Plane Wave, Power Passing Through Copper Sheet

[jegues]

Homework Statement

See figure attached.

Homework Equations

The Attempt at a Solution

See other figure attached.

Am I correctly calculating the power that passes through the area given in i) at the surface?

I'm not certain my expressions for,

$$\vec{P_{2AV}^{t}}$$ are correct for the general case.

Is what I have correct?

EDIT: I feel like the aim of this problem has nothing to do with what my solution attempted to achieve.

Isn't this a simple poynting vector problem that has nothing to do with incident, transmitted and reflected waves?

 

[mark726]

Dear poster,

Thank you for your question. From your figures and equations, it appears that you are indeed correctly calculating the power that passes through the given area at the surface. However, without more context or information about the problem, it is difficult to determine if your solution is completely correct. It is always a good idea to double check your calculations and equations to ensure accuracy.

Regarding your concern about the aim of the problem, it is possible that the problem may have multiple layers or components that require consideration of incident, transmitted, and reflected waves. It is best to carefully read the problem statement and any accompanying information to fully understand the objective of the problem.

If you are still unsure about your solution, I recommend seeking assistance from a colleague or your instructor for further clarification. Good luck with your problem!