Energy and Momentum in Electromagnetic waves

AI Thread Summary
The discussion focuses on calculating the energy carried by a sinusoidal electromagnetic wave passing through a window with an area of 0.5 m² and an rms electric field value of 0.02 V/m during a 30-second interval. The Poynting vector, which describes the energy flow, is central to this calculation, with its magnitude expressed as S = E²/(cμ₀). The user initially sought help but later confirmed they found the answer independently. The conversation highlights the application of electromagnetic theory in practical scenarios. Understanding the Poynting vector is crucial for determining energy transfer in electromagnetic waves.
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A sinusoidal electromagnetic wave from a radio station passes perpendicularly through an open window that has area of .5m^2. At the window, the electic field of the wave has rms value of .02 V/m. How much energy does this wave carry through the window during a 30sec commercial?
 
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Poynting vector describes energy flow

The rate of energy flow per unit area of an electromagnetic wave is given by the Poynting vector:
\vec{S} = \frac{1}{\mu_0} \vec{E} \times \vec{B}

The magnitude of the Poynting vector can be shown to be:
S = \frac{E^2}{c\mu_0}
 
thanks for the reply but i found the answer
 
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