The magnetic field in a plane monochromatic electromagnetic wave with wavelength λ = 445 nm, propagating in a vacuum in the z-direction is described by where , and i-hat and j-hat are the unit vectors in the +x and +y directions, respectively.
1) What is k, the wavenumber of this wave?
2)What is zmax, the distance along the positive z-axis to the position where the magnitude of the magnetic field is a maximum at t = 0?
3)What is Emax, the amplitude of the electric field oscillations?
4)What is Ey, the y-component of the electric field at (x = 0, y-0, z = zmax) at t = 0?
