The magnitude of the magnetic field component of a plane polarized electromagnet

Question

The magnitude of the magnetic field component of a plane polarized electromagnetic wave traveling in vacuum is given by By = Bo sin[k z – t]. Which one of the following statements concerning this electromagnetic wave is true?

Question 7 options:

1) The wave propagates in the y direction. 2) The electric field component vibrates in the z direction. 3) The wave is polarized in the x direction. 4) The wavelength is equal to k/. 5) The electric field component has a magnitude of E = cBo cos[k z – t].

Explanation / Answer

1) It is incorrect as the equation of magnetic field reveals that the wave is propagating along z direction.

2) It is incorrect as in electromagnetic waves the electric field E, magnetic field B and the dirrection of wave propagation all are prependicular to each other. As mentioned z is the direction of propagation so electric field E can not vibrate along z axis.

3) It is correct as the B is along y direction and wave is propagating along z direction so E will be along x direction. Hence, the wave polarization will be along x direction.

4) It is incorrect as it defines the reciprocal of the speed not the wavelength.

5) It is incorrect as for a plane polarized wave E=cBo Sin[kz -w t] not the cosine component.

Option 3 is true as the wave is polarized in the x direction.

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