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2 years ago

The y -component of the electric field of an electromagnetic wave traveling in the +x direction through vacuum

Physics

1 answer:

Volgvan2 years ago

6 0

The y -component of the electric field of an electromagnetic wave traveling in the +x direction through vacuum

Ey = 375•Cos[kx - (2.20 × 10¹⁴t)]
Speed of light
c = 3×10^8m/s
hat is the wavelength?
Generally,
The wavelength of electromagnetic wave is give as
Ey = Emax•Cos(kx—wt)
k = 2π/λ
w = 2πf
Ey = Emax•Cos(2πx/λ—2πft)
Comparing this to the wave equation given,
We notice that,
2πx/λ = kx
Also,
2.20 × 10¹⁴t = 2πft
t cancels out
2.20 × 10¹⁴ = 2πf
f = 2.20 × 10¹⁴ / 2π
f = 3.5 × 10¹³ Hz
Since we are given that
c = 3×10^8m/s
Then, using relationship between c, v and λ.
c = fλ.
λ. = c/f
λ. = 3×10^8 / 3.5 ×10¹³
λ. = 8.57 × 10^-6m
λ. = 8.57 μm
The wavelength of the electromagnetic wave is 8.57 micro meter (8.57 μm)

<h3>What is electromagnetic wave?</h3>

In terms of science, electromagnetic radiation (EMR) is made up of electromagnetic (EM) field waves that travel over space while carrying radiant electromagnetic energy. It consists of X-rays, gamma rays, microwaves, infrared, visible light, ultraviolet, and radio waves. These waves are all a component of the electromagnetic spectrum.

Electromagnetic waves, which are synchronized oscillations of the electric and magnetic fields, are the traditional form of electromagnetic radiation. Due to the periodic alteration of the electric or magnetic field, electromagnetic radiation or waves are produced. Different wavelengths of the electromagnetic spectrum are created depending on the manner in which this periodic change takes place and the power generated. Electromagnetic waves move at the speed of light, typically abbreviated as c, in a vacuum. The oscillations of the two fields are perpendicular to one another and perpendicular in homogeneous, isotropic media.

To learn more about electromagnetic wave from the given link:

brainly.com/question/8773290

#SPj4

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