A sinusoidal electromagnetic wave is propagating in vacuum. At a given point P and at a particular time, the electric field is in the x direction and the magnetic field is in the -y direction.(a) What is the direction of propagation of the wave?(b) If the intensity of the wave at point P is 7.43kW/cm2, what is the electric and magnetic field amplitude at that point? (c = 3.00 ×108 m/s, μ0 = 4π× 10-7 T · m/A,ε0 = 8.85 × 10-12 C2/N · m2)

a

The direction of the wave propagation is the negative  z -axis

b

The amplitude of  electric and magnetic field are   ,

respectively

Explanation:

According to right hand rule, your finger (direction of electric field) would be pointing in the positive  x-axis  i.e towards your right let your palms be face toward the direction of the magnetic field i.e negative y-axis  (toward the ground ) Then anywhere your thumb stretched out is facing is the direction of propagation of the wave here in this case is the negative  z -axis

             The Intensity of the wave is mathematically represented as

Given that

Making the subject we have

Substituting values as given on the question

The amplitude of the electric field is mathematically represented as

The amplitude of the magnetic field is mathematically represented as

Substituting value

0.19 m/s and 0.45 m/s