A plane monochromatic electromagnetic wave with wavelength l

A plane monochromatic electromagnetic wave with wavelength lambda = 2.8 cm, propagates through a vacuum. Its magnetic held is described by B = (B_x I + B_y j) cos(kz + omega t) wghere beta_x = 3 times 10^-6 T, delta_y = 3.5 times 10^-6 T, and i-hat and j-hat are the unit vectors in the +x and +y directions, respectively What is f, the frequency of this wave? What is I, the intensity of this wave? What is S_x, the 2-component of the Poynting vector at (x = 0, y = 0, z = 0) at t = 0? What is E_x, the x-component of the electric field at (x = 0, y = 0, z = 0) at t = 0? Compare the sign and magnitude of S_z, the z-component of the Poynting vector at (x= y = z = t = 0) of the wave described above to the sign and magnitude of S_IZ, the z-component of the Poynting vector at (x= y = z = t = 0) of another plane monochromatic electromagnetic wave propagating through vaccum described by: B = (B_H_x i - B_H_y j) cos(kz - omega t) where B_H_x = 3.2 times 10^-6 T, B_H_y = 3 times 10^-6 T, and i-hat and j-hat are the unit vectors in the +x and +y direction respectively.

Solution

1. Frequency of Monochromatic wave is 1 GHz.

2. Intensity of wave is 21.8 W/m ²

3. Value of S₂., Z component of pointing vector is 8.12 W/m²

4. X-component of electric field (E) is equal to 12.84 W/m ^2.