A plane electromagnetic wave of wavelength 3.0m travels infree space in the +x d

Question

A plane electromagnetic wave of wavelength 3.0m travels infree space in the +x direction. Its electric field vector E has anamplitude of 300 V/, and is directed along the +y direciton. a) waht is the frequency of the wave? b) what are the direction and amplitude of the associatedmagnetic field B? c) If E=^yE0sin(kx-wt), what are the magnitudes of k andw? A plane electromagnetic wave of wavelength 3.0m travels infree space in the +x direction. Its electric field vector E has anamplitude of 300 V/, and is directed along the +y direciton. a) waht is the frequency of the wave? b) what are the direction and amplitude of the associatedmagnetic field B? c) If E=^yE0sin(kx-wt), what are the magnitudes of k andw?

Explanation / Answer

Wavelength = 3 m frequency f = c /                   =( 3 * 10 ^ 8 m / s ) / 3 m                  = 10 ^ 8 Hz (b). Amplitude of magnetic field B = E / c                                                     = ( 300 V / m ) / ( 3 * 10 ^ 8 m / s )                                                      =10 ^ -6 T magnetic field is along + Z-direction ( c ) . Magnitude of k = 2 /                                   = 2.094 m ^ -1 magnitude of w = 2f                        = 6.28* 10 ^ 8 rad / s

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