Consider the plane electromagnetic wave in vacuum (in SI units) given by the expressions E_x = 0, E_y = 2 cos [2π × 10¹⁴(t - x/c) + π/2], and E_z = 0.

(a) What are the frequency, wavelength, direction of motion, amplitude, initial phase angle, and polarization of the wave?

(b) Write an expression for the magnetic flux density.