An electromagnetic plane wave, that is propagating in the x-direction at a speed of 3.00 x108 m/s, has a peak electric field strength of 4,200 N/C and a wavelength of 900 nm. Which of the following functions represents the correct behavior for the magnetic field?   a. B(x, t) = (21 µT)sin[(9.00 x 10-7 m-1)x – (2.09 x 1015 rad/s)t]   b. B(x, t) = (28 µT)sin[(6.98 x 106 m-1)x – (2.09 x 1015 rad/s)t]   c. B(x, t) = (14 µT)sin[(6.98 x 106 m-1)x – (2.09 x 1015 rad/s)t]   d. B(x, t) = (14 µT)sin[(6.98 x 106 m-1)x – (3.14 x 1015 rad/s)t]   e. B(x, t) = (4,200 µT)sin[(6.98 x 106 m-1)x – (2.09 x 1015 rad/s)t]

University Physics Volume 2
18th Edition
ISBN:9781938168161
Author:OpenStax
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Chapter16: Electromagnetic Waves
Section: Chapter Questions
Problem 87P: A certain 60.0-Hz ac power line radiates an electromagnetic wave having a maximum electric field...
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An electromagnetic plane wave, that is propagating in the x-direction at a speed of 3.00 x108 m/s, has a peak electric field strength of 4,200 N/C and a wavelength of 900 nm. Which of the following functions represents the correct behavior for the magnetic field?

  a.

B(x, t) = (21 µT)sin[(9.00 x 10-7 m-1)x – (2.09 x 1015 rad/s)t]

  b.

B(x, t) = (28 µT)sin[(6.98 x 106 m-1)x – (2.09 x 1015 rad/s)t]

  c.

B(x, t) = (14 µT)sin[(6.98 x 106 m-1)x – (2.09 x 1015 rad/s)t]

  d.

B(x, t) = (14 µT)sin[(6.98 x 106 m-1)x – (3.14 x 1015 rad/s)t]

  e.

B(x, t) = (4,200 µT)sin[(6.98 x 106 m-1)x – (2.09 x 1015 rad/s)t]

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