If you have an EM wave traveling in the +y-direction and the maximum Magnetic field is B=3.0x10-12 T î. What direction is the Electric field traveling? 2. What is the magnitude of the electric field at the maximum point? 3. What is the Poynting vector for the maximum points of this EM wave? 4. The intensity is the average value of the function of the poynting vector. If you multiply each magnitude (E and B) by a sine function, you’ll get sin2(wt) that multiplies E and B for some w. Find the average value of the trigonometric function, and use it to find the intensity of the electromagnetic wave.   can you please answer part 4 and explain what formula you used to solve it

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter34: Maxwell’s Equations And Electromagnetic Waves
Section34.2: Generalized Form Of Faraday’s Law
Problem 34.2CE
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If you have an EM wave traveling in the +y-direction and the maximum Magnetic field is B=3.0x10-12 T î. What direction is the Electric field traveling?

2. What is the magnitude of the electric field at the maximum point?

3. What is the Poynting vector for the maximum points of this EM wave?

4. The intensity is the average value of the function of the poynting vector. If you multiply each magnitude (E and B) by a sine function, you’ll get sin2(wt) that multiplies E and B for some w. Find the average value of the trigonometric function, and use it to find the intensity of the electromagnetic wave.

 

can you please answer part 4 and explain what formula you used to solve it 

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