An E&M wave has an e-field given by E(x, t) = -(9.90/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)i cos (4.6 x 106 rad/m)y +(9.42 x 1013 rad/s)t).y B(x,t) = (33.0 nT)j cos ((6.28 x 105 rad/m)y +(2.78 × 1013 rad/s)e ). –x B(x,t) = (33.0 nT)î cos ((3.14 x 105 rad/m)y + (942 × 1013 rad/s)e ),-y B(x,t) = (11.5 µT)î cos ((4.6 x 10² rad/m)y + (1.38 × 1013 rad/s)te).-y. I. I. II. IV. II O None of the above

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter13: Continuous Systems; Waves
Section: Chapter Questions
Problem 13.18P
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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)
1.
B(x,t) = -(0.165 µA)î cos ((4.6 × 106 rad/m)y +(9.42 × 1013 rad/)e),y
B(x,t) = (33.0 nT)j cos ((6.28 × 105 rad/m)y + (2.78 × 1013 rad/,)e).
I.
B(x,t) = (33.0 nT)î cos ((3.14 x 105 rad/m)y + (9.42 × 1013 rad/,
B(x,t) = (11.5 µT)î cos ((4.6 x 10² rad/m)y + (1.38 × 1013 rad/s)te),-y.
III.
IV.
,-y.
II
None of the above
O IV
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) 1. B(x,t) = -(0.165 µA)î cos ((4.6 × 106 rad/m)y +(9.42 × 1013 rad/)e),y B(x,t) = (33.0 nT)j cos ((6.28 × 105 rad/m)y + (2.78 × 1013 rad/,)e). I. B(x,t) = (33.0 nT)î cos ((3.14 x 105 rad/m)y + (9.42 × 1013 rad/, B(x,t) = (11.5 µT)î cos ((4.6 x 10² rad/m)y + (1.38 × 1013 rad/s)te),-y. III. IV. ,-y. II None of the above O IV
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