1) A plane electromagnetic wave, with wavelength 3 m, travels in vacuum in the p

Question

1) A plane electromagnetic wave, with wavelength 3 m, travels in vacuum in the positive x direction with its electric vector E, of amplitude 388.9 V/M, directed along y axis. What is the time-averaged rate of energy flow in watts per square meter associated with the wave?

2) An electromagnetic wave is traveling in the negative y (-j) direction. At a particular position and time, the electric field is along positive z (+k) axis and has a magnitude of 102 V/m. What is the magnitude and direction of the magnetic field at that position and at that time?

Explanation / Answer

1. time avg rate of eenrgy flow = intensity = Emax^2/2uoC

I = 388.9 *388.9/(2*4pi*10^-7 * 3*10^8)

I = 200.69 W/m^2

2. eletric field and magnetic field are related by E= Bc

so B =E/c = 102/3e8 = 3.4 *10^-7 T along -ve x axis

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