hw1_soln - HW1 Solution 1) 3) 4) Extra-Credit a) k = 2 y +...

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HW1 Solution Extra-Credit a) ) ( 405 . 1 / 2 ); / ( 10 342 . 1 ); / ( 47 . 4 16 4 | | , ˆ 4 ˆ 2 9 m k s rad kc m rad k k z y k = = × = = = + = = + = π λ ω G G b) ) 4 2 ( ) ˆ 5 ˆ 10 ( z y j e z y E + + = G c) ) / ( ˆ 02967 . 0 ; 47 . 4 ˆ 40 ˆ 10 ˆ 5 ˆ 10 47 . 4 ) ˆ 4 ˆ 2 ( ˆ ˆ ˆ ; / ) 4 2 ( m A e x H E x x E z y z y E k H E H z y j o o o o o + = + = + × + = × = = G η ) / )( 4 2 10 342 . 1 cos( ˆ 02967 . 0 9 m A z y x h + × = G d) ) / ( ) ˆ 2 ˆ ( 07418 . 0 377 / | 5 10 |
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