Light, radiant heat (infrared radiation), X rays, and radio waves are all exampl

Question

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

E?=E0sin(kx??t)y^ ,

B?=B0sin(kx??t)z^ .

This wave is linearly polarized in the y direction

Part A

What is the velocity of electromagnetic waves?

Part B

For an electromagnetic wave with maximum electric field of 2800V/m , and wavelength of 587nm , what is the k (angular wave number) and ? (angular frequency)?

Put in the angular wave number followed by a comma and then the angular frequency.

Part C

What is the period T of the wave described?

Part D

What is the maximum magnetic field for the wave described?

Part E

What is the intensity of the wave described?

Explanation / Answer

Here ,

A)

the speed of electromagnetic waves = c

speed of electromagnetic waves = 3 *10^8 m/s

B)

Here ,

k = 2pi/wavelength

k = 2pi/587 *10^-9

k = 1.070 *10^7 rad/m

Now, for w

w = v*k

w = 3 *10^8 * 1.070 *10^7

w = 3.211 *10^15 rad/s

angular frequency is 3.211 *10^15 rad/s

c)

time period , T = 2pi/w

T = 2pi/3.211 *10^15

T = 1.957 *10^-15 s

d)

as Bm = Em/c

Bm = 2800/3*10^8

Bm = 9.33 *10^-6 T

the maximum magnetic field for the wave described is 9.33 *10^-6 T

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