The simplest form of a traveling electromagnetic wave is a plane wave. For a wave traveling in the x direction whose electric field is in th

Question

The simplest form of a traveling electromagnetic wave is a plane wave. For a wave traveling in the x direction whose electric field is in the y direction, the electric and magnetic fields are given by the picture shown above. This wave is linearly polarized in the y direction.

1. In these formulas, it is useful to understand which variables are parameters that specify the nature of the wave. The variables E_0and B_0 are the __________ of the electric and magnetic fields.

a. maximas
b. wavelenghts
c. amplitudes.
d. velocities

2. The variable omega is called the __________ of the wave.

a. wavenumber
b. wavelength
c. velocity
d. frequency
3. What is the mathematical expression for the electric field at the point x=0, y=0, z at time t?
4. For a given wave, what are the physical variables to which the wave responds?

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Delwyn 5 years 2021-07-18T16:23:56+00:00 1 Answers 27 views 0

Answers ( )

  1. Nick
    0
    2021-07-18T16:25:06+00:00
    Reply

    Answer:

    please the answer below

    Explanation:

    A general electromagnetic plane wave, traveling in the x direction, can be expressed in the form:

    \vec{E}=E_0e^{-i(k\cdot x-\omega t)}\hat{j}\\\\\vec{B}=B_0e^{-i(k\cdot x-\omega t)}\hat{k}\\\\    (1)

    1.

    a. amplitudes

    from (1) we can observe that E_0 and B_0 are the amplitudes.

    2. frequency

    3.

    By replacing  (1) we obtain:

    \vec{E}=E_0e^{-i(k(0)-\omega t)}\hat{j}=E_0[cos\omega t+sin\omega t]\hat{j}

    4.

    the wave respond to the followinf physical variables: amplitude, frequency, time and position, as we can see in (1).

    hope this helps!!

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