What will be the direction of the Poynting vector?

  1. x direction
  2. y direction
  3. z direction
  4. -z direction

Answer (Detailed Solution Below)

Option 4 : -z direction
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Poynting vector:

It states that the cross product of electric field vector (E) and magnetic field vector (H) at any point is a measure of the rate of flow of electromagnetic energy per unit area at that point that is 

Where P = Poynting vector, E = Electric field and H = Magnetic field

The Poynting vector describes the magnitude and direction of the flow of energy in electromagnetic waves.

The unit of the Poynting vector is Watt/m2

Analysis:

For the given distribution, the direction of electric field = +y direction, and

The direction of magnetic field = +x direction.

Now, the direction of propagation must be such that it satisfies the Poynting theorem, i.e. the direction of propagation will be:

p =  âY × âX

p = - âZ

∴ The wave is propagating in the negative z-direction.

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