An E&M wave has an e-field given by E(x, t) = -(9.90/m)k cos(ky + awt) and its wavelength is known to be 20 micrometers. Which of the following is correct for B(x, t) and the direction of propagation? (c = 3x10' m/s) B(x, 6) = -(0.165 µA)t cos ((4.6 x 10* rad/m)y + (942 x 1013 rad/,).y B(x. t) = (330 n7) cos (6.28 x 10 rad/m)y + (2.78 x 10 rad/,)e), -x B(x. t) = (33.0 n7)i cos (3.14 x 105 rad/m)y + (9.42 x 1013 rad/s)e), -y N. B6r.1) = (11.5 µ7)l cs (46 x 10 rad/m)y + (1.38 x 101 rad/,)e). -y. I. I. II None of the above IV II

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter34: Maxwell’s Equations And Electromagnetic Waves
Section: Chapter Questions
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An E&M wave has an e-field given by E(x, t) = -(9.90V/m)k cos(ky + wt) and its wavelength is
known to be 20 micrometers. Which of the following is correct for B(x, t) and the direction of
propagation? (c = 3x10° m/s)
B(x. t) = -(0.165 µA)l cos ((4.6 x 106 rad/m)y + (9.42 x 103 rad/,)e).y
B(x, t) = (33.0 n7)/ cos ((6,28 x 10* rad/m)y + (2.78 × 103 rad/,)e), -a
B(x, ) = (33.0 n7)i cos ((3.14 x 105 rad/m)y + (942 × 1013 rad/,)e), -y
B(x, ) = (11.5 µT)t cos ((4.6 x 102 rad/m)y + (1.38 × 10*3 rad/,)e), -y.
1.
II.
II.
IV.
II
None of the above
IV
II
Transcribed Image Text:An E&M wave has an e-field given by E(x, t) = -(9.90V/m)k cos(ky + wt) and its wavelength is known to be 20 micrometers. Which of the following is correct for B(x, t) and the direction of propagation? (c = 3x10° m/s) B(x. t) = -(0.165 µA)l cos ((4.6 x 106 rad/m)y + (9.42 x 103 rad/,)e).y B(x, t) = (33.0 n7)/ cos ((6,28 x 10* rad/m)y + (2.78 × 103 rad/,)e), -a B(x, ) = (33.0 n7)i cos ((3.14 x 105 rad/m)y + (942 × 1013 rad/,)e), -y B(x, ) = (11.5 µT)t cos ((4.6 x 102 rad/m)y + (1.38 × 10*3 rad/,)e), -y. 1. II. II. IV. II None of the above IV II
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