Question

A plane monochromatic electromagnetic wave with wavelength 1 = 5.1 cm, propagates through a vacuum. Its magnetic field is described by B = (Bxi + B.j) cos(kz + wt) where Bx = 3.5 x 10-6 T, By = 5.7 x 10-6 T, and i-hat and j-hat are the unit vectors in the +x and +y directions, respectively.

Answer 1

It seems like you have provided the description of a plane monochromatic electromagnetic wave in a vacuum. The magnetic field is given by B = (Bx*i + By*j) * cos(kz + wt), where Bx = 3.5 x 10^(-6) T and By = 5.7 x 10^(-6) T are the amplitudes of the magnetic field components in the x and y directions, respectively. The unit vectors i and j represent the +x and +y directions, respectively. The wave is propagating in the z-direction.

The expression kz + wt represents the phase of the wave, where k is the wave number, z is the spatial coordinate in the propagation direction, w is the angular frequency, and t is the time.

However, the values for k and w are not provided in the given information. To fully describe the wave, we would need the values of k and w, which are related to the wavelength (λ) and frequency (f) of the wave by the equations:

k = 2π / λ

w = 2πf

Please provide the values of wavelength or frequency to obtain more specific information about the wave.