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?

Answer 1

please the answer below

Step-by-step 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!!