What Is Poynting's Vector and How Is It Calculated?

[Jack_O]

Problem:

Attempt:

I think I've done the first bit correctly (but I'm not certain). As for the second half of the question I'm at a loss. I have looked up poyntings vector and found S=ExH where H is the auxiliary magnetic field (i'm not sure what this means) and S=(1/u(0)) (ExB), but I'm not sure what to do with it.

Any help appreciated.

 

[naresh]

In free space, the auxiliary field H is just $$B/\mu_0$$

Your answer to the first part is correct for the most part, however it is better to leave your final answer as a vector - that will help you evaluate vector cross products better. Please also check your integration step.

Wikipedia has an excellent article on the Poynting vectors, and how it is related to the intensity of the wave. You should look it up.
http://en.wikipedia.org/wiki/Poynting_vector

 

[thomate1]

Hello,

Poynting's vector, also known as the Poynting flux, is a mathematical concept used in electromagnetism to describe the directional flow of energy in an electromagnetic field. It is defined as the cross product of the electric field vector, E, and the magnetic field vector, H, and is represented by the symbol S. The equation for Poynting's vector is S = E x H.

In order to solve a problem involving Poynting's vector, you will need to have information about the electric and magnetic fields present in the system. This can include the strength and direction of the fields, as well as any other relevant variables such as the medium in which the fields are propagating.

Without more specific information about the problem you are trying to solve, it is difficult to provide a more detailed response. However, some general steps for solving a problem involving Poynting's vector could include:

1. Identify the electric and magnetic fields present in the system.
2. Determine the direction and magnitude of each field.
3. Use the cross product formula, S = E x H, to calculate the Poynting vector.
4. Interpret the results in the context of the problem, considering factors such as energy flow and direction.

I hope this helps guide you in solving your Poynting's vector problem. If you need further assistance, please provide more specific information about the problem and I would be happy to assist you further.

Best,