since . B E S × ∝ Thus: . ˆ ) ) s rad 10 34 . 4 ( ) m 10 45 . 1 cos(( ) m V 10 70 . 2 ( ) ( ˆ s m 10 00 . 3 ) Hz 10 90 . 6 ( 2 cos V/m) 10 70 . 2 ( ) , ( ˆ 2 cos ˆ ( cos ) , ( 15 1 7 3 8 14 3 max max i E i E i i E t z z,t z t π t z t c z πf E ωt) kz E t z × + × × = ⇒ × + × × = ⇒ + = + =--- And . ˆ ) ) s rad 10 34 . 4 ( ) m 10 45 . 1 cos(( ) T 10 00 . 9 ( ˆ ) , ( ) , ( 15 1 7 12 j j B t z c t z E t z × + × ×- =- =-- 32.5: a) y + direction. b) m. 10 11 . 7 ) s rad 10 65 . 2 ( ) s m 10 00 . 3 ( 2 2 λ λ 2 2 4 12 8- × = × × = = ⇒ = = π ω πc πc πf ω 9300e5d7cb94a10817696f399bba253beb8abc90.doc Page 1 of 16 c) Since the electric field is in the z--direction, and the wave is propagating in the y +-direction, then the magnetic field is in the x--direction ). ( B E S × ∝ So: i i i B ˆ ) sin( ˆ ) sin( ˆ ) , ( ) , ( t y c c E t ky c E c t y E t y ϖ ϖ ϖ-- =-- =- = i B ˆ ) s rad 10 65 . 2 ( ) s m 10 00 . 3 ( ) s rad 10 65 . 2 ( sin s m 10 00 . 3 m V 10 10 . 3 ) , ( 12 8 12 8 5 ×- × × × ×- = ⇒ t y t y . ˆ ) ) s rad 10 65 . 2 ( ) m 10 83 . 8 sin(( ) T 10 03 . 1 ( ) , 12 3 3 i ( B t y t y ×- × ×- = ⇒- 32.6: a) x- direction. b) . Hz 10 59 . 6 2 ) s m 10 . 3 ( ) m rad 10 38 . 1 ( 2 2 2 11 8 4 × = × × = = ⇒ = = π π kc f c f π λ π k Since the c) magnetic field is in the y +-direction, and the wave is propagating in the x--direction, then the electric field is in the z +-direction ). ( B E S × ∝ So: ....
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This note was uploaded on 02/25/2009 for the course PHY 127 taught by Professor Mr.yang during the Spring '08 term at SUNY Stony Brook.

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PHY_solution-chapter32 - 32.1 a s 28 1 s m 10 00 3 m 10 84...

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