A plane electromagnetic wave varies sinusoidally at 90.0

Chapter 34, Problem 76

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A plane electromagnetic wave varies sinusoidally at 90.0 MHz as it travels through vacuum along the positive \(x\) direction. The peak value of the electric field is 2.00 mV/m, and it is directed along the positive \(y\) direction. Find (a) the wavelength, (b) the period, and (c) the maximum value of the magnetic field. (d) Write expressions in SI units for the space and time variations of the electric field and of the magnetic field. Include both numerical values and unit vectors to indicate directions. (e) Find the average power per unit area this wave carries through space. (f) Find the average energy density in the radiation (in joules per cubic meter). (g) What radiation pressure would this wave exert upon a perfectly reflecting surface at normal incidence?

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