The components of the electric field in an electromagnetic wave traveling in vac

Question

The components of the electric field in an electromagnetic wave traveling in vacuum are described by E_x = 0, E_y = 0, and E_z = 5.99 sin(3.88x - omega t) V/m, where x is measured in meters and t in seconds. Calculate the frequency of the wave. 1.85 times 108 Hz Calculate the wavelength of the wave. 1.62 m Calculate the amplitude of the magnetic field of the wave. _________ Calculate the intensity of the wave. __________ Incompatible units. No conversion found between "wb/m^cap2" and the required units.

Explanation / Answer

3)

B0=E0/c

B0 = 5.99/3x10^8 = 1.997x10^-8 T (ans)

4)

I=cB0^2/(2o)

where

o=4x10^-7 H/m

then

I=[3x10^8*(1.997x10^-8)^2]/(2*4x10^-7)

I = 0.0476 W/m^2 (ans)

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