The magnetic field in a plane electromagnetic wave is represented by the equation B = Bmay sin(ky - wt)i where Bmax = 2.94 x 10T and k = 5.86 x 10' /m. (Assume a standard xyz right-handed coordinate system.) (a) What is the magnitude and direction of the electric field at the instant the magnetic field is a maximum? (Express your answer in vector form.) = 88.2k V/m Emax (b) What is the wavelength of the wave? 10.7 How is the wavelength of EM waves related to the wave number? nm (c) What is the frequency of the wave? 2.80E-15 How is the frequency related to the wavelength? Hz

University Physics Volume 2
18th Edition
ISBN:9781938168161
Author:OpenStax
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Chapter16: Electromagnetic Waves
Section: Chapter Questions
Problem 58P: The magnetic field of a plane electromagnetic wave moving along the z axis is given by B...
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The magnetic field in a plane electromagnetic wave is represented by the equation B = Bmax sin(ky - wt)î where Bmax = 2.94 x 10 T and k = 5.86 x 10' /m. (Assume a standard xyz right-handed coordinate system.)
(a) What is the magnitude and direction of the electric field at the instant the magnetic field is a maximum? (Express your answer in vector form.)
Emax - 88.2k
V/m
(b) What is the wavelength of the wave?
10.7
How is the wavelength of EM waves related to the wave number? nm
(c) What is the frequency of the wave?
2.80E-15
How is the frequency related to the wavelength? Hz
Transcribed Image Text:The magnetic field in a plane electromagnetic wave is represented by the equation B = Bmax sin(ky - wt)î where Bmax = 2.94 x 10 T and k = 5.86 x 10' /m. (Assume a standard xyz right-handed coordinate system.) (a) What is the magnitude and direction of the electric field at the instant the magnetic field is a maximum? (Express your answer in vector form.) Emax - 88.2k V/m (b) What is the wavelength of the wave? 10.7 How is the wavelength of EM waves related to the wave number? nm (c) What is the frequency of the wave? 2.80E-15 How is the frequency related to the wavelength? Hz
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