p34_082 - 82. (a) From kc = where k = 1.00 106 m1 , we...

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82. (a) From kc = ω where k =1 . 00 × 10 6 m 1 ,w eob ta in ω =3 . 00 × 10 14 rad/s. The magnetic feld amplitude is, ±rom Eq. 34-5, B =(5 . 00 V / m) /c =1 . 67 × 10 8 T. From the ±act that ˆ k (the direction o± propagation), ~ E = E y ˆ j, and ~ B are mutually perpendicular, we conclude that the only non-zero component o± ~ B is B x , so that we have (in SI units) B x =1 . 67 × 10 8 sin (( 1 . 00 × 10 6 ) z + ( 3 . 00 × 10 14 ) t ) . (b) The wavelength is λ =2 π/k =6 . 28 × 10
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