Starting from Maxwell's equations V x V × A = V(V· A) – V²A in a vacuum, use the identity and show that the electric and magnetic fields satisfy both the equation of a wave and obtain the speed of that wave in the MKS system.

A traveling electromagnetic wave in a vacuum has an electric field amplitude of 91.5 V/m. Calculate the intensity ? of this wave. Then, determine the amount of energy ? that flows through area of 0.0203 m2 over an interval of 15.7 s, assuming that the area is perpendicular to the direction of wave propagation.

A sinusoidal electromagnetic wave propagates in the +x direction through empty space. Its electric field is described by E = (3.56E4 V/m) × sin ((2.06E11 rad/s) t – (687 rad/m) x ) . What is the magnitude of momentum density (momentum per volume) of this electromagnetic wave (in kg/s·m2)?

Please help me with the following question and make sure all parts are correct, thanks The electric field of a sinusoidal electromagnetic wave obeys the equation E=−(355V/m)sin[(5.93×1015rad/s)t+(1.99×107rad/m)x]�=−(355V/m)sin⁡[(5.93×1015rad/s)�+(1.99×107rad/m)�]. For related problem-solving tips and strategies, you may want to view a Video Tutor Solution of Laser light. part a.  What is the amplitude of the magnetic field of this wave? Express your answer in teslas.   Part b What is the frequency of the wave? Express your answer in hertz.   Part c What is the wavelength of the wave? Express your answer in nanometers.   Part d What is the period of the wave? Express your answer in seconds.   Part e What is the speed of the wave? Express your answer in meters per second.