Question

Learning Goal:

To understand the formula representing a traveling electromagnetic wave.

Light, radiant heat (infrared radiation), \(X\) rays, and radio waves are all examples of traveling electromagnetic waves. Electromagnetic waves comprise combinations of electric and magnetic fields that are mutually compatible in the sense that the changes in one generate the other. 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

$$ \begin{array}{l} \vec{E}=E_{0} \sin (k x-\omega t) \hat{j} \\ B=B_{0} \sin (k x-\omega t) \hat{k} \end{array} $$

This wave is linearly polarized in the \(y\) direction.

Answer 1

Part F.

as we know that sine is a periodic function of period $2\pi$

hence

sin(kx) = sin(kx +kX) = sin(kr +27)

hence

k = 27

X=27/k

PART G:

Similarly

time period

А= 2п-