955_Physics ProblemsTechnical Physics

955_Physics ProblemsTechnical Physics - 296 P34.8...

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296 Electromagnetic Waves P34.8 EE k x t =− max cos ω bg E x Ek x t k E t x t E x x t k E t x t max max max max sin sin cos cos ωω af ej 2 2 2 2 2 2 We must show: =∈ E x E t 2 00 2 2 µ . That is, −− = k E kx t E kx t 2 2 max max cos cos ωµ . But this is true, because k f c 2 2 2 2 11 λ = F H G I K J ==∈ . The proof for the wave of magnetic field follows precisely the same steps. P34.9 In the fundamental mode, there is a single loop in the standing wave between the plates. Therefore, the distance between the plates is equal to half a wavelength. == = 22 2 0 0 4 0 0 L .. m m Thus, f c × = 300 10 400 750 10 750 8 7 . . ms m Hz MHz . P34.10 d A to A cm = 65 % 2 ± × = × ± 12 5% 0 12 5% 2 45 10 2 9 10 5% 91 8 cm s m s vf . Section 34.3
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This note was uploaded on 12/14/2011 for the course PHY 203 taught by Professor Staff during the Fall '11 term at Indiana State University .

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